Hybrid systems with constraints / / edited by Jamal Daafouz, Sophie Tarbouriech, Mario Sigalotti

• Record Nr.: UNINA9910817534403321
• Pubbl/distr/stampa: Hoboken, N.J., : ISTE Ltd/John Wiley and Sons Inc., 2013
• ISBN: 1-118-63991-X; 1-118-63985-5; 1-118-63973-1
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (277 p.)
• Collana: Automation-control and industrial engineering series
• Disciplina: 621
• Soggetti: Hybrid systems; Control theory
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: CONTENTS; Preface; Chapter 1. Positive Systems: Discretization with Positivityand Constraints; 1.1. Introduction and statement of the problem; 1.2. Discretization of switched positive systemsvia Padé transformations; 1.3. Discretization of positive switched systemswith sparsity constraints; 1.4. Conclusions; 1.5. Bibliography; Chapter 2. Advanced Lyapunov Functions for Lur'e Systems; 2.1. Introduction; 2.2. Motivating example; 2.3. A new Lyapunov Lur'e-type function for discrete-timeLur'e systems; 2.4. Switched discrete-time Lur'e system with arbitraryswitching law; 2.5. Switched discrete-time Lur'e system controlledby the switching law2.6. Conclusion; 2.7. Bibliography; Chapter 3. Stability of Switched DAEs; 3.1. Introduction; 3.2. Preliminaries; 3.3. Stability results; 3.4. Conclusion; 3.5. Acknowledgments; 3.6. Bibliography; Chapter 4. Stabilization of Persistently Excited Linear Systems; 4.1. Introduction; 4.2. Finite-dimensional systems; 4.3. Infinite-dimensional systems; 4.4. Further discussion and open problems; 4.5. Bibliography; Chapter 5. Hybrid Coordination of Flow Networks; 5.1. Introduction; 5.2. Flow network model and problem statement; 5.3. Self-triggered gossiping control of flow networks5.4. Practical load balancing; 5.5. Load balancing with delayed actuation and skewed clocks; 5.6. Asymptotical load balancing; 5.7. Conclusions; 5.8. ; Acknowledgments; 5.9. Bibliography; Chapter 6. Control of Hybrid Systems: An Overviewof Recent Advances; 6.1. Introduction; 6.2. Preliminaries; 6.3. Stabilization of hybrid systems; 6.4. Static state feedback stabilizers; 6.5. Passivity-based control; 6.6. Tracking control; 6.7. Conclusions; 6.8. Acknowledgments; 6.9. Bibliography; Chapter 7. Exponential Stability for Hybrid Systemswith Saturations7.1. Introduction; 7.2. Problem statement; 7.3. Set theory and invariance for nonlinear systems:brief overview; 7.4. Quadratic stability for saturated hybrid systems; 7.5. Computational issues; 7.6. Numerical examples; 7.7. Conclusions; 7.8. Bibliography; Chapter 8. Reference Mirroring for Control with Impacts; 8.1. Introduction; 8.2. Hammering a surface; 8.3. Global tracking of a Newton's cradle; 8.4. Global tracking in planar triangles; 8.5. Global state estimation on n-dimensional convex polyhedra; 8.6. Proof of the main theorems8.7. Conclusions; 8.8. Acknowledgments; 8.9. Bibliography; List of Authors; Index
• Sommario/riassunto: Control theory is the main subject of this title, in particular analysis and control design for hybrid dynamic systems.The notion of hybrid systems offers a strong theoretical and unified framework to cope with the modeling, analysis and control design of systems where both continuous and discrete dynamics interact. The theory of hybrid systems has been the subject of intensive research over the last decade and a large number of diverse and challenging problems have been investigated. Nevertheless, many important mathematical problems remain open.This book is dedicated mainly to