Event-Triggered Control of Switched Linear Systems (Studies in Systems, Decision and Control, 365)

✍ Scribed by Jun Fu, Tai-Fang Li

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 173
• Category: Library

✦ Synopsis

This book approaches its subject matter in a way that provides Lyapunov function analysis and event-triggered design methods for switched dynamic systems in terms of sampled-data control, hysteresis switching control, and fault-tolerant control.

This book presents several novel design methods on event-triggered control of switched linear systems, in which the events inclusively consist of not only switching itself but events occurring as the switched systems evolve. The features of our approaches lie in threefold: i) In the framework of sampled-data control, a bond between the sampling period and the average dwell time of the asynchronous switched linear neutral systems is revealed, with which stabilization conditions are derived for periodic sampling and event-triggered sampling mechanisms, respectively. ii) New event-triggered control strategies are proposed for switched linear systems and switched delay systems including switched neutral systems. The Zeno phenomenon canbe excluded easily since the constant threshold can guarantee the existence of minimum positive lower bound between two continuous sampling intervals. iii). Two new fault-tolerant control methods are presented for switched cascade systems, with structural uncertainties existing in both system matrices and input matrices of the linear subsystems, by using the average dwell-time techniques. The proposed control design works on both the switched systems with actuator faults and its nominal systems (i.e., without actuator faults) without necessarily changing any structures and/or parameters of the proposed controllers. This book presents several systematical analysis and design methods for event-triggered control of switched systems in terms of the Lyapunov-based stability. It is of great significance to theoretical research and practical applications for switched systems.

The book provides a unified framework of sampled-data control, including periodic sampled-data control and event-triggered control, and fault-tolerant control of switched systems. It serves as a useful book for researchers and graduate students who are interested in knowing the state of the art of analysis and synthesis of switched systems. In addition, it is also a useful source of up-to-date design methods for researchers who study switched dynamic systems and graduate students of control theory and control engineering.

✦ Table of Contents

Preface
Acknowledgements
Contents
Notations and Acronyms
List of Figures
1 Introduction
1.1 Switched System
1.1.1 Switched Linear/Nonlinear System
1.1.2 Switched Delay/Neutral System
1.2 Stability and Stabilization
1.3 Sampled-Data Control
1.3.1 Periodic Sampled-Data Control
1.3.2 Event-Triggered Sampled-Data Control
1.4 Reliable and Fault-Tolerant Control
1.5 Outline of the Book
2 Observer-Based Event-Triggered Control for Switched Linear Systems
2.1 Introduction
2.2 Problem Statement and Preliminaries
2.3 Main Results
2.3.1 Observer Design
2.3.2 Sampling Mechanism
2.3.3 Stability Analysis
2.3.4 Control Design
2.4 Illustrative Example
2.5 Conclusion
3 Improved Event-Triggered Control for Switched Linear Systems
3.1 Introduction
3.2 Problem Statement and Preliminaries
3.3 State-Based Event-Triggered Control
3.3.1 Sampling Mechanism
3.3.2 Stability Analysis
3.4 Observer-Based Event-Triggered Control
3.4.1 Observer Design
3.4.2 Sampling Mechanism
3.4.3 Stability Analysis
3.5 Minimum Inter-Event Interval
3.6 Illustrative Example
3.7 Conclusion
4 Event-Triggered Control for Switched Linear Delay Systems
4.1 Introduction
4.2 Problem Statement and Preliminaries
4.3 State-Based Event-Triggered Control
4.3.1 Sampling Mechanism
4.3.2 Stability Analysis
4.3.3 Control Design
4.4 Observer-Based Event-Triggered Control
4.4.1 Observer Design
4.4.2 Sampling Mechanism
4.4.3 Stability Analysis
4.5 Illustrative Example
4.6 Conclusion
5 Event-Triggered Control of Switched Linear Neutral Systems
5.1 Introduction
5.2 Problem Statement and Preliminaries
5.2.1 Switched Linear Neutral System
5.2.2 Observer Design
5.2.3 Event-Triggered Sampling Mechanism
5.3 Main Results
5.3.1 Stability Analysis
5.3.2 Minimum Inter-Event Interval
5.4 Illustrative Example
5.5 Conclusion
6 Periodic Sampled-Data Control for Switched Linear Neutral Systems
6.1 Introduction
6.2 Problem Statement and Preliminaries
6.3 Main Results
6.3.1 Sampling Interval with No Switch
6.3.2 Sampling Interval with One Switch
6.3.3 Stability Analysis
6.4 Illustrative Example
6.5 Conclusion
7 Hysteresis Switching Control for Switched Linear Neutral Systems
7.1 Introduction
7.2 System Description and Preliminaries
7.3 Main Result
7.4 Illustrative Example
7.5 Conclusion
8 Reliable Control for a Class of Switched Nonlinear Systems
8.1 Introduction
8.2 Problem Statement and Preliminaries
8.3 Control Design
8.4 Illustrative Example
8.5 Conclusion
9 Fault-Tolerant Control for a Class of Uncertain Switched Nonlinear Systems
9.1 Introduction
9.2 Problem Statement and Preliminaries
9.3 Stabilization
9.4 Application
9.4.1 Description of the Haptic Display System
9.4.2 Formulated Problem
9.4.3 Simulation and Analysis
9.5 Conclusion
10 Conclusions
Appendix References