作者：刘腾飞，张朋朋，（美）姜钟平
页数：264
出版社：华中科技大学出版社
出版日期：2021
ISBN：9787568061926
电子书格式：pdf/epub/txt
内容简介
This book presents a study on the novel concept of“event-triggered control of nonlinear systems subject to disturbances”, discussing the theory and practical applications. Richly illustrated, it is a valuable resource for researchers, engineers and graduate students in automation engineering who wish to learn the theories, technologies, and applications of event-triggered control of nonlinear systems.
作者简介
Zhong-Ping Jiang received the B.Sc. degree in mathematics from the University of Wuhan, Wuhan, China, in 1988, the M.Sc. degree in statistics from the University of Paris XI, France, in 1989, and the Ph.D. degree in automatic control and mathematics from the Ecole des Mines de Paris, France, in 1993. He has been a Professor of Electrical and Computer Engineering at the Polytechnic School of Engineering, New York University. His main research interest is in stability and control for interconnected nonlinear systems, with special emphasis on applications to information, mechanical and biological systems. He is the author of over 160 journal papers and numerous conference papers in these areas. He has written two books: Stability and Stabilization of Nonlinear Systems (with Dr. I. Karafyllis, Springer, 2011) and Nonlinear Control of Dynamic Networks (with Drs. T. Liu and D.J. Hill, CRC Press, Taylor & Francis, 2014). Dr. Jiang is a Deputy co-Editor in-Chief of the Journal of Control and Decision, an Editor for the International Journal of Robust and Nonlinear Control and has served as an Associate Editor for several journals including Mathematics of Control, Signals and Systems (MCSS), Systems & Control Letters, IEEE Transactions on Automatic Control, European Journal of Control, and Science China: Information Sciences. He is a recipient of the prestigious Queen Elizabeth II Fellowship Award from the Australian Research Council, the CAREER Award from the US National Science Foundation, and the Distinguished Overseas Chinese Scholar Award from the NSF of China. Recent awards recognizing his research work include the Best Theory Paper Award (with Y. Wang) at the 2008 WCICA, and the Guan Zhao Zhi Best Paper Award (with T. Liu and D.J. Hill) at the 2011 CCC, and the Shimemura Young Author Prize (with his student Yu Jiang) at the 2013 Asian Control Conference in Istanbul, Turkey. Prof. Jiang is a Fellow of the IEEE and a Fellow of the IFAC.
目录
1 Introduction
1.1 Event-Triggered Control Challenges for Nonlinear Systems
1.2 An Overview of This Book
2 Basic Stability and Small-Gain Tools for System Synthesis
2.1 Lyapunov Stability
2.2 Input-to-State Stability
2.2.1 Definition
2.2.2 ISS-Lyapunov Functions
2.3 Nonlinear Small-Gain Theorem
2.3.1 Trajectory-Based Small-Gain Theorem
2.3.2 Lyapunov-Based Small-Gain Theorem
2.4 Nonlinear Cyclic-Small-Gain Theorem
2.4.1 Continuous-Time Systems
2.4.2 Equivalence Between Cyclic-Small-Gain and Gains Less
Than the Identity
2.5 Notes
Part II Robust Event Triggers
3 A Small-Gain Paradigm for Event-Triggered Control
3.1 Problem Formulation
3.2 Lyapunov-Based Small-Gain Design of Event Triggers
3.3 Trajectory-Based Small-Gain Design of Event Triggers
3.4 Event/Self-Triggered Control in the Presence of External Disturb
ances
3.4.1 Event Triggers with Positive Offsets
3.4.2 Self-Triggered Control
3.4.3 Trajectory-Based Formulation
3.5 Input-to-State Stabilization of Discrete-Time
Nonlinear Systems
3.5.1 Problem Formulation
3.5.2 Event-Triggered Robust Stabilization
3.6 Notes
4 Dynamic Event Triggers
4.1 Dynamic Event Triggers with Partial-State Feedback
4.1.1 Problem Formulation
4.1.2 Design of a Dynamic Event Trigger
4.1.3 An Extension
4.2 An Application to Decentralized Event-Triggered Control
4.2.1 Problem Formulation
4.2.2 Design of Decentralized Event-Triggers
4.2.3 An Example: Decentralized Event-Triggered Control of a
Class of First-Order Nonlinear Systems
4.2.4 The Linear Case
4.3 Notes
5 Event-Triggered Input-to-State Stabilization
Robust Event-Triggered Control of Nonlinear Systems under a
5.1 Global Sector-Bound Condition
5.2 Robust Event-Triggered Control of Nonlinear Systems without a
Global Sector-Bound Condition
5.3 Robustness Analysis in the Presence of
Dynamic Uncertainties
5.3.1 Event Trigger Design
5.3.2 Small-Gain Synthesis: ISS of the Closed-Loop
Event-Triggered System
5.3.3 A Special Case for Systems Under a Global Sector-Bound
Condition
5.4 An Extension to Systems Subject to Both Dynamic Uncertainties
and External Disturbances
5.5 Notes
Part III Constructive Designs for Event-Triggered Control
6 Event-Triggered Control of Nonlinear Uncertain Systems in the Lower-Tri
angular Form
6.1 Event-Triggered State-Feedback Control
6.1.1 Problem Formulation
6.1.2 Controller Design
6.1.3 Small-Gain Synthesis
6.2 Event-Triggered Control of Nonlinear Time-Delay Systems
6.2.1 Problem Formulation
6.2.2 Constructive Control Design with Set-Valued Maps
6.2.3 Main Result of Event-Triggered Stabilization
6.2.4 Extension to Systems with Distributed Time-Delays
6.3 Event-Triggered Output-Feedback Control
6.3.1 Problem Formulation
6.3.2 Observer-Based Output-Feedback Controller
6.3.3 ISS Property of the Subsystems
6.3.4 Event-Triggered Output-Feedback Control
6.4 Notes
7 Event-Triggered Control of Nonholonomic Svstems
7.1 Event-Triggered State Feedback Control of Uncertain Nonholo
nomic Systems
7.1.1 Problem Formulation
7.1.2 Event-Triggered State-Feedback Controller
7.1.3 Main Result
7.1.4 A Brief Discussion on x (t)=0
7.2 Event-Triggered Output Feedback Control of Uncertain Nonholo
nomic Systems
7.2.1 Problem Formulation
7.2.2 Event-Triggered Output-Feedback Controller
7.2.3 Main Result
7.3 Notes
Appendix A Notions
A.1 Lipschitz Continuity
A.2 Comparison Functions
A.3 Related Notions in Graph Theory
Appendix B Technical Lemmas
Appendix C Gain Assignment
Appendix D Proofs
D.1 Proof of Theorem 2.6
D.2 Proof of Theorem 2.8
D.3 More Remarks about Example 4.2
D.4 Proof of Lemma 4.1
D.5 Proof of Lemma 4.2
D.6 Proof of Lemma 6.1
D.7 Proof of Proposition 6.1
D.8 Proof of Proposition 6.2
D.9 Proof of Proposition 7.2
D.10 Proof of Proposition 7.3
D.11 Proof of Proposition 7.4
D.12 Proof of Proposition 7.5
D.13 Proof of Proposition 7.9
References
Index
