Control Synthesis for Semi-Markovian Switching Systems

✍ Scribed by Wenhai Qi, Guangdeng Zong

• Publisher: Springer
• Year: 2023
• Tongue: English
• Leaves: 227
• Series: Studies in Systems, Decision and Control, 465
• Category: Library

✦ Synopsis

The book focuses on control synthesis for semi-Markovian switching systems. By using multiple semi-Markovian Lyapunov function approaches, a basic theoretical framework is formed toward the issue of control synthesis for semi-Markovian switching systems. This is achieved by providing an in-depth study on several major topics such as sliding mode control, finite-time control, quantized control, event-triggered control, synchronization, and fuzzy control for semi-Markovian switching systems. The comprehensive and systematic treatment of semi-Markovian switching systems is one of the major features of the book, which is particularly suitable for readers who are interested to learn control theory and engineering. By reading this book, the reader can obtain the most advanced analysis and design techniques for stochastic switching systems.

✦ Table of Contents

Preface
Acknowledgements
Contents
Symbols
1 Introduction
1.1 Background
1.2 Stability Analysis for S-MSSs
1.2.1 Stability for Stochastic S-MSSs
1.2.2 Stability for Continuous-Time Linear S-MSSs
1.2.3 Stability for Discrete-Time Linear S-MSSs
1.3 Control Synthesis for S-MSSs
1.3.1 Control and Filtering for S-MSSs
1.3.2 Sliding Mode Control for S-MSSs
1.3.3 Finite-Time Control for S-MSSs
1.3.4 Event-Triggered Control for S-MSSs
1.4 Organization of the Book
References
2 Quantized Sliding Mode Control
2.1 Introduction
2.2 Problem Statements and Preliminaries
2.3 Stochastic Stability Analysis
2.4 Reachability Analysis
2.5 Simulation
2.6 Conclusion
References
3 Sliding Mode Control Under Stochastic Disturbance
3.1 Introduction
3.2 Problem Statements and Preliminaries
3.3 Sliding Mode Control Law Design
3.4 Stochastic Stability Analysis
3.5 Reachability Analysis
3.6 Simulation
3.7 Conclusion
References
4 Sliding Mode Control Under Stochastic Disturbance and Singularity
4.1 Introduction
4.2 Problem Statements and Preliminaries
4.3 Sliding Mode Control Law Design
4.4 Stochastic Admissibility Analysis
4.5 Reachability Analysis
4.6 Simulation
4.7 Conclusion
References
5 Finite-Time Sliding Mode Control Under Quantization
5.1 Introduction
5.2 Problem Statements and Preliminaries
5.3 Sliding Mode Control Law Design
5.4 Finite-Time Boundedness Analysis over Reaching Phase Within left bracket 0 comma upper T Superscript asterisk Baseline right bracket[0,T]
5.5 Finite-Time Boundedness Analysis over Sliding Motion Phase Within left bracket upper T Superscript asterisk Baseline comma upper T right bracket[T,T]
5.6 Gain Matrix Design
5.7 Simulation
5.8 Conclusion
References
6 Adaptive Event-Triggered Sliding Mode Control
6.1 Introduction
6.2 Problem Statements and Preliminaries
6.3 Stochastic Stability Analysis
6.4 Reachability Analysis
6.5 Simulation
6.6 Conclusion
References
7 Finite-Time Synchronization
7.1 Introduction
7.2 Problem Statements and Preliminaries
7.3 Finite-Time Synchronization
7.4 Simulation
7.5 Conclusion
References
8 Fuzzy Sliding Mode Control
8.1 Introduction
8.2 Problem Statements and Preliminaries
8.3 Sliding Surface Design
8.4 Stochastic Stability Analysis
8.5 Reachability Analysis
8.6 Simulation
8.7 Conclusion
References
9 Fuzzy upper H Subscript normal infinityHinfty Sliding Mode Control Under Phase-Type Distribution
9.1 Introduction
9.2 Problem Statements and Preliminaries
9.3 Sliding Mode Control Law Design
9.4 Stochastic Stability with upper H Subscript normal infinityHinfty Performance Index
9.5 Simulation
9.6 Conclusion
References
10 Sliding Mode Control Under Denial-of-Service Attacks
10.1 Introduction
10.2 Problem Statements and Preliminaries
10.3 Sliding Surface Design
10.4 sigmaσ-Error Mean Square Stability Analysis
10.5 Reachability Analysis
10.6 Simulation
10.7 Conclusion
References
11 Sliding Mode Control Under Deception Attacks
11.1 Introduction
11.2 Problem Statements and Preliminaries
11.3 Stochastic Stability Analysis
11.4 Reachability Analysis
11.5 Simulation
11.6 Conclusion
References
12 Conclusion and Future Research Direction
12.1 Conclusion
12.2 Future Research Direction