Sliding mode control of uncertain parameter-switching hybrid systems / Ligang Wu, Harbin Institute of Technology, China, Peng Shi, The University of Adelaide and Victoria University, Australia, Xiaojie Su, Chongqing University, China.

By: Wu, LigangContributor(s): Shi, Peng, 1958- | Su, XiaojieMaterial type: TextTextSeries: Wiley series in dynamics and control of electromechanical systemsPublisher: Chichester, West Sussex, United Kingdom : Wiley, 2014Description: 1 online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781118862629 (ePub); 1118862627 (ePub); 9781118862643 (Adobe PDF); 1118862643 (Adobe PDF); 9781118862612 (electronic bk.); 1118862619 (electronic bk.); 1118862597; 9781118862599; 9781306908238 (MyiLibrary); 130690823X (MyiLibrary)Subject(s): Sliding mode control | TECHNOLOGY & ENGINEERING / Mechanical | Sliding mode control | Sliding mode control | Hybrid systemsGenre/Form: Electronic books. | Electronic books. | Electronic books.Additional physical formats: Print version:: Sliding mode control of uncertain parameter-switching hybrid systemsDDC classification: 629.8 LOC classification: TJ220.5Other classification: TEC009070 Online resources: Wiley Online Library
Contents:
Machine generated contents note: Preface v Acknowledgements vii List of Notations xi List of Abbreviations xiii 1 Introduction 1 1.1 Sliding Mode Control 1 1.1.1 Fundamental Theory of SMC 1 1.1.2 Overview of SMC Methodologies 12 1.2 Uncertain Parameter-Switching Hybrid Systems 15 1.2.1 Analysis and Synthesis of Switched Hybrid Systems 15 1.2.2 Analysis and Synthesis of Markovian Jump Linear Systems 23 1.3 Contribution of the Book 24 1.4 Outline of the Book 26 Part One SMC of Markovian Jump Singular Systems 33 2 State Estimation and SMC of Markovian Jump Singular Systems 35 2.1 Introduction 35 2.2 System Description and Preliminaries 36 2.3 Stochastic Stability Analysis 37 2.4 Main Results 39 2.4.1 Observer and SMC Law Design 40 2.4.2 Sliding Mode Dynamics Analysis 41 2.5 Illustrative Example 45 2.6 Conclusion 47 3 Optimal SMC of Markovian Jump Singular Systems with Time-Delay 49 3.1 Introduction 49 3.2 System Description and Preliminaries 50 3.3 Bounded L2 Gain Performance Analysis 51 3.4 Main Results 54 3.4.1 Sliding Mode Dynamics Analysis 54 3.4.2 SMC Law Design 58 3.5 Illustrative Example 59 3.6 Conclusion 62 4 SMC of Markovian Jump Singular Systems with Stochastic Perturbation 63 4.1 Introduction 63 4.2 System Description and Preliminaries 64 4.3 Integral SMC 65 4.3.1 Sliding Mode Dynamics Analysis 65 4.3.2 SMC Law Design 67 4.4 Optimal H∞ Integral SMC 69 4.4.1 Performance Analysis and SMC Law Design 69 4.4.2 Computational Algorithm 74 4.5 Illustrative Example 75 4.6 Conclusion 80 Part Two SMC of Switched State-Delayed Hybrid Systems 81 5 Stability and Stabilization of Switched State-Delayed Hybrid Systems 83 5.1 Introduction 83 5.2 Continuous-Time Systems 84 5.2.1 System Description 84 5.2.2 Main Results 85 5.2.3 Illustrative Example 89 5.3 Discrete-Time Systems 90 5.3.1 System Description 90 5.3.2 Main Results 91 5.3.3 Illustrative Example 97 5.4 Conclusion 100 6 Optimal DOF Control of Switched State-Delayed Hybrid Systems 101 6.1 Introduction 101 6.2 Optimal L2-L∞ DOF Controller Design 102 6.2.1 System Description and Preliminaries 102 6.2.2 Main Results 103 6.2.3 Illustrative Example 113 6.3 Guaranteed Cost DOF Controller Design 117 6.3.1 System Description and Preliminaries 117 6.3.2 Main Results 118 6.3.3 Illustrative Example 127 6.4 Conclusion 131 7 SMC of Switched State-Delayed Hybrid Systems: Continuous-Time Case 133 7.1 Introduction 133 7.2 System Description and Preliminaries 134 7.3 Main Results 134 7.3.1 Sliding Mode Dynamics Analysis 134 7.3.2 SMC Law Design 138 7.4 Illustrative Example 142 7.5 Conclusion 148 8 SMC of Switched State-Delayed Hybrid Systems: Discrete-Time Case 149 8.1 Introduction 149 8.2 System Description and Preliminaries 150 8.3 Main Results 151 8.3.1 Sliding Mode Dynamics Analysis 151 8.3.2 SMC Law Design 157 