@@ -20,7 +20,7 @@ Year
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## 9.2.3 Roll-Off Filters {#9-dot-2-dot-3-roll-off-filters}
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## 9.2.3 Roll-Off Filters {#9-dot-2-dot-3-roll-off-filters}
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[Spillover Effect]({{< relref "spillover_effect.md" >}})
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Spillover Effect
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> Synthesizing control logic using only one vibration mode means we are consciously **neglecting the higher-order vibration modes**.
|
> Synthesizing control logic using only one vibration mode means we are consciously **neglecting the higher-order vibration modes**.
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||||||
> When doing this, it is a good idea to insert "roll-off" into the control logic, so that the loop-transfer gain decreases rapidly with frequency beyond the control bandwidth.
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> When doing this, it is a good idea to insert "roll-off" into the control logic, so that the loop-transfer gain decreases rapidly with frequency beyond the control bandwidth.
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@@ -53,7 +53,7 @@ In order to provide low frequency passive vibration isolation, the hard actuator
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<a id="table--tab:mcinroy99-strut-model"></a>
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<a id="table--tab:mcinroy99-strut-model"></a>
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<div class="table-caption">
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<div class="table-caption">
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<span class="table-number"><a href="#table--tab:mcinroy99-strut-model">Table 1</a>:</span>
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<span class="table-number"><a href="#table--tab:mcinroy99-strut-model">Table 1</a>:</span>
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Definition of quantities on <a href="#orgef559a8">2</a>
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Definition of quantities on <a href="#orgcbfa359">2</a>
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</div>
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</div>
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| **Symbol** | **Meaning** |
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| **Symbol** | **Meaning** |
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@@ -619,7 +619,7 @@ The core of the control system is the _plant_, which is the physical system that
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<a id="table--tab:walk-control-loop"></a>
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<a id="table--tab:walk-control-loop"></a>
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<div class="table-caption">
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<div class="table-caption">
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||||||
<span class="table-number"><a href="#table--tab:walk-control-loop">Table 3</a>:</span>
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<span class="table-number"><a href="#table--tab:walk-control-loop">Table 3</a>:</span>
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Symbols used in <a href="#org8840e97">3</a>
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Symbols used in <a href="#orgf3a5f79">3</a>
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</div>
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| Symbol | Meaning | Unit |
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| Symbol | Meaning | Unit |
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@@ -2,7 +2,7 @@
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title = "Second Blog Post"
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title = "Second Blog Post"
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||||||
author = ["Dehaeze Thomas"]
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author = ["Dehaeze Thomas"]
|
||||||
date = 2021-05-01T00:00:00+02:00
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date = 2021-05-01T00:00:00+02:00
|
||||||
lastmod = 2026-09-27T20:47:14+02:00
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lastmod = 2026-10-06T13:39:39+02:00
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tags = ["hugo", "org"]
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tags = ["hugo", "org"]
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categories = ["emacs"]
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categories = ["emacs"]
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draft = false
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draft = false
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title = "Acquisition Systems"
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title = "Acquisition Systems"
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author = ["Dehaeze Thomas"]
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author = ["Dehaeze Thomas"]
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draft = false
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draft = false
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category = "equipment"
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category = "Equipment"
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title = "Active Damping"
|
title = "Active Damping"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
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draft = false
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||||||
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category = "Control Theory"
|
||||||
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subcategory = "Vibration Control"
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@@ -2,7 +2,8 @@
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|||||||
title = "Active Isolation Platforms"
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title = "Active Isolation Platforms"
|
||||||
author = ["Dehaeze Thomas"]
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author = ["Dehaeze Thomas"]
|
||||||
draft = false
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draft = false
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category = "equipment"
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category = "Equipment"
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subcategory = "Mechanical Platforms"
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@@ -2,6 +2,8 @@
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|||||||
title = "Actuator Fusion"
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title = "Actuator Fusion"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
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draft = false
|
||||||
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category = "Control Theory"
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||||||
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subcategory = "Sensor and Actuator Fusion"
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@@ -2,7 +2,8 @@
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|||||||
title = "Actuators"
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title = "Actuators"
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||||||
author = ["Dehaeze Thomas"]
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author = ["Dehaeze Thomas"]
|
||||||
draft = false
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draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
