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## 9.2.3 Roll-Off Filters {#9-dot-2-dot-3-roll-off-filters} ## 9.2.3 Roll-Off Filters {#9-dot-2-dot-3-roll-off-filters}
[Spillover Effect]({{< relref "spillover_effect.md" >}}) Spillover Effect
> 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**.
> 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. > 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
<a id="table--tab:mcinroy99-strut-model"></a> <a id="table--tab:mcinroy99-strut-model"></a>
<div class="table-caption"> <div class="table-caption">
<span class="table-number"><a href="#table--tab:mcinroy99-strut-model">Table 1</a>:</span> <span class="table-number"><a href="#table--tab:mcinroy99-strut-model">Table 1</a>:</span>
Definition of quantities on <a href="#orgef559a8">2</a> Definition of quantities on <a href="#orgcbfa359">2</a>
</div> </div>
| **Symbol** | **Meaning** | | **Symbol** | **Meaning** |
@@ -619,7 +619,7 @@ The core of the control system is the _plant_, which is the physical system that
<a id="table--tab:walk-control-loop"></a> <a id="table--tab:walk-control-loop"></a>
<div class="table-caption"> <div class="table-caption">
<span class="table-number"><a href="#table--tab:walk-control-loop">Table 3</a>:</span> <span class="table-number"><a href="#table--tab:walk-control-loop">Table 3</a>:</span>
Symbols used in <a href="#org8840e97">3</a> Symbols used in <a href="#orgf3a5f79">3</a>
</div> </div>
| Symbol | Meaning | Unit | | Symbol | Meaning | Unit |
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title = "Second Blog Post" title = "Second Blog Post"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
date = 2021-05-01T00:00:00+02:00 date = 2021-05-01T00:00:00+02:00
lastmod = 2026-09-27T20:47:14+02:00 lastmod = 2026-10-06T13:39:39+02:00
tags = ["hugo", "org"] tags = ["hugo", "org"]
categories = ["emacs"] categories = ["emacs"]
draft = false draft = false
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title = "Acquisition Systems" title = "Acquisition Systems"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "equipment" category = "Equipment"
subcategory = "Conversion and Acquisition"
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title = "Active Damping" title = "Active Damping"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Control Theory"
subcategory = "Vibration Control"
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@@ -2,7 +2,8 @@
title = "Active Isolation Platforms" title = "Active Isolation Platforms"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "equipment" category = "Equipment"
subcategory = "Mechanical Platforms"
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title = "Actuator Fusion" title = "Actuator Fusion"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Control Theory"
subcategory = "Sensor and Actuator Fusion"
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title = "Actuators" title = "Actuators"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "equipment" category = "Equipment"
subcategory = "Actuators"
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title = "Air Bearing" title = "Air Bearing"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Equipment"
subcategory = "Mechanical Platforms"
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@@ -1,9 +1,9 @@
+++ +++
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"
subcategory = "Conversion and Acquisition"
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title = "Angular Velocity" title = "Angular Velocity"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Mechanics and Physics"
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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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title = "Bipolar Transistor" title = "Bipolar Transistor"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Electronics"
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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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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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title = "Cables" title = "Cables"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "equipment" category = "Equipment"
subcategory = "Cabling"
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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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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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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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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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title = "Connectors" title = "Connectors"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "equipment" category = "Equipment"
subcategory = "Cabling"
+++ +++
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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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title = "Cubic Architecture" title = "Cubic Architecture"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Mechanics and Physics"
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title = "Decimation" title = "Decimation"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Signals and Systems"
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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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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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@@ -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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@@ -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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@@ -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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@@ -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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@@ -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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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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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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@@ -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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@@ -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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@@ -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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title = "Electronic Noise" title = "Electronic Noise"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Electronics"
+++ +++
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@@ -2,6 +2,7 @@
title = "Electronic Passive Filters" title = "Electronic Passive Filters"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Electronics"
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@@ -2,6 +2,7 @@
title = "Electronics" title = "Electronics"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Electronics"
+++ +++
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+2 -1
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@@ -2,7 +2,8 @@
title = "Encoders" title = "Encoders"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "equipment" category = "Equipment"
subcategory = "Sensors"
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@@ -2,6 +2,7 @@
title = "EtherCAT" title = "EtherCAT"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Electronics"
+++ +++
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@@ -2,6 +2,8 @@
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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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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@@ -2,6 +2,8 @@
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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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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@@ -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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+2 -1
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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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@@ -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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+2 -1
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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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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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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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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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title = "Heat Transfer" title = "Heat Transfer"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Mechanics and Physics"
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title = "Heaters" title = "Heaters"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Mechanics and Physics"
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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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@@ -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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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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@@ -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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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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title = "Interferometers" title = "Interferometers"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "equipment" category = "Equipment"
subcategory = "Sensors"
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title = "Interpolation" title = "Interpolation"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Signals and Systems"
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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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@@ -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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title = "Jacobian" title = "Jacobian"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Control Theory"
subcategory = "Multivariable Analysis"
+++ +++
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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>
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title = "Laplace Transform" title = "Laplace Transform"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Signals and Systems"
+++ +++
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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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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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@@ -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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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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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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@@ -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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+1
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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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+1
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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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+1
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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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+1
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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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+1
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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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@@ -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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+2
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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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+1
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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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+2
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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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+2
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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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@@ -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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+2
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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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+2
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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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+2 -2
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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"
+++ +++
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: :
\\[ \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"
+++ +++
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@@ -2,6 +2,7 @@
title = "Operational Amplifiers" title = "Operational Amplifiers"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Electronics"
+++ +++
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+2
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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"
+++ +++
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+2
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@@ -2,6 +2,8 @@
title = "Optics" title = "Optics"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Mechanics and Physics"
subcategory = "Optics"
+++ +++
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+1
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@@ -2,6 +2,7 @@
title = "Parallel Manipulators" title = "Parallel Manipulators"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Mechanics and Physics"
+++ +++
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+2
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@@ -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"
+++ +++
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+1
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@@ -2,6 +2,7 @@
title = "Permanent Magnets" title = "Permanent Magnets"
author = ["Dehaeze Thomas"] author = ["Dehaeze Thomas"]
draft = false draft = false
category = "Mechanics and Physics"
+++ +++
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+2 -1
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@@ -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"
+++ +++
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@@ -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"
+++ +++
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+2 -1
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@@ -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"
+++ +++
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+2 -1
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@@ -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"
+++ +++
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@@ -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"
+++ +++
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