Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems.

By: Wu, LigangContributor(s): Shi, Peng | Su, XiaojieMaterial type: TextTextSeries: Wiley Series in Dynamics and Control of Electromechanical Systems SerPublisher: New York : John Wiley & Sons, Incorporated, 2014Copyright date: ©2014Edition: 1st edDescription: 1 online resource (285 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9781118862643Subject(s): Sliding mode controlGenre/Form: Electronic books.Additional physical formats: Print version:: Sliding Mode Control of Uncertain Parameter-Switching Hybrid SystemsDDC classification: 629.8 LOC classification: TJ220.5 .W83 2014Online resources: Click to View
Contents:
Intro -- Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems -- Contents -- Series Preface -- Preface -- Acknowledgments -- Abbreviations and Notations -- Abbreviations -- Notations -- 1 Introduction -- 1.1 Sliding Mode Control -- 1.1.1 Fundamental Theory of SMC -- 1.1.2 Overview of SMC Methodologies -- 1.2 Uncertain Parameter-Switching Hybrid Systems -- 1.2.1 Analysis and Synthesis of Switched Hybrid Systems -- 1.2.2 Analysis and Synthesis of Markovian Jump Linear Systems -- 1.3 Contribution of the Book -- 1.4 Outline of the Book -- Part One SMC of Markovian Jump Singular Systems -- 2 State Estimation and SMC of Markovian Jump Singular Systems -- 2.1 Introduction -- 2.2 System Description and Preliminaries -- 2.3 Stochastic Stability Analysis -- 2.4 Main Results -- 2.4.1 Observer and SMC Law Design -- 2.4.2 Sliding Mode Dynamics Analysis -- 2.5 Illustrative Example -- 2.6 Conclusion -- 3 Optimal SMC of Markovian Jump Singular Systems with Time Delay -- 3.1 Introduction -- 3.2 System Description and Preliminaries -- 3.3 Bounded L2 Gain Performance Analysis -- 3.4 Main Results -- 3.4.1 Sliding Mode Dynamics Analysis -- 3.4.2 SMC Law Design -- 3.5 Illustrative Example -- 3.6 Conclusion -- 4 SMC of Markovian Jump Singular Systems with Stochastic Perturbation -- 4.1 Introduction -- 4.2 System Description and Preliminaries -- 4.3 Integral SMC -- 4.3.1 Sliding Mode Dynamics Analysis -- 4.3.2 SMC Law Design -- 4.4 Optimal Integral SMC -- 4.4.1 Performance Analysis and SMC Law Design -- 4.4.2 Computational Algorithm -- 4.5 Illustrative Example -- 4.6 Conclusion -- Part Two SMC of Switched State-Delayed Hybrid Systems -- 5 Stability and Stabilization of Switched State-Delayed Hybrid Systems -- 5.1 Introduction -- 5.2 Continuous-Time Systems -- 5.2.1 System Description -- 5.2.2 Main Results -- 5.2.3 Illustrative Example.