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||||||
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subcategory = "Actuators"
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|
|||||||
title = "Air Bearing"
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title = "Air Bearing"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Equipment"
|
||||||
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subcategory = "Mechanical Platforms"
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@@ -1,9 +1,9 @@
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||||||
title = "Analog to Digital Converters"
|
title = "Analog to Digital Converters"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
keywords = ["electronics"]
|
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
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subcategory = "Conversion and Acquisition"
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@@ -2,6 +2,7 @@
|
|||||||
title = "Angular Velocity"
|
title = "Angular Velocity"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
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@@ -2,6 +2,8 @@
|
|||||||
title = "Anti-Windup Control"
|
title = "Anti-Windup Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Fundamentals"
|
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@@ -2,6 +2,7 @@
|
|||||||
title = "Bipolar Transistor"
|
title = "Bipolar Transistor"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Electronics"
|
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@@ -2,6 +2,8 @@
|
|||||||
title = "Brushless DC Motor"
|
title = "Brushless DC Motor"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Equipment"
|
||||||
|
subcategory = "Actuators"
|
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@@ -2,6 +2,8 @@
|
|||||||
title = "Bumpless Transfer"
|
title = "Bumpless Transfer"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Fundamentals"
|
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@@ -2,7 +2,8 @@
|
|||||||
title = "Cables"
|
title = "Cables"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Cabling"
|
||||||
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@@ -2,7 +2,8 @@
|
|||||||
title = "Capacitive Sensors"
|
title = "Capacitive Sensors"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Sensors"
|
||||||
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@@ -2,7 +2,8 @@
|
|||||||
title = "Charge Amplifiers"
|
title = "Charge Amplifiers"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Amplifiers and Conditioning"
|
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|
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@@ -2,6 +2,8 @@
|
|||||||
title = "Collocated Control"
|
title = "Collocated Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Vibration Control"
|
||||||
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|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Communication Protocol"
|
title = "Communication Protocol"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Electronics"
|
||||||
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|
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@@ -2,6 +2,8 @@
|
|||||||
title = "Complementary Filters"
|
title = "Complementary Filters"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Sensor and Actuator Fusion"
|
||||||
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|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Connectors"
|
title = "Connectors"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Cabling"
|
||||||
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||||||
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|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Continuous Transfer Functions"
|
title = "Continuous Transfer Functions"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Cubic Architecture"
|
title = "Cubic Architecture"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
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|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Decimation"
|
title = "Decimation"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Decoupled Control"
|
title = "Decoupled Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Multivariable Analysis"
|
||||||
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|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Differential Pairs"
|
title = "Differential Pairs"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Electronics"
|
||||||
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|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Digital Filters"
|
title = "Digital Filters"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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|
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|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Digital Signal Processing"
|
title = "Digital Signal Processing"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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|
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|
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|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Digital to Analog Converters"
|
title = "Digital to Analog Converters"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Conversion and Acquisition"
|
||||||
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|
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@@ -2,6 +2,8 @@
|
|||||||
title = "Direct Velocity Feedback"
|
title = "Direct Velocity Feedback"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Vibration Control"
|
||||||
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|
||||||
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|
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|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Discrete Transfer Functions"
|
title = "Discrete Transfer Functions"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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|
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|
||||||
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|
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|
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|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Dynamic Error Budgeting"
|
title = "Dynamic Error Budgeting"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Eddy Current Damping"
|
title = "Eddy Current Damping"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Vibration Control"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Eddy Current Sensors"
|
title = "Eddy Current Sensors"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Sensors"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
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|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Electrical Impedance"
|
title = "Electrical Impedance"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Electronics"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Electromagnetism"
|
title = "Electromagnetism"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Electronic Active Filters"
|
title = "Electronic Active Filters"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Electronics"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
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|
|||||||
title = "Electronic Noise"
|
title = "Electronic Noise"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
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category = "Electronics"
|
||||||
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||||||
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||||||
