Details

<p>Notations vii</p> <p>Acronyms ix</p> <p>Introduction xi</p> <p><b>Chapter 1. Uncertainty Representation Based on Set Theory 1</b></p> <p>1.1. Basic set definitions: advantages and weaknesses 3</p> <p>1.1.1. Interval set 5</p> <p>1.1.2. Ellipsoidal set 7</p> <p>1.1.3. Polyhedral set 9</p> <p>1.1.4. Zonotopic set 12</p> <p>1.2. Main properties of zonotopes 17</p> <p><b>Chapter 2. Several Approaches on Zonotopic Guaranteed Set-Membership Estimation 27</b></p> <p>2.1. Context 27</p> <p>2.2. Problem formulation 32</p> <p>2.2.1. Singular Value Decomposition-based method 35</p> <p>2.2.2. Optimization-based methods 40</p> <p><b>Chapter 3. Zonotopic Guaranteed State Estimation Based on P-Radius Minimization 49</b></p> <p>3.1. Single-Output systems approach 49</p> <p>3.2. Multi-Output systems approaches 63</p> <p>3.2.1. General formulation 64</p> <p>3.2.2. Extensions of the Single-Output systems methodology 67</p> <p>3.2.3. Dedicated approach for Multi-Output systems 85</p> <p><b>Chapter 4. Tube Model Predictive Control Based on Zonotopic Set-Membership Estimation 95</b></p> <p>4.1. Context 95<br /><br />4.2. Problem formulation 100</p> <p>4.3. Tube-based output feedback Model Predictive Control design 100</p> <p>4.4. Application on the magnetic levitation system 112</p> <p>4.4.1. System description 113</p> <p>4.4.2. Control problem 116</p> <p>Conclusion and Perspectives 125</p> <p>Appendix. Basic Matrix Operation Definitions 129</p> <p>Bibliography 133</p> <p>Index 149</p>

<b>Steve Holzner</b>, PhD, is the award-winning author of 112 books, including <i>Joomla! For Dummies</i> and <i>Physics For Dummies</i>. He also teaches programming classes and has consulted for Fortune 100 companies in the area of content management. Steve has been a faculty member at Cornell University and MIT.

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