Control Synthesis of Switched Systems (eBook)

Preface 6
Acknowledgments 8
Contents 9
1 Introduction 12
1.1 Switched Systems 12
1.2 Background and Examples 13
1.3 Motivations 19
1.4 Structure of the Book 23
References 24
2 Stabilization of Switched Linear Systems with Stable Subsystems 26
2.1 Background and Motivation 26
2.2 Stabilization for Switched Systems Composed of Stable Subsystems 27
2.2.1 Problem Formulation and Preliminaries 27
2.2.2 Main Results 29
2.2.3 Simulation Results 36
2.2.4 Conclusions 39
2.3 Stabilization of Switched Linear Systems with Unstable Subsystems 39
2.3.1 Problem Formulation and Preliminaries 39
2.3.2 Main Results 40
2.3.3 Simulation Results 47
2.3.4 Conclusions 49
References 50
3 Switching Stabilization of Switched Systems Composed of Unstable Subsystems 51
3.1 Background and Motivation 51
3.2 Switching Stabilization of Switched Linear Systems 52
3.2.1 Problem Formulation and Preliminaries 52
3.2.2 Main Results 53
3.2.3 Simulation Results 60
3.2.4 Conclusions 62
3.3 Switching Stabilization of Switched Nonlinear Systems 63
3.3.1 Problem Formulation and Preliminaries 63
3.3.2 Main Results 64
3.3.3 Simulation Results 69
3.3.4 Conclusions 73
References 73
4 Adaptive Control of Switched Nonlinear Systems 74
4.1 Background and Motivation 74
4.2 Adaptive Control of Switched Strict-Feedback Nonlinear Systems 75
4.2.1 Problem Formulation and Preliminaries 75
4.2.2 Main Results 77
4.2.3 Simulation Results 84
4.2.4 Conclusions 86
4.3 Adaptive Control of Switched Nonstrict-Feedback Nonlinear Systems 88
4.3.1 Problem Formulation and Preliminaries 88
4.3.2 Adaptive Control Design Based on Neural Networks 89
4.3.3 Simulation Results 96
4.3.4 Conclusions 101
References 102
5 Adaptive Control of Switched Stochastic Nonlinear Systems 104
5.1 Background and Motivation 104
5.2 Adaptive Tracking Control for Switched Stochastic Nonlinear Systems with Unknown Actuator Dead-Zone 105
5.2.1 Problem Formulation and Preliminaries 105
5.2.2 Main Results 108
5.2.3 Simulation Results 116
5.2.4 Conclusions 118
5.3 Adaptive Neural Control for Switched Stochastic High-Order Uncertain Nonlinear Systems with SISS Inverse Dynamic 120
5.3.1 Problem Formulation and Preliminaries 120
5.3.2 Main Results 122
5.3.3 Simulation Results 133
5.3.4 Conclusions 135
References 135
6 Output Tracking Control of Constrained Switched Nonlinear Systems 137
6.1 Background and Motivation 137
6.2 Barrier Lyapunov Functions-Based Control Design 138
6.2.1 Problem Formulation and Preliminaries 138
6.2.2 Control Design for Full State Constraints 140
6.2.3 Control Design for Time-Varying Output Constraints 146
6.2.4 Simulation Results 151
6.2.5 Conclusions 152
6.3 p-Times Differentiable Unbounded Functions-Based Control Design 154
6.3.1 Problem Formulation and Preliminaries 154
6.3.2 Main Results 157
6.3.3 Simulation Results 166
6.3.4 Conclusions 169
References 170
7 Conclusions and Future Study Directions 171
References 172