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||||||
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|||||||
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|
|||||||
title = "Electronic Passive Filters"
|
title = "Electronic Passive Filters"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
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category = "Electronics"
|
||||||
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||||||
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||||||
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||||||
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|||||||
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|||||||
title = "Electronics"
|
title = "Electronics"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Electronics"
|
||||||
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||||||
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||||||
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||||||
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|||||||
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|
|||||||
title = "Encoders"
|
title = "Encoders"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Sensors"
|
||||||
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||||||
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||||||
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||||||
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|||||||
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|
|||||||
title = "EtherCAT"
|
title = "EtherCAT"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Electronics"
|
||||||
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||||||
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||||||
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||||||
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|||||||
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|
|||||||
title = "Extremum Seeking Control"
|
title = "Extremum Seeking Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Advanced Control"
|
||||||
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|
||||||
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|
||||||
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|
||||||
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|||||||
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|
|||||||
title = "Feedback Control"
|
title = "Feedback Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Fundamentals"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
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|
|||||||
title = "Feedforward Control"
|
title = "Feedforward Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Motion Control"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
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|
|||||||
title = "Finite Element Model"
|
title = "Finite Element Model"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Flexible Joints"
|
title = "Flexible Joints"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Force Sensors"
|
title = "Force Sensors"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Sensors"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Fractional Order Transfer Functions"
|
title = "Fractional Order Transfer Functions"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Granite"
|
title = "Granite"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Mechanical Platforms"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Gravity Compensation"
|
title = "Gravity Compensation"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Vibration Control"
|
||||||
+++
|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "H Infinity Control"
|
title = "H Infinity Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Advanced Control"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "HAC-HAC"
|
title = "HAC-HAC"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Vibration Control"
|
||||||
+++
|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Heat Transfer"
|
title = "Heat Transfer"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Heaters"
|
title = "Heaters"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "IcePAP"
|
title = "IcePAP"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "esrf"
|
category = "Equipment"
|
||||||
|
subcategory = "ESRF Specific"
|
||||||
+++
|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Inertial Sensors"
|
title = "Inertial Sensors"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Sensors"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Instrumented Hammer"
|
title = "Instrumented Hammer"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Sensors"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Integral Force Feedback"
|
title = "Integral Force Feedback"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Vibration Control"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Interaction Analysis"
|
title = "Interaction Analysis"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Multivariable Analysis"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Interferometers"
|
title = "Interferometers"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Sensors"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Interpolation"
|
title = "Interpolation"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "IRR and FIR Filters"
|
title = "IRR and FIR Filters"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Isotropy of Parallel Manipulator"
|
title = "Isotropy of Parallel Manipulator"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Jacobian"
|
title = "Jacobian"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Multivariable Analysis"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
@@ -10,16 +12,16 @@ Tags
|
|||||||
|
|
||||||
## Jacobian Matrices of a Parallel Manipulator {#jacobian-matrices-of-a-parallel-manipulator}
|
## Jacobian Matrices of a Parallel Manipulator {#jacobian-matrices-of-a-parallel-manipulator}
|
||||||
|
|
||||||
From (<a href="#citeproc_bib_item_1">Taghirad 2013</a>):
|
From (<a href="#citeproc_bib_item_2">Taghirad 2013</a>):
|
||||||
|
|
||||||
> The Jacobian matrix not only reveals the **relation between the joint variable velocities of a parallel manipulator to the moving platform linear and angular velocities**, it also constructs the transformation needed to find the **actuator forces from the forces and moments acting on the moving platform**.
|
> The Jacobian matrix not only reveals the **relation between the joint variable velocities of a parallel manipulator to the moving platform linear and angular velocities**, it also constructs the transformation needed to find the **actuator forces from the forces and moments acting on the moving platform**.
|
||||||
|
|
||||||
(NO_ITEM_DATA:merlet06_jacob_manip_condit_number_accur_paral_robot)
|
(<a href="#citeproc_bib_item_1">Merlet 2006</a>)
|
||||||
|
|
||||||
|
|
||||||
## Computing the Jacobian Matrix {#computing-the-jacobian-matrix}
|
## Computing the Jacobian Matrix {#computing-the-jacobian-matrix}
|
||||||
|
|
||||||
How to derive the Jacobian matrix is well explained in chapter 4 of (<a href="#citeproc_bib_item_1">Taghirad 2013</a>) ([notes]({{< relref "taghirad13_paral.md" >}})).
|
How to derive the Jacobian matrix is well explained in chapter 4 of (<a href="#citeproc_bib_item_2">Taghirad 2013</a>) ([notes]({{< relref "taghirad13_paral.md" >}})).
|
||||||
|
|
||||||
Consider parallel manipulator shown in [Figure 1](#figure--fig:jacobian-geometry) (it represents a Stewart platform).
|
Consider parallel manipulator shown in [Figure 1](#figure--fig:jacobian-geometry) (it represents a Stewart platform).