8.4 Illustrative Example 158 8.5 Conclusion 161 Part Three SMC of Switched Stochastic Hybrid Systems 163 9 Control of Switched Stochastic Hybrid Systems: Continuous-Time Case 165 9.1 Introduction 165 9.2 System Description and Preliminaries 166 9.3 Stability Analysis and Stabilization 168 9.4 H∞ Control 172 9.4.1 H∞ Performance Analysis 172 9.4.2 State Feedback Control 174 9.4.3 H∞ DOF Controller Design 175 9.5 Illustrative Example 178 9.6 Conclusion 183 10 Control of Switched Stochastic Hybrid Systems: Discrete-Time Case 185 10.1 Introduction 185 10.2 System Description and Preliminaries 185 10.3 Stability Analysis and Stabilization 187 10.4 H∞ Control 192 10.5 Illustrative Example 196 10.6 Conclusion 200 11 State Estimation and SMC of Switched Stochastic Hybrid Systems 201 11.1 Introduction 201 11.2 System Description and Preliminaries 201 11.3 Main Results 203 11.3.1 Sliding Mode Dynamics Analysis 203 11.3.2 SMC Law Design 204 11.4 Observer-Based SMC Design 205 11.5 Illustrative Example 209 11.6 Conclusion 215 12 SMC with Dissipativity of Switched Stochastic Hybrid Systems 217 12.1 Introduction 217 12.2 Problem Formulation and Preliminaries 218 12.2.1 System Description 218 12.2.2 Dissipativity 219 12.3 Dissipativity Analysis 220 12.4 Sliding Mode Control 224 12.4.1 Sliding Mode Dynamics 224 12.4.2 Sliding Mode Dynamics Analysis 226 12.4.3 SMC Law Design 228 12.5 Illustrative Example 229 12.6 Conclusion 233 References 235 .
Summary: "Presents new, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systemsSliding Mode Control of Uncertain Parameter-Switching Hybrid Systems presentsnew, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systems (including Markovian jump systems, switched hybrid systems, singular systems, stochastic systems and time-delay systems).The first part of this book establishes a unified framework for SMC of Markovian jump singular systems and proposes new SMC methodologies based on the analysis results. In the second part, the problem of SMC of switched state-delayed hybrid systems is investigated, and finally the parallel theories and techniques that have been developed are extended to deal with switched stochastic hybrid systems.Solved problems with new approaches for analysis and synthesis of continuous- and discrete-time switched hybrid systems, (including stability analysis and stabilization, dynamic output feedback control,) are also included throughout. Presents new, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systems Provides a unified, systematic framework for handling SMC problems Introduces new concepts, models and techniques Includes solved problems throughout "-- Provided by publisher.
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"Presents new, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systemsSliding Mode Control of Uncertain Parameter-Switching Hybrid Systems presentsnew, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systems (including Markovian jump systems, switched hybrid systems, singular systems, stochastic systems and time-delay systems).The first part of this book establishes a unified framework for SMC of Markovian jump singular systems and proposes new SMC methodologies based on the analysis results. In the second part, the problem of SMC of switched state-delayed hybrid systems is investigated, and finally the parallel theories and techniques that have been developed are extended to deal with switched stochastic hybrid systems.Solved problems with new approaches for analysis and synthesis of continuous- and discrete-time switched hybrid systems, (including stability analysis and stabilization, dynamic output feedback control,) are also included throughout. Presents new, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systems Provides a unified, systematic framework for handling SMC problems Introduces new concepts, models and techniques Includes solved problems throughout "-- Provided by publisher.

Includes bibliographical references and index.

