Nonlinear 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.
Contents: Linear Systems and Linear Matrix Inequalities; LMI Approach to H Control; Analysis and Control of Positive Real Systems; Absolute Stability and Dichotomy of Lur e Systems; Pendulum-Like Feedback Systems; Controller Design for a Class of Pendulum-Like Systems; Controller Designs for Systems with Input Nonlinearities; Analysis and Control for Uncertain Feedback Nonlinear Systems; Control of Periodic Oscillations in Nonlinear Systems; Interconnected Systems; Chua s Circuits.