|
||||||
|
|
||||||
@@ -115,6 +117,6 @@ Note that it is here assumed that the forces are static and **along the limb axi
|
|||||||
## Bibliography {#bibliography}
|
## Bibliography {#bibliography}
|
||||||
|
|
||||||
<style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
|
<style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
|
||||||
<div class="csl-entry"><a id="citeproc_bib_item_1"></a>Taghirad, H. 2013. <i>Parallel Robots : Mechanics and Control</i>. Boca Raton, FL: CRC Press.</div>
|
<div class="csl-entry"><a id="citeproc_bib_item_1"></a>Merlet, J. P. 2006. <i>Parallel Robots</i>. 2nd ed. Springer Publishing Company, Incorporated.</div>
|
||||||
<div class="csl-entry">NO_ITEM_DATA:merlet06_jacob_manip_condit_number_accur_paral_robot</div>
|
<div class="csl-entry"><a id="citeproc_bib_item_2"></a>Taghirad, H. 2013. <i>Parallel Robots : Mechanics and Control</i>. Boca Raton, FL: CRC Press.</div>
|
||||||
</div>
|
</div>
|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Laplace Transform"
|
title = "Laplace Transform"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Linear Brushless Motor"
|
title = "Linear Brushless Motor"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Equipment"
|
||||||
|
subcategory = "Actuators"
|
||||||
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|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Linear Guides"
|
title = "Linear Guides"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Mechanical Platforms"
|
||||||
+++
|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Linear variable differential transformers"
|
title = "Linear variable differential transformers"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Sensors"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Lock-in Amplifier"
|
title = "Lock-in Amplifier"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Loop-Shaping"
|
title = "Loop-Shaping"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Fundamentals"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Mass Spring Damper Systems"
|
title = "Mass Spring Damper Systems"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Materials"
|
title = "Materials"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Matlab"
|
title = "Matlab"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Tools and Software"
|
||||||
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||||||
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||||||
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@@ -2,6 +2,7 @@
|
|||||||
title = "Metrology"
|
title = "Metrology"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Precision Engineering"
|
||||||
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||||||
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|
||||||
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|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Modal Analysis"
|
title = "Modal Analysis"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
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||||||
|
|
||||||
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|
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|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Modal Decomposition"
|
title = "Modal Decomposition"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
+++
|
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|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Model Predictive Control"
|
title = "Model Predictive Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Advanced Control"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Motion Control"
|
title = "Motion Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Motion Control"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Motor Commutation"
|
title = "Motor Commutation"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Electronics"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Motors"
|
title = "Motors"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Equipment"
|
||||||
|
subcategory = "Actuators"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Multivariable Control"
|
title = "Multivariable Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Advanced Control"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Nano Active Stabilization System"
|
title = "Nano Active Stabilization System"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Equipment"
|
||||||
|
subcategory = "ESRF Specific"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Negative Stiffness"
|
title = "Negative Stiffness"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Vibration Control"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Nonlinear Control"
|
title = "Nonlinear Control"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Advanced Control"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
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|
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|
||||||
|
|||||||
@@ -2,13 +2,13 @@
|
|||||||
title = "Systems and Signals Norms"
|
title = "Systems and Signals Norms"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Advanced Control"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
:
|
:
|
||||||
|
|
||||||
\\[ \SI{1}{\meter\per\second} \\]
|
|
||||||
|
|
||||||
Resources:
|
Resources:
|
||||||
|
|
||||||
- (NO_ITEM_DATA:skogestad05_multiv_feedb_contr)
|
- (NO_ITEM_DATA:skogestad05_multiv_feedb_contr)
|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Nyquist stability criterion"
|
title = "Nyquist stability criterion"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Fundamentals"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Operational Amplifiers"
|
title = "Operational Amplifiers"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Electronics"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
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|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Optical Fibers"
|
title = "Optical Fibers"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
|
subcategory = "Optics"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Optics"
|
title = "Optics"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
|
subcategory = "Optics"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Parallel Manipulators"
|
title = "Parallel Manipulators"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
@@ -2,6 +2,8 @@
|
|||||||
title = "Passive Damping"
|
title = "Passive Damping"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Control Theory"
|
||||||
|
subcategory = "Vibration Control"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Permanent Magnets"
|
title = "Permanent Magnets"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Mechanics and Physics"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Piezoelectric Actuators"
|
title = "Piezoelectric Actuators"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Actuators"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Position Jitter due to Asynchronous Acquisition"
|
title = "Position Jitter due to Asynchronous Acquisition"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Position Sensors"
|
title = "Position Sensors"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Sensors"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
@@ -2,7 +2,8 @@
|
|||||||
title = "Positioning Stations"
|
title = "Positioning Stations"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
category = "equipment"
|
category = "Equipment"
|
||||||
|
subcategory = "Mechanical Platforms"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
@@ -2,6 +2,7 @@
|
|||||||
title = "Power Spectral Density"
|
title = "Power Spectral Density"
|
||||||
author = ["Dehaeze Thomas"]
|
author = ["Dehaeze Thomas"]
|
||||||
draft = false
|
draft = false
|
||||||
|
category = "Signals and Systems"
|
||||||
+++
|
+++
|
||||||
|
|
||||||
Tags
|
Tags
|
||||||
|
|||||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user