Machine generated contents note: Preface v Acknowledgements vii List of Notations xi List of Abbreviations xiii 1 Introduction 1 1.1 Sliding Mode Control 1 1.1.1 Fundamental Theory of SMC 1 1.1.2 Overview of SMC Methodologies 12 1.2 Uncertain Parameter-Switching Hybrid Systems 15 1.2.1 Analysis and Synthesis of Switched Hybrid Systems 15 1.2.2 Analysis and Synthesis of Markovian Jump Linear Systems 23 1.3 Contribution of the Book 24 1.4 Outline of the Book 26 Part One SMC of Markovian Jump Singular Systems 33 2 State Estimation and SMC of Markovian Jump Singular Systems 35 2.1 Introduction 35 2.2 System Description and Preliminaries 36 2.3 Stochastic Stability Analysis 37 2.4 Main Results 39 2.4.1 Observer and SMC Law Design 40 2.4.2 Sliding Mode Dynamics Analysis 41 2.5 Illustrative Example 45 2.6 Conclusion 47 3 Optimal SMC of Markovian Jump Singular Systems with Time-Delay 49 3.1 Introduction 49 3.2 System Description and Preliminaries 50 3.3 Bounded L2 Gain Performance Analysis 51 3.4 Main Results 54 3.4.1 Sliding Mode Dynamics Analysis 54 3.4.2 SMC Law Design 58 3.5 Illustrative Example 59 3.6 Conclusion 62 4 SMC of Markovian Jump Singular Systems with Stochastic Perturbation 63 4.1 Introduction 63 4.2 System Description and Preliminaries 64 4.3 Integral SMC 65 4.3.1 Sliding Mode Dynamics Analysis 65 4.3.2 SMC Law Design 67 4.4 Optimal H∞ Integral SMC 69 4.4.1 Performance Analysis and SMC Law Design 69 4.4.2 Computational Algorithm 74 4.5 Illustrative Example 75 4.6 Conclusion 80 Part Two SMC of Switched State-Delayed Hybrid Systems 81 5 Stability and Stabilization of Switched State-Delayed Hybrid Systems 83 5.1 Introduction 83 5.2 Continuous-Time Systems 84 5.2.1 System Description 84 5.2.2 Main Results 85 5.2.3 Illustrative Example 89 5.3 Discrete-Time Systems 90 5.3.1 System Description 90 5.3.2 Main Results 91 5.3.3 Illustrative Example 97 5.4 Conclusion 100 6 Optimal DOF Control of Switched State-Delayed Hybrid Systems 101 6.1 Introduction 101 6.2 Optimal L2-L∞ DOF Controller Design 102 6.2.1 System Description and Preliminaries 102 6.2.2 Main Results 103 6.2.3 Illustrative Example 113 6.3 Guaranteed Cost DOF Controller Design 117 6.3.1 System Description and Preliminaries 117 6.3.2 Main Results 118 6.3.3 Illustrative Example 127 6.4 Conclusion 131 7 SMC of Switched State-Delayed Hybrid Systems: Continuous-Time Case 133 7.1 Introduction 133 7.2 System Description and Preliminaries 134 7.3 Main Results 134 7.3.1 Sliding Mode Dynamics Analysis 134 7.3.2 SMC Law Design 138 7.4 Illustrative Example 142 7.5 Conclusion 148 8 SMC of Switched State-Delayed Hybrid Systems: Discrete-Time Case 149 8.1 Introduction 149 8.2 System Description and Preliminaries 150 8.3 Main Results 151 8.3.1 Sliding Mode Dynamics Analysis 151 8.3.2 SMC Law Design 157 8.4 Illustrative Example 158 8.5 Conclusion 161 Part Three SMC of Switched Stochastic Hybrid Systems 163 9 Control of Switched Stochastic Hybrid Systems: Continuous-Time Case 165 9.1 Introduction 165 9.2 System Description and Preliminaries 166 9.3 Stability Analysis and Stabilization 168 9.4 H∞ Control 172 9.4.1 H∞ Performance Analysis 172 9.4.2 State Feedback Control 174 9.4.3 H∞ DOF Controller Design 175 9.5 Illustrative Example 178 9.6 Conclusion 183 10 Control of Switched Stochastic Hybrid Systems: Discrete-Time Case 185 10.1 Introduction 185 10.2 System Description and Preliminaries 185 10.3 Stability Analysis and Stabilization 187 10.4 H∞ Control 192 10.5 Illustrative Example 196 10.6 Conclusion 200 11 State Estimation and SMC of Switched Stochastic Hybrid Systems 201 11.1 Introduction 201 11.2 System Description and Preliminaries 201 11.3 Main Results 203 11.3.1 Sliding Mode Dynamics Analysis 203 11.3.2 SMC Law Design 204 11.4 Observer-Based SMC Design 205 11.5 Illustrative Example 209 11.6 Conclusion 215 12 SMC with Dissipativity of Switched Stochastic Hybrid Systems 217 12.1 Introduction 217 12.2 Problem Formulation and Preliminaries 218 12.2.1 System Description 218 12.2.2 Dissipativity 219 12.3 Dissipativity Analysis 220 12.4 Sliding Mode Control 224 12.4.1 Sliding Mode Dynamics 224 12.4.2 Sliding Mode Dynamics Analysis 226 12.4.3 SMC Law Design 228 12.5 Illustrative Example 229 12.6 Conclusion 233 References 235 .

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