Description
Book SynopsisNonlinear systems with stationary sets are important because they cover a lot of practical systems in engineering. Previous analysis has been based on the frequency-domain for this class of systems. However, few results on robustness analysis and controller design for these systems are easily available.This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and single-output systems. The control methods presented in this book will be valuable for research on nonlinear systems with stationary sets.
Table of ContentsFormulation Related to Linear Matrix Inequality (LMI); LMI Approach to H Control and Positive Real Control; Absolute Stability and Dichotomy of Lur'e Systems; Pendulum-Like Feedback Systems; Synthesis of a Class of Nonlinear Pendulum-Like Systems; Controller Designs for Nonlinear Systems with Input Nonlinearities; Analysis and Control for a Class of Uncertain Nonlinear Systems; Interconnected Nonlinear Systems; Periodic Solutions in Pendulum-Like Systems; Nonlinear System Theorem with Stationary Sets -- Applications to Chua's Circuits.
