Adaptive Control of Dynamic Systems with Uncertainty and Quantization

This book presents a series of innovative technologies and research results on adaptive control of dynamic systems with quantization, uncertainty, and nonlinearity, including the theoretical success and practical development such as the approaches for stability analysis, the compensation of quantization, the treatment of subsystem interactions, and the improvement of system tracking and transient performance. Novel solutions by adopting backstepping design tools to a number of hotspots and challenging problems in the area of adaptive control are provided. In the first three chapters, the general design procedures and stability analysis of backstepping controllers and the basic descriptions and properties of quantizers are introduced as preliminary knowledge for this book. In the remainder of this book, adaptive control schemes are introduced to compensate for the effects of input quantization, state quantization, both input and state/output quantization for uncertain nonlinear systems and are applied to helicopter systems and DC Microgrid. Discussion remarks are provided in each chapter highlighting new approaches and contributions to emphasize the novelty of the presented design and analysis methods. Simulation results are also given in each chapter to show the effectiveness of these methods. This book is helpful to learn and understand the fundamental backstepping schemes for state feedback control and output feedback control. It can be used as a reference book or a textbook on adaptive quantized control for students with some background in feedback control systems. Researchers, graduate students, and engineers in the fields of control, information, and communication, electrical engineering, mechanical engineering, computer science, and others will benefit from this book.

Jing Zhou is currently a Full Professor at the Faculty of Engineering and Science, University of Agder, Norway, and a Research Director of the Priority Research Center of Mechatronics. Lantao Xing is a Presidential Postdoctoral Fellow at the School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore. Changyun Wen is currently a Full Professor at the Nanyang Technological University, Singapore.

1. Introduction. 2. Backstepping Control. 3. Quantizers and Quantized Control Systems. SECTION I: INPUT QUANTIZATION COMPENSATION. 4. Adaptive Stabilization of Nonlinear Uncertain Systems with Input Quantization. 5. Adaptive Tracking of Nonlinear Uncertain Systems with Input Quantization. 6. Decentralized Adaptive Control of Interconnected Systems with Input. Quantization. 7. Output Feedback Control for Uncertain Nonlinear Systems with Input. Quantization. SECTION II: STATE QUANTIZATION COMPENSATION. 8. Adaptive Control of Systems with Bounded State Quantization. 9. Adaptive Control of Systems with Sector-Bounded State Quantization. SECTION III: INPUT AND STATE/OUTPUT QUANTIZATION COMPENSATION. 10. Adaptive State Feedback Control of Systems with Input and State Quantization. 11. Adaptive Output Feedback Control of Systems with Input and Output. Quantization. SECTION IV: APPLICATIONS. 12. Adaptive Attitude Control of Helicopter with Quantization. 13. Quantized Distributed Secondary Control for DC Microgrid. 14. Conclusions and Future Challenges. Appendices.