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title = "Acquisition Systems"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Conversion and Acquisition"
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title = "Active Damping"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Vibration Control"
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title = "Active Isolation Platforms"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Mechanical Platforms"
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title = "Actuator Fusion"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Sensor and Actuator Fusion"
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title = "Actuators"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Actuators"
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title = "Air Bearing"
author = ["Dehaeze Thomas"]
draft = false
category = "Equipment"
subcategory = "Mechanical Platforms"
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title = "Analog to Digital Converters"
author = ["Dehaeze Thomas"]
keywords = ["electronics"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Conversion and Acquisition"
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title = "Angular Velocity"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Anti-Windup Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Fundamentals"
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title = "Bipolar Transistor"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Brushless DC Motor"
author = ["Dehaeze Thomas"]
draft = false
category = "Equipment"
subcategory = "Actuators"
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title = "Bumpless Transfer"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Fundamentals"
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title = "Cables"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Cabling"
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title = "Capacitive Sensors"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Sensors"
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title = "Charge Amplifiers"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Amplifiers and Conditioning"
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title = "Collocated Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Vibration Control"
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title = "Communication Protocol"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Complementary Filters"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Sensor and Actuator Fusion"
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title = "Connectors"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Cabling"
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title = "Continuous Transfer Functions"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Cubic Architecture"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Decimation"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Decoupled Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Multivariable Analysis"
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title = "Differential Pairs"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Digital Filters"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Digital Signal Processing"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Digital to Analog Converters"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Conversion and Acquisition"
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title = "Direct Velocity Feedback"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Vibration Control"
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title = "Discrete Transfer Functions"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Dynamic Error Budgeting"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Eddy Current Damping"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Vibration Control"
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title = "Eddy Current Sensors"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Sensors"
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title = "Electrical Impedance"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Electromagnetism"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Electronic Active Filters"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Electronic Noise"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Electronic Passive Filters"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Electronics"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Encoders"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Sensors"
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title = "EtherCAT"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Extremum Seeking Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Advanced Control"
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title = "Feedback Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Fundamentals"
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title = "Feedforward Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Motion Control"
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title = "Finite Element Model"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Flexible Joints"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Force Sensors"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Sensors"
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title = "Fractional Order Transfer Functions"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Granite"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Mechanical Platforms"
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title = "Gravity Compensation"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Vibration Control"
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title = "H Infinity Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Advanced Control"
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title = "HAC-HAC"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Vibration Control"
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title = "Heat Transfer"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Heaters"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "IcePAP"
author = ["Dehaeze Thomas"]
draft = false
category = "esrf"
category = "Equipment"
subcategory = "ESRF Specific"
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title = "Inertial Sensors"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Sensors"
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title = "Instrumented Hammer"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Sensors"
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title = "Integral Force Feedback"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Vibration Control"
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title = "Interaction Analysis"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Multivariable Analysis"
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title = "Interferometers"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Sensors"
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title = "Interpolation"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "IRR and FIR Filters"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Isotropy of Parallel Manipulator"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Jacobian"
author = ["Dehaeze Thomas"]
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}
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**.
(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}
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).
@@ -115,6 +117,6 @@ Note that it is here assumed that the forces are static and **along the limb axi
## Bibliography {#bibliography}
<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">NO_ITEM_DATA:merlet06_jacob_manip_condit_number_accur_paral_robot</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"><a id="citeproc_bib_item_2"></a>Taghirad, H. 2013. <i>Parallel Robots : Mechanics and Control</i>. Boca Raton, FL: CRC Press.</div>
</div>
