Control Synthesis for Semi-Markovian Switching Systems

Description

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. 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