Variable Gain Control and Its Applications in Energy Conversion by Zhang, Chenghui; Chang, Le; Fu, Cheng;

Short description:

The variable gain control method is a new construction technique for the control of nonlinear systems.

Long description:

The variable gain control method is a new construction technique for the control of nonlinear systems. By properly conducting state transformation that depends on the variable gains, the control design problem of nonlinear systems can be transformed into a gain construction problem, thus effectively avoiding the tedious iterative design procedure. Different from the classical backstepping method and forwarding design method, the structure of variable gain control is simpler in the sense that fewer design parameters are required, facilitating the improvement of system control performance.

To highlight the learning, research, and promotion of variable gain control, Variable Gain Control and Its Applications in Energy Conversion is written based on the research results of peers at home and abroad and combining our latest research. This book presents innovative technologies for designing variable gain controllers for nonlinear systems. It systematically describes the origin and principles of variable gain control for nonlinear systems, focuses on the controller design and stability analysis, and reflects the latest research. In addition, variable gain control methods applied to energy conversion are also included.

Discussion remarks are provided in each chapter highlighting new approaches and contributions to emphasize the novelty of the presented design and analysis methods. In addition, simulation results are given in each chapter to show the effectiveness of these methods.

It can be used as a reference book or a textbook for students with some background in feedback control systems. Researchers, graduate students, and engineers in the fields of control, information, renewable energy generation, electrical engineering, mechanical engineering, applied mathematics, and others will benefit from this book.

Table of Contents:

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