Hybrid Systems with Constraints
Published on 6. May 2013
288 pages
978-1-118-63973-3 (ISBN)
Description
Control theory is the main subject of this title, in particularanalysis and control design for hybrid dynamic systems.
The notion of hybrid systems offers a strong theoretical andunified framework to cope with the modeling, analysis and controldesign of systems where both continuous and discrete dynamicsinteract. The theory of hybrid systems has been the subject ofintensive research over the last decade and a large number ofdiverse and challenging problems have been investigated.Nevertheless, many important mathematical problems remainopen.
This book is dedicated mainly to hybrid systems with constraints;taking constraints into account in a dynamic system description hasalways been a critical issue in control. New tools are providedhere for stability analysis and control design for hybrid systemswith operating constraints and performance specifications.
Contents
1. Positive Systems: Discretization with Positivity andConstraints, Patrizio Colaneri, Marcello Farina, Stephen Kirkland,Riccardo Scattolini and Robert Shorten.
2. Advanced Lyapunov Functions for Lur'e Systems, Carlos A.Gonzaga, Marc Jungers and Jamal Daafouz.
3. Stability of Switched DAEs, Stephan Trenn.
4. Stabilization of Persistently Excited Linear Systems, YacineChitour, Guilherme Mazanti and Mario Sigalotti.
5. Hybrid Coordination of Flow Networks, Claudio De Persis, PaoloFrasca.
6. Control of Hybrid Systems: An Overview of Recent Advances,Ricardo G. Sanfelice.
7. Exponential Stability for Hybrid Systems with Saturations, MirkoFiacchini, Sophie Tarbouriech, Christophe Prieur.
8. Reference Mirroring for Control with Impacts, Fulvio Forni,Andrew R. Teel, Luca Zaccarian.
About the Authors
Jamal Daafouz is an expert in the area of switched and polytopicsystems and has published several major results in leading journals(IEEE TAC, Automatica, Systems and Control Letters, etc.). Heserves as an Associate Editor for the key journal IEEE TAC and is amember of the Editorial Board of the IEEE CSS society.
Sophie Tarbouriech is an expert in the area of nonlinear systemswith constraints and has published several major results in leadingjournals (IEEE TAC, Automatica, Systems and Control Letters, etc.)and books. She is a member of the Editorial Board of the IEEE CSSsociety and has also served as an Associate Editor for the keyjournal IEEE TAC.
Mario Sigalotti is an expert in applied mathematics and switchedsystems and has published several results in leading journals (IEEETAC, Automatica, Systems and Control Letters, etc.). He heads theINRIA team GECO and is a member of the IFAC Technical Committee onDistributed Parameter Systems.
More details
Other editions
Additional editions
Jamal Daafouz | Sophie Tarbouriech | Mario Sigalotti
Hybrid Systems with Constraints
Book
04/2013
Wiley-ISTE
€164.50
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Content
Preface xi
Chapter 1. Positive Systems: Discretization with Positivity and Constraints 1
Patrizio COLANERI, Marcello FARINA, Stephen KIRKLAND, Riccardo SCATTOLINI and Robert SHORTEN
1.1. Introduction and statement of the problem 1
1.2. Discretization of switched positive systems via Padé transformations 4
1.3. Discretization of positive switched systems with sparsity constraints 10
1.4. Conclusions 18
1.5. Bibliography 18
Chapter 2. Advanced Lyapunov Functions for Lur'e Systems 21
Carlos A. GONZAGA, Marc JUNGERS and Jamal DAAFOUZ
2.1. Introduction 21
2.2. Motivating example 24
2.3. A new Lyapunov Lur'e-type function for discrete-time Lur'e systems 26
2.4. Switched discrete-time Lur'e system with arbitrary switching law 37
2.5. Switched discrete-time Lur'e system controlled by the switching law 46
2.6. Conclusion 51
2.7. Bibliography 52
Chapter 3. Stability of Switched DAEs 57
Stephan TRENN
3.1. Introduction 57
3.2. Preliminaries 62
3.3. Stability results 71
3.4. Conclusion 81
3.5. Acknowledgments 81
3.6. Bibliography 81
Chapter 4. Stabilization of Persistently Excited Linear Systems 85
Yacine CHITOUR, Guilherme MAZANTI and Mario SIGALOTTI
4.1. Introduction 86
4.2. Finite-dimensional systems 89
4.3. Infinite-dimensional systems 101
4.4. Further discussion and open problems 110
4.5. Bibliography 118
Chapter 5. Hybrid Coordination of Flow Networks 121
Claudio De PERSIS, Paolo FRASCA
5.1. Introduction 121
5.2. Flow network model and problem statement 123
5.3. Self-triggered gossiping control of flow networks 125
5.4. Practical load balancing 127
5.5. Load balancing with delayed actuation and skewed clocks 132
5.6. Asymptotical load balancing 136
5.7. Conclusions 141
5.8. Acknowledgments 141
5.9. Bibliography 141
Chapter 6. Control of Hybrid Systems: An Overview of Recent Advances 145
Ricardo G. SANFELICE
6.1. Introduction 145
6.2. Preliminaries 149
6.3. Stabilization of hybrid systems 151
6.4. Static state feedback stabilizers 155
6.5. Passivity-based control 159
6.6. Tracking control 169
6.7. Conclusions 176
6.8. Acknowledgments 176
6.9. Bibliography 177
Chapter 7. Exponential Stability for Hybrid Systems with Saturations 179
Mirko FIACCHINI, Sophie TARBOURIECH, Christophe PRIEUR
7.1. Introduction 179
7.2. Problem statement 181
7.3. Set theory and invariance for nonlinear systems: brief overview 185
7.4. Quadratic stability for saturated hybrid systems 190
7.5. Computational issues 203
7.6. Numerical examples 205
7.7. Conclusions 207
7.8. Bibliography 208
Chapter 8. Reference Mirroring for Control with Impacts 213
Fulvio FORNI, Andrew R. TEEL, Luca ZACCARIAN
8.1. Introduction 213
8.2. Hammering a surface 216
8.3. Global tracking of a Newton's cradle 224
8.4. Global tracking in planar triangles 230
8.5. Global state estimation on n-dimensional convex polyhedra 240
8.6. Proof of the main theorems 247
8.7. Conclusions 251
8.8. Acknowledgments 252
8.9. Bibliography 252
List of Authors 257
Index 261
