Disturbance-observer-based control for time-delay Markovian jump systems subject to actuator saturation

This paper is concerned with disturbance-observer-based control for Markovian jump systems with time delