Sliding Mode Control of Semi-Markovian Jump Systems

✍ Scribed by Baoping Jiang, Hamid Reza Karimi

• Publisher: CRC Press
• Year: 2021
• Tongue: English
• Leaves: 175
• Edition: 1
• Category: Library

✦ Synopsis

This book presents analysis and design for a class of stochastic systems with semi-Markovian jump parameters. It explores systematic analysis of semi-Markovian jump systems via sliding mode control strategy which makes up the shortages in the analysis and design of stochastic systems. This text provides a novel estimation method to deal with the stochastic stability of semi-Markovian jump systems along with design of novel integral sliding surface. Finally, Takagi-Sugeno fuzzy model approach is brought to deal with system nonlinearities and fuzzy sliding mode control laws are provided to ensure the stabilization purpose.

Features:

• Presents systematic work on sliding mode control (SMC) of semi-Markvoain jump systems.
• Explores SMC methods, such as fuzzy SMC, adaptive SMC, with the presence of generally uncertain transition rates.
• Provides novel method in dealing with stochastic systems with unknown switching information.
• Proposes more general theories for semi-Markovian jump systems with generally uncertain transition rates.
• Discusses practical examples to verify the effectiveness of SMC theory in semi-Markovian jump systems.

This book aims at graduate and postgraduate students and for researchers in all engineering disciplines, including mechanical engineering, electrical engineering and applied mathematics, control engineering, signal processing, process control, control theory and robotics.

✦ Table of Contents

Cover
Half Title
Title Page
Copyright Page
Table of Contents
Preface
Acknowledgment
Authors
Chapter 1 Introduction
1.1 Sliding Mode Control
1.1.1 Basic Concepts of SMC
1.1.2 Implementation of SMC
1.1.2.1 Sliding Surface Design
1.1.2.2 Sliding Mode Controller Design
1.2 Semi-Markovian Jump Systems
1.2.1 Review of Markovian Jump Systems
1.2.2 Description of Semi-Markovian Jump Systems
1.3 Preview of This Book
1.4 Some Useful Definitions and Lemmas
1.5 Abbreviations and Notations
References
Chapter 2 Stochastic Stability of Semi-Markovian Jump Systems with Generally Uncertain Transition Rates
2.1 Introduction
2.2 System Description
2.3 Stochastic Stability Analysis
2.4 Numerical Examples
2.5 Conclusion
References
Chapter 3 Fuzzy Integral Sliding Mode Control of Semi-Markovian Jump Systems
3.1 Introduction
3.2 System Description
3.3 Main Results
3.3.1 Sliding Surface Design
3.3.2 Stochastic Stability Analysis
3.3.4 Reachability of Sliding Surface
3.4 Numerical Example
3.5 Conclusion
References
Chapter 4 Fuzzy Sliding Mode Control for Finite-Time Synthesis of Semi-Markovian Jump Systems
4.1 Introduction
4.2 System Description
4.3 Main Results
4.3.1 Finite-Time Reachability of Sliding Surface in T
4.3.2 Finite-Time Boundedness Analysis During [0, T]
4.3.3 Finite-Time Boundedness Analysis of Sliding Mode Dynamics
4.3.4 Finite-Time Boundedness Analysis Over [0,T]
4.4 Numerical Example
4.5 Conclusion
References
Chapter 5 Adaptive Fuzzy Sliding Mode Control of Semi-Markovian Jump Systems
5.1 Introduction
5.2 System Description
5.3 Main Results
5.3.1 Sliding Mode Observer Design
5.3.2 Design of Sliding Surface
5.3.3 Stochastic Stability and H-Infinity Performance Analysis
5.3.4 Reachability Analysis
5.4 Numerical Example
5.5 Conclusion
References
Chapter 6 Decentralized Adaptive Sliding Mode Control of Large-Scale Semi-Markovian Jump Systems
6.1 Introduction
6.2 System Description
6.3 Main Results
6.3.1 Sliding Surface Design
6.3.2 Stability Analysis of Sliding Mode Dynamics
6.3.3 Convergence of Sliding Surface
6.4 Numerical Example
6.5 Conclusion
References
Chapter 7 Reduced-Order Adaptive Sliding Mode Control for Switching Semi-Markovian Jump Delayed Systems
7.1 Introduction
7.2 System Description
7.3 Main Results
7.3.1 SMC Law Synthesis
7.3.2 Mean-Square Exponential Stability Analysis
7.3.3 Adaptive SMC Law Design
7.4 Numerical Examples
7.5 Conclusion
References
Outlook
Index