5.3 Discrete-Time Systems -- 5.3.1 System Description -- 5.3.2 Main Results -- 5.3.3 Illustrative Example -- 5.4 Conclusion -- 6 Optimal DOF Control of Switched State-Delayed Hybrid Systems -- 6.1 Introduction -- 6.2 Optimal L2-L∞ DOF Controller Design -- 6.2.1 System Description and Preliminaries -- 6.2.2 Main Results -- 6.2.3 Illustrative Example -- 6.3 Guaranteed Cost DOF Controller Design -- 6.3.1 System Description and Preliminaries -- 6.3.2 Main Results -- 6.3.3 Illustrative Example -- 6.4 Conclusion -- 7 SMC of Switched State-Delayed Hybrid Systems: Continuous-Time Case -- 7.1 Introduction -- 7.2 System Description and Preliminaries -- 7.3 Main Results -- 7.3.1 Sliding Mode Dynamics Analysis -- 7.3.2 SMC Law Design -- 7.4 Illustrative Example -- 7.5 Conclusion -- 8 SMC of Switched State-Delayed Hybrid Systems: Discrete-Time Case -- 8.1 Introduction -- 8.2 System Description and Preliminaries -- 8.3 Main Results -- 8.3.1 Sliding Mode Dynamics Analysis -- 8.3.2 SMC Law Design -- 8.4 Illustrative Example -- 8.5 Conclusion -- Part Three SMC of Switched Stochastic Hybrid Systems -- 9 Control of Switched Stochastic Hybrid Systems: Continuous-Time Case -- 9.1 Introduction -- 9.2 System Description and Preliminaries -- 9.3 Stability Analysis and Stabilization -- 9.4 Control -- 9.4.1 H∞ Performance Analysis -- 9.4.2 State Feedback Control -- 9.4.3 H∞ DOF Controller Design -- 9.5 Illustrative Example -- 9.6 Conclusion -- 10 Control of Switched Stochastic Hybrid Systems: Discrete-Time Case -- 10.1 Introduction -- 10.2 System Description and Preliminaries -- 10.3 Stability Analysis and Stabilization -- 10.4 Control -- 10.5 Illustrative Example -- 10.6 Conclusion -- 11 State Estimation and SMC of Switched Stochastic Hybrid Systems -- 11.1 Introduction -- 11.2 System Description and Preliminaries -- 11.3 Main Results.
11.3.1 Sliding Mode Dynamics Analysis -- 11.3.2 SMC Law Design -- 11.4 Observer-Based SMC Design -- 11.5 Illustrative Example -- 11.6 Conclusion -- 12 SMC with Dissipativity of Switched Stochastic Hybrid Systems -- 12.1 Introduction -- 12.2 Problem Formulation and Preliminaries -- 12.2.1 System Description -- 12.2.2 Dissipativity -- 12.3 Dissipativity Analysis -- 12.4 Sliding Mode Control -- 12.4.1 Sliding Mode Dynamics -- 12.4.2 Sliding Mode Dynamics Analysis -- 12.4.3 SMC Law Design -- 12.5 Illustrative Example -- 12.6 Conclusion -- References -- Index.
Summary: 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,Summary: system sciences and applied mathematics, and is also a useful source of information for senior undergraduate and graduates studying in these areas.
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Intro -- Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems -- Contents -- Series Preface -- Preface -- Acknowledgments -- Abbreviations and Notations -- Abbreviations -- Notations -- 1 Introduction -- 1.1 Sliding Mode Control -- 1.1.1 Fundamental Theory of SMC -- 1.1.2 Overview of SMC Methodologies -- 1.2 Uncertain Parameter-Switching Hybrid Systems -- 1.2.1 Analysis and Synthesis of Switched Hybrid Systems -- 1.2.2 Analysis and Synthesis of Markovian Jump Linear Systems -- 1.3 Contribution of the Book -- 1.4 Outline of the Book -- Part One SMC of Markovian Jump Singular Systems -- 2 State Estimation and SMC of Markovian Jump Singular Systems -- 2.1 Introduction -- 2.2 System Description and Preliminaries -- 2.3 Stochastic Stability Analysis -- 2.4 Main Results -- 2.4.1 Observer and SMC Law Design -- 2.4.2 Sliding Mode Dynamics Analysis -- 2.5 Illustrative Example -- 2.6 Conclusion -- 3 Optimal SMC of Markovian Jump Singular Systems with Time Delay -- 3.1 Introduction -- 3.2 System Description and Preliminaries -- 3.3 Bounded L2 Gain Performance Analysis -- 3.4 Main Results -- 3.4.1 Sliding Mode Dynamics Analysis -- 3.4.2 SMC Law Design -- 3.5 Illustrative Example -- 3.6 Conclusion -- 4 SMC of Markovian Jump Singular Systems with Stochastic Perturbation -- 4.1 Introduction -- 4.2 System Description and Preliminaries -- 4.3 Integral SMC -- 4.3.1 Sliding Mode Dynamics Analysis -- 4.3.2 SMC Law Design -- 4.4 Optimal Integral SMC -- 4.4.1 Performance Analysis and SMC Law Design -- 4.4.2 Computational Algorithm -- 4.5 Illustrative Example -- 4.6 Conclusion -- Part Two SMC of Switched State-Delayed Hybrid Systems -- 5 Stability and Stabilization of Switched State-Delayed Hybrid Systems -- 5.1 Introduction -- 5.2 Continuous-Time Systems -- 5.2.1 System Description -- 5.2.2 Main Results -- 5.2.3 Illustrative Example.

