Control of Switching Systems by Invariance Analysis: Applcation to Power Electronics

Author: Laurent Fribourg  

Publisher: John Wiley & Sons Inc‎

Publication year: 2013

E-ISBN: 9781118791455

P-ISBN(Hardback):  9781848216068

Subject: O231 Cybernetics of cybernetics theory (mathematics)

Language: ENG

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Description

This book presents correct-by-design control techniques for switching systems, using different methods of stability analysis. Switching systems are increasingly used in the electronics and mechanical industries; in power electronics and the automotive industry, for example. This is due to their flexibility and simplicity in accurately controlling industrial mechanisms. By adopting appropriate control rules, we can steer a switching system to a region centered at a desired equilibrium point, while avoiding “unsafe” regions of parameter saturation.
The authors explain various correct-by-design methods for control synthesis, using different methods of stability and invariance analysis. They also provide several applications of these methods to industrial examples of power electronics.

Contents

1. Control Theory: Basic Concepts.
2. Sampled Switched Systems.
3. Safety Controllers.
4. Stability Controllers.
5. Application to Multilevel Converters.
6. Other Issues: Reachability, Sensitivity, Robustness and Nonlinearity.

About the Authors

Laurent Fribourg is head of the LSV (Laboratoire Spécification et Vérification) and Scientific Coordinator of the Institut Farman, Institut Fédératif de Recherche CNRS, which brings together the expertise of five laboratories from ENS Cachan, in France, in the fields of modeling, simulation and validation of complex systems. He has published over 70 articles in international journals and reviewed proceedings of international conferences, in the domain of the theory of formal methods and their industrial applications.
Romain Soulat is in the third year of his doctorate at the LSV at ENS Cachan in France, under the supervision of Laurent Fribourg. He is working on the modeling and verification of hybrid systems. In particular, his interests concern robustness in scheduling problems – especially as part of a collaborative project with EADS Astrium on the verification of a component in the launcher for the future Ariane 6 rocket. He has published 5 articles in reviewed proceedings of international conferences.

Chapter

Cover

pp.:  1 – 1

Title Page

pp.:  1 – 5

Contents

pp.:  5 – 7

Preface

pp.:  7 – 11

Acknowledgments

pp.:  11 – 13

Introduction

pp.:  13 – 15

Chapter 2. Sampled Switched Systems

pp.:  19 – 31

Chapter 3. Safety Controllers

pp.:  31 – 43

Chapter 4. Stability Controllers

pp.:  43 – 59

Chapter 5. Application to Multilevel Converters

pp.:  59 – 79

Chapter 6. Other Issues: Reachability, Sensitivity, Robustness and Nonlinearity

pp.:  79 – 93

Conclusions and Perspectives

pp.:  93 – 107

Appendix 1. Sufficient Condition of Decomposition

pp.:  107 – 111

Appendix 2. Applications of the Enhanced Decomposition Procedure

pp.:  111 – 115

Appendix 3. Proof of Theorem 4.3

pp.:  115 – 121

Appendix 4. Example with |R*Δ| = ∞

pp.:  121 – 125

Appendix 5. Code

pp.:  125 – 127

Bibliography

pp.:  127 – 139

Index

pp.:  139 – 145

LastPages

pp.:  145 – 147

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