Analysis and Synthesis of Singular Systems

Analysis and Synthesis of Singular Systems provides a base for further theoretical research and a design guide for engineering applications of singular systems. The book presents recent advances in analysis and synthesis problems, including state-feedback control, static output feedback control, filtering, dissipative control, H∞ control, reliable control, sliding mode control and fuzzy control for linear singular systems and nonlinear singular systems. Less conservative and fresh novel techniques, combined with the linear matrix inequality (LMI) technique, the slack matrix method, and the reciprocally convex combination approach are applied to singular systems.

This book will be of interest to academic researchers, postgraduate and undergraduate students working in control theory and singular systems.

Discusses recent advances in analysis and synthesis problems for linear singular systems and nonlinear singular systemsOffers a base for further theoretical research as well as a design guide for engineering applications of singular systemsPresents several necessary and sufficient conditions for delay-free singular systems and some less conservative results for time-delay singular systems

1. Introduction 2. Dissipative Control and Filtering of Singular Systems 3. H∞ Control with Transients for Singular Systems 4. Delay-dependent Admissibility and H∞ Control of Discrete Singular Delay Systems 5. Delay-dependent Dissipativity Analysis and Synthesis of Singular Delay Systems 6. State-feedback Control for Singular Markovian Systems 7. Sliding Mode Control of Singular Stochastic Markov Jump Systems 8. Admissibility and Admissibilization for Fuzzy Singular Systems