1st Edition
Control of Nonlinear Systems Stability and Performance
The theory of nonlinear control systems has grown and flourished since the 1980s. Numerous texts of varying degrees of difficulty have been published on this topic. However, even the texts ostensibly aimed at beginners in the field are often riddled with complex theorems, and many treatises omit topics that are essential for a thorough familiarization with the various aspects and approaches of nonlinear control.
Control of Nonlinear Systems–Stability and Performance provides a comprehensive but accessible treatment of the subject with just the right amount of mathematical rigor to be complete but practical. The purpose of this book is to alleviate some of the confusion and difficulty in understanding the design and analysis of a wide class of control methods for nonlinear systems. This book is the outcome of several years of research, whose main purpose is not to generate new results, but rather to unify, simplify, and present in a tutorial manner most of the existing techniques for designing and analyzing control systems.
Diverse applications from control theory to engineering make the fundamentals of control of nonlinear systems – stability and performance - an indispensable part of an engineer's education.
Author
SECTION I Fundamentals of Nonlinear Systems
Chapter 1 Introduction
Chapter 2 Fundamentals of Lyapunov Theorem
Chapter 3 Nonlinear Design Methods and Tools
SECTION II Control of Nonlinear Systems
Chapter 4 Control of First-order Systems
Chapter 5 Control of Normal-form Systems
Chapter 6 Control of Strict-feedback Systems
Chapter 7 Control of MIMO Systems
SECTION III Performance/Prescribed-time Control
Chapter 8 Accelerated Adaptive Control
Chapter 9 Control with Exponential Convergence and Prescribed performance
Chapter 10 Finite-time Control
Chapter 11 Practical Prescribed-time Control
Chapter 12 Prescribed-time Stabilization Control
Chapter 13 Prescribed-time Tracking Control
Biography
Yongduan Song received the Ph.D. degree in electrical and computer engineering from Tennessee Technological University, Cookeville, TN, USA, in 1992. He held a tenured Full Professor with North Carolina A&T State University, Greensboro, NC, USA, from 1993 to 2008, and a Langley Distinguished Professor with the National Institute of Aerospace, Hampton, VA, USA, from 2005 to 2008. He is currently the Dean of the Institute of Artificial Intelligence, Chongqing University, Chongqing, China. He was one of the six Langley Distinguished Professors with the National Institute of Aerospace (NIA), Hampton, VA, USA, and the Founding Director of Cooperative Systems with NIA. His current research interests include intelligent systems, guidance navigation and control, bio-inspired adaptive, and cooperative systems. Kai Zhao received the Ph.D. degree in control theory and control engineering from Chongqing University, Chongqing, China, in 2019. He held research positions with Department of Computer and Information Science at the University of Macau, and Department of Electrical and Computer Engineering at the National University of Singapore. Since May 2023 he has been an associate professor at School of Automation, Chongqing University, China. Hefu Ye received the B.Eng. degree from the School of Information Science and Engineering, Harbin Institute of Technology, Harbin, China, in 2019. He is currently pursuing the Ph.D. degree with the School of Automation, Chongqing University, Chongqing, China. He is currently pursuing the joint Ph.D. degree with the School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore
