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Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems

Book Description

In control theory, sliding mode control (SMC) is a nonlinear control method that alters the dynamics of a nonlinear system by application of a discontinuous control signal that forces the system to slide along a cross-section of the system's normal behaviour. In recent years, SMC has been successfully applied to a wide variety of practical engineering systems including robot manipulators, aircraft, underwater vehicles, spacecraft, flexible space structures, electrical motors, power systems, and automotive engines.

Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems addresses the increasing demand for developing SMC technologies and comprehensively presents the new, state-of-the-art sliding mode control methodologies for uncertain parameter-switching hybrid systems. It establishes a unified framework for SMC of Markovian jump singular systems and proposes new SMC methodologies based on the analysis results. A series of problems are solved with new approaches for analysis and synthesis of switched hybrid systems, including stability analysis and stabilization, dynamic output feedback control, and SMC. A set of newly developed techniques (e.g. average dwell time, piecewise Lyapunov function, parameter-dependent Lyapunov function, cone complementary linearization) are exploited to handle the emerging mathematical/computational challenges.

Key features:

  • Covers new concepts, new models and new methodologies with theoretical significance in system analysis and control synthesis

  • Includes recent advances in Markovian jump systems, switched hybrid systems, singular systems, stochastic systems and time-delay systems

  • Includes solved problems

  • Introduces advanced techniques

  • Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems is a comprehensive reference for researchers and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduate and graduates studying in these areas.

    Table of Contents

    1. Series Preface
    2. Preface
    3. Acknowledgments
    4. Abbreviations and Notations
      1. Abbreviations
      2. Notations
    5. Chapter 1: Introduction
      1. 1.1 Sliding Mode Control
      2. 1.2 Uncertain Parameter-Switching Hybrid Systems
      3. 1.3 Contribution of the Book
      4. 1.4 Outline of the Book
    6. Part One: SMC of Markovian Jump Singular Systems
      1. Chapter 2: State Estimation and SMC of Markovian Jump Singular Systems
        1. 2.1 Introduction
        2. 2.2 System Description and Preliminaries
        3. 2.3 Stochastic Stability Analysis
        4. 2.4 Main Results
        5. 2.5 Illustrative Example
        6. 2.6 Conclusion
      2. Chapter 3: Optimal SMC of Markovian Jump Singular Systems with Time Delay
        1. 3.1 Introduction
        2. 3.2 System Description and Preliminaries
        3. 3.3 Bounded <img xmlns="http://www.w3.org/1999/xhtml" xmlns:epub="http://www.idpf.org/2007/ops" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" src="images/c03_ILM0011.gif" alt=""></img> Gain Performance Analysis Gain Performance Analysis
        4. 3.4 Main Results
        5. 3.5 Illustrative Example
        6. 3.6 Conclusion
      3. Chapter 4: SMC of Markovian Jump Singular Systems with Stochastic Perturbation
        1. 4.1 Introduction
        2. 4.2 System Description and Preliminaries
        3. 4.3 Integral SMC
        4. 4.4 Optimal <img xmlns="http://www.w3.org/1999/xhtml" xmlns:epub="http://www.idpf.org/2007/ops" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" src="images/c04_ILM0028.gif" alt=""></img> Integral SMC Integral SMC
        5. 4.5 Illustrative Example
        6. 4.6 Conclusion
    7. Part Two: SMC of Switched State-Delayed Hybrid Systems
      1. Chapter 5: Stability and Stabilization of Switched State-Delayed Hybrid Systems
        1. 5.1 Introduction
        2. 5.2 Continuous-Time Systems
        3. 5.3 Discrete-Time Systems
        4. 5.4 Conclusion
      2. Chapter 6: Optimal DOF Control of Switched State-Delayed Hybrid Systems
        1. 6.1 Introduction
        2. 6.2 Optimal <img xmlns="http://www.w3.org/1999/xhtml" xmlns:epub="http://www.idpf.org/2007/ops" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" src="images/c06_ILM0011.gif" alt=""></img>--<img xmlns="http://www.w3.org/1999/xhtml" xmlns:epub="http://www.idpf.org/2007/ops" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" src="images/c06_ILM0012.gif" alt=""></img> DOF Controller Design DOF Controller Design
        3. 6.3 Guaranteed Cost DOF Controller Design
        4. 6.4 Conclusion
      3. Chapter 7: SMC of Switched State-Delayed Hybrid Systems: Continuous-Time Case
        1. 7.1 Introduction
        2. 7.2 System Description and Preliminaries
        3. 7.3 Main Results
        4. 7.4 Illustrative Example
        5. 7.5 Conclusion
      4. Chapter 8: SMC of Switched State-Delayed Hybrid Systems: Discrete-Time Case
        1. 8.1 Introduction
        2. 8.2 System Description and Preliminaries
        3. 8.3 Main Results
        4. 8.4 Illustrative Example
        5. 8.5 Conclusion
    8. Part Three: SMC of Switched Stochastic Hybrid Systems
      1. Chapter 9: Control of Switched Stochastic Hybrid Systems: Continuous-Time Case
        1. 9.1 Introduction
        2. 9.2 System Description and Preliminaries
        3. 9.3 Stability Analysis and Stabilization
        4. 9.4 <img xmlns="http://www.w3.org/1999/xhtml" xmlns:epub="http://www.idpf.org/2007/ops" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" src="images/c09_ILM0030.gif" alt=""></img> Control Control
        5. 9.5 Illustrative Example
        6. 9.6 Conclusion
      2. Chapter 10: Control of Switched Stochastic Hybrid Systems: Discrete-Time Case
        1. 10.1 Introduction
        2. 10.2 System Description and Preliminaries
        3. 10.3 Stability Analysis and Stabilization
        4. 10.4 <img xmlns="http://www.w3.org/1999/xhtml" xmlns:epub="http://www.idpf.org/2007/ops" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" src="images/c10_ILM0025.gif" alt=""></img> Control Control
        5. 10.5 Illustrative Example
        6. 10.6 Conclusion
      3. Chapter 11: State Estimation and SMC of Switched Stochastic Hybrid Systems
        1. 11.1 Introduction
        2. 11.2 System Description and Preliminaries
        3. 11.3 Main Results
        4. 11.4 Observer-Based SMC Design
        5. 11.5 Illustrative Example
        6. 11.6 Conclusion
      4. Chapter 12: SMC with Dissipativity of Switched Stochastic Hybrid Systems
        1. 12.1 Introduction
        2. 12.2 Problem Formulation and Preliminaries
        3. 12.3 Dissipativity Analysis
        4. 12.4 Sliding Mode Control
        5. 12.5 Illustrative Example
        6. 12.6 Conclusion
    9. References
    10. Index
    11. End User License Agreement