Analysis and Synthesis of Singular Systems

Chapter 6: State-feedback control for singular Markovian systems

Abstract

In this chapter, we consider the problem of state-feedback control for continuous singular Markovian systems. Firstly, for delay-free singular Markovian systems, necessary and sufficient conditions are proposed for the system to be admissible and for the state-feedback controller design by applying equivalent sets technique. For time-delay singular Markovian systems, a new bounded real lemma is proposed and the corresponding $H_{\infty }$ control problem is studied. Secondly, we consider the problem of reliable dissipative control for continuous-time singular Markovian systems with actuator ...