5.3 Discrete-Time Systems -- 5.3.1 System Description -- 5.3.2 Main Results -- 5.3.3 Illustrative Example -- 5.4 Conclusion -- 6 Optimal DOF Control of Switched State-Delayed Hybrid Systems -- 6.1 Introduction -- 6.2 Optimal L2-L∞ DOF Controller Design -- 6.2.1 System Description and Preliminaries -- 6.2.2 Main Results -- 6.2.3 Illustrative Example -- 6.3 Guaranteed Cost DOF Controller Design -- 6.3.1 System Description and Preliminaries -- 6.3.2 Main Results -- 6.3.3 Illustrative Example -- 6.4 Conclusion -- 7 SMC of Switched State-Delayed Hybrid Systems: Continuous-Time Case -- 7.1 Introduction -- 7.2 System Description and Preliminaries -- 7.3 Main Results -- 7.3.1 Sliding Mode Dynamics Analysis -- 7.3.2 SMC Law Design -- 7.4 Illustrative Example -- 7.5 Conclusion -- 8 SMC of Switched State-Delayed Hybrid Systems: Discrete-Time Case -- 8.1 Introduction -- 8.2 System Description and Preliminaries -- 8.3 Main Results -- 8.3.1 Sliding Mode Dynamics Analysis -- 8.3.2 SMC Law Design -- 8.4 Illustrative Example -- 8.5 Conclusion -- Part Three SMC of Switched Stochastic Hybrid Systems -- 9 Control of Switched Stochastic Hybrid Systems: Continuous-Time Case -- 9.1 Introduction -- 9.2 System Description and Preliminaries -- 9.3 Stability Analysis and Stabilization -- 9.4 Control -- 9.4.1 H∞ Performance Analysis -- 9.4.2 State Feedback Control -- 9.4.3 H∞ DOF Controller Design -- 9.5 Illustrative Example -- 9.6 Conclusion -- 10 Control of Switched Stochastic Hybrid Systems: Discrete-Time Case -- 10.1 Introduction -- 10.2 System Description and Preliminaries -- 10.3 Stability Analysis and Stabilization -- 10.4 Control -- 10.5 Illustrative Example -- 10.6 Conclusion -- 11 State Estimation and SMC of Switched Stochastic Hybrid Systems -- 11.1 Introduction -- 11.2 System Description and Preliminaries -- 11.3 Main Results.

11.3.1 Sliding Mode Dynamics Analysis -- 11.3.2 SMC Law Design -- 11.4 Observer-Based SMC Design -- 11.5 Illustrative Example -- 11.6 Conclusion -- 12 SMC with Dissipativity of Switched Stochastic Hybrid Systems -- 12.1 Introduction -- 12.2 Problem Formulation and Preliminaries -- 12.2.1 System Description -- 12.2.2 Dissipativity -- 12.3 Dissipativity Analysis -- 12.4 Sliding Mode Control -- 12.4.1 Sliding Mode Dynamics -- 12.4.2 Sliding Mode Dynamics Analysis -- 12.4.3 SMC Law Design -- 12.5 Illustrative Example -- 12.6 Conclusion -- References -- Index.

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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2018. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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