Variable Gain Control and Its Applications in Energy Conversion

Chenghui Zhang, Le Chang, Cheng Fu

Preface Authors 1 Introduction 1.1 High/Low Gain Control Design Method 1.1.1 High Gain Feedback Control 1.1.2 Low Gain Feedback Control 1.2 Challenges 1.2.1 Complex Nonlinearities 1.2.2 Multi Control Gains 1.3 Preview of Chapters SECTION I: CONTROL DESIGN FOR SINGLE INPUT SYSTEMS 2 Increasing Gain Feedback Control 2.1 Problem Description 2.2 Control Design 2.3 Stability Analysis 2.4 Simulation 2.5 Notes 3 Output Feedback Control 3.1 Problem Description 3.2 Control Design 3.3 Stability Analysis 3.4 Simulation 3.5 Notes 4 Fixed-Time Feedback Control 4.1 Problem Formulation 4.1.1 Fixed-Time Stability 4.1.2 Problem Description 4.2 Control Design 4.3 Stability Analysis 4.4 Simulation 4.5 Notes 5 Decreasing Gain Feedback Control 5.1 Problem Description 5.2 Control Design 5.3 Stability Analysis 5.4 Simulation 5.5 Notes 6 Asymptotic Stabilization of Time-Delay Systems 6.1 Problem Description 6.2 Control Design 6.3 Stability Analysis 6.4 Simulation 6.5 Notes SECTION II: CONTROL DESIGN FOR MULTI INPUT SYSTEMS 7 Control Design of Nonholonomic Systems 7.1 Problem Description 7.2 Control Design 7.3 Stability Analysis 7.4 Simulation 7.5 Notes 8 Decentralized Control for Large-Scale Systems 8.1 Problem Description 8.2 Decentralized Control With Constant Parameters 8.2.1 Control Design 8.2.2 Stability Analysis 8.2.3 Simulation 8.3 Decentralized Control With Global Dynamic Parameters 8.3.1 Control Design 8.3.2 Stability Analysis 8.3.3 Simulation 8.4 Decentralized Control With Distributed Regulating Gains 8.4.1 Control Design 8.4.2 Stability Analysis 8.4.3 Simulation 8.5 Notes 9 Distributed Control for Multi-Agent Systems 9.1 Problem Formulation 9.1.1 Network Topology 9.1.2 System Dynamics 9.1.3 Problem Description 9.2 Low Gain Feedback Control Protocol 9.2.1 Control Protocol 9.2.2 Consensus Analysis 9.2.3 Simulation 9.3 Time-Varying Control Protocol 9.3.1 Protocol Design 9.3.2 Consensus Analysis 9.3.3 Simulation 9.4 Notes SECTION III: APPLICATIONS IN ENERGY CONVERSION 10 Variable Gain Control of Three-Phase AC/DC Power Converter 10.1 Background 10.2 Mathematical Model and Preliminaries 10.3 DC-link Voltage Control 10.3.1 Direct Gain Control Design 10.3.2 Dynamic Gain Control Design 10.4 Results 10.4.1 Controller Inserting Performance 10.4.2 Load Disturbance 10.5 Notes 11 Variable Gain Control of Permanent Magnet Synchronous Motor Speed Regulation System 11.1 Background 11.2 Mathematical Model and Preliminaries 11.3 Fixed-Time Control Design 11.4 Case Studies 11.4.1 Case 1: Start-up Performance 11.4.2 Case 2: Different Working Conditions 11.5 Notes 12 Direct Gain Control-Based Distributed Robust Secondary Control of Islanded Microgrids 12.1 Background 12.2 Problem Formulation 12.2.1 Communication Network 12.2.2 Mathematical Model 12.3 Distributed Secondary Voltage Control 12.4 Distributed Frequency Control and Active Power Sharing 12.5 Case Studies 12.5.1 Case 1: Load Disturbances 12.5.2 Case 2: Parameter Uncertainties 12.6 Notes 13 Conclusions and Future Challenges 13.1 Conclusions 13.2 Future Challenges Appendix References