Nonlinear Systems (Third Edition)

Author: (USA) Khalil / Zhu Yisheng / Dong Hui / Li Zuozhou
Publisher:
Publish Date: 2005-07-01
Features: This book is a graduate textbook for the Department of Aerospace and Computer Engineering at Michigan State University, USA. The content is divided into four parts based on the progression of mathematical knowledge: Basic Analysis. Introduces the basic concepts and fundamental analysis methods of nonlinear systems; Feedback System Analysis. Covers input-output stability, passivity, and frequency domain analysis of feedback systems; Modern Analysis. Presents the basic concepts of modern stability analysis, stability of perturbed systems, perturbation theory, averaging, and singular perturbation theory; Nonlinear Feedback Control. Introduces the basic concepts of feedback control and feedback linearization. Khalil provides several nonlinear design tools, such as sliding mode control, Lyapunov redesign, backstepping, passivity-based control, and high-gain observers. Website: www.prenhall.com/khalil. You can find various related materials about this book, including updates to version modifications, suggestions for organizing course teaching, errata, and supplementary exercises, as well as answers to some exercises.
The study of nonlinear systems has recently garnered increasing attention, and many engineering schools abroad have adopted "Nonlinear Systems" as a graduate-level course for relevant disciplines. This book is a graduate textbook for the Department of Electrical and Computer Engineering at Michigan State University, USA. The content is divided into four parts based on the progression of mathematical knowledge. The Basic Analysis section introduces the basic concepts and fundamental analysis methods of nonlinear systems; the Feedback System Analysis section covers input-output stability, passivity, and frequency domain analysis of feedback systems; the Modern Analysis section presents the basic concepts of modern stability analysis, stability of perturbed systems, perturbation theory, averaging, and singular perturbation theory; the Nonlinear Feedback Control section introduces the basic concepts of feedback control and feedback linearization, and provides several nonlinear design tools, such as sliding mode control, Lyapunov redesign, backstepping, passivity-based control, and high-gain observers. Additionally, the appendix of this book compiles some mathematical knowledge used in the text, including a review of basic mathematics, the contraction mapping theorem, and some more complex theorem proofs. This book can serve as a textbook for graduate-level nonlinear system courses, as well as a self-study manual or reference for engineering professionals and applied mathematicians.