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title = "Laplace Transform"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Linear Brushless Motor"
author = ["Dehaeze Thomas"]
draft = false
category = "Equipment"
subcategory = "Actuators"
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title = "Linear Guides"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Mechanical Platforms"
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title = "Linear variable differential transformers"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Sensors"
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title = "Lock-in Amplifier"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Loop-Shaping"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Fundamentals"
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title = "Mass Spring Damper Systems"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Materials"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Matlab"
author = ["Dehaeze Thomas"]
draft = false
category = "Tools and Software"
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title = "Metrology"
author = ["Dehaeze Thomas"]
draft = false
category = "Precision Engineering"
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title = "Modal Analysis"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Modal Decomposition"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Model Predictive Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Advanced Control"
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title = "Motion Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Motion Control"
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title = "Motor Commutation"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Motors"
author = ["Dehaeze Thomas"]
draft = false
category = "Equipment"
subcategory = "Actuators"
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title = "Multivariable Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Advanced Control"
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title = "Nano Active Stabilization System"
author = ["Dehaeze Thomas"]
draft = false
category = "Equipment"
subcategory = "ESRF Specific"
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title = "Negative Stiffness"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Vibration Control"
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title = "Nonlinear Control"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Advanced Control"
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title = "Systems and Signals Norms"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Advanced Control"
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:
\\[ \SI{1}{\meter\per\second} \\]
Resources:
- (NO_ITEM_DATA:skogestad05_multiv_feedb_contr)
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title = "Nyquist stability criterion"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Fundamentals"
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title = "Operational Amplifiers"
author = ["Dehaeze Thomas"]
draft = false
category = "Electronics"
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title = "Optical Fibers"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
subcategory = "Optics"
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title = "Optics"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
subcategory = "Optics"
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title = "Parallel Manipulators"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Passive Damping"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Vibration Control"
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title = "Permanent Magnets"
author = ["Dehaeze Thomas"]
draft = false
category = "Mechanics and Physics"
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title = "Piezoelectric Actuators"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Actuators"
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title = "Position Jitter due to Asynchronous Acquisition"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Position Sensors"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Sensors"
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title = "Positioning Stations"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Mechanical Platforms"
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title = "Power Spectral Density"
author = ["Dehaeze Thomas"]
draft = false
category = "Signals and Systems"
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title = "Precision Engineering"
author = ["Dehaeze Thomas"]
draft = false
category = "Precision Engineering"
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title = "Quadrant Photodiodes"
author = ["Dehaeze Thomas"]
draft = false
category = "equipment"
category = "Equipment"
subcategory = "Sensors"
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title = "Reference Books"
author = ["Dehaeze Thomas"]
draft = false
category = "Resources"
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@@ -10,16 +11,16 @@ Tags
## Here are my favorite books {#here-are-my-favorite-books}
(<a href="#citeproc_bib_item_8">Steinbuch and Oomen 2016</a>)
(<a href="#citeproc_bib_item_9">Taghirad 2013</a>)
(<a href="#citeproc_bib_item_5">Lurie 2012</a>)
(NO_ITEM_DATA:skogestad05_multiv_feedb_contr)
(<a href="#citeproc_bib_item_7">Schmidt, Schitter, and Rankers 2014</a>)
(<a href="#citeproc_bib_item_6">Preumont 2018</a>)
(<a href="#citeproc_bib_item_3">Leach 2014</a>)
(<a href="#citeproc_bib_item_1">Ewins 2000</a>)
(<a href="#citeproc_bib_item_4">Leach and Smith 2018</a>)
(<a href="#citeproc_bib_item_2">Horowitz 2015</a>)
- (<a href="#citeproc_bib_item_9">Steinbuch and Oomen 2016</a>)
- (<a href="#citeproc_bib_item_10">Taghirad 2013</a>)
- (<a href="#citeproc_bib_item_5">Lurie 2012</a>)
- (<a href="#citeproc_bib_item_8">Skogestad and Postlethwaite 2007</a>)
- (<a href="#citeproc_bib_item_7">Schmidt, Schitter, and Rankers 2014</a>)
- (<a href="#citeproc_bib_item_6">Preumont 2018</a>)
- (<a href="#citeproc_bib_item_3">Leach 2014</a>)
- (<a href="#citeproc_bib_item_1">Ewins 2000</a>)
- (<a href="#citeproc_bib_item_4">Leach and Smith 2018</a>)
- (<a href="#citeproc_bib_item_2">Horowitz 2015</a>)
## Bibliography {#bibliography}
@@ -32,7 +33,7 @@ Tags
<div class="csl-entry"><a id="citeproc_bib_item_5"></a>Lurie, B. J. 2012. <i>Classical Feedback Control : with MATLAB and Simulink</i>. Boca Raton, FL: CRC Press.</div>
<div class="csl-entry"><a id="citeproc_bib_item_6"></a>Preumont, A. 2018. <i>Vibration Control of Active Structures - Fourth Edition</i>. Solid Mechanics and Its Applications. Springer International Publishing. doi:<a href="https://doi.org/10.1007/978-3-319-72296-2">10.1007/978-3-319-72296-2</a>.</div>
<div class="csl-entry"><a id="citeproc_bib_item_7"></a>Schmidt, R Munnig, Georg Schitter, and Adrian Rankers. 2014. <i>The Design of High Performance Mechatronics - 2nd Revised Edition</i>. Ios Press.</div>
<div class="csl-entry"><a id="citeproc_bib_item_8"></a>Steinbuch, Maarten, and Tom Oomen. 2016. “Model-Based Control for High-Tech Mechatronics Systems.” CRC Press/Taylor &#38; Francis.</div>
<div class="csl-entry"><a id="citeproc_bib_item_9"></a>Taghirad, H. 2013. <i>Parallel Robots : Mechanics and Control</i>. Boca Raton, FL: CRC Press.</div>
<div class="csl-entry">NO_ITEM_DATA:skogestad05_multiv_feedb_contr</div>
<div class="csl-entry"><a id="citeproc_bib_item_8"></a>Skogestad, S., and I. Postlethwaite. 2007. <i>Multivariable Feedback Control: Analysis and Design - Second Edition</i>. John Wiley.</div>
<div class="csl-entry"><a id="citeproc_bib_item_9"></a>Steinbuch, Maarten, and Tom Oomen. 2016. “Model-Based Control for High-Tech Mechatronics Systems.” CRC Press/Taylor &#38; Francis.</div>
<div class="csl-entry"><a id="citeproc_bib_item_10"></a>Taghirad, H. 2013. <i>Parallel Robots : Mechanics and Control</i>. Boca Raton, FL: CRC Press.</div>
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title = "Reference Tracking"
author = ["Dehaeze Thomas"]
draft = false
category = "Control Theory"
subcategory = "Motion Control"
+++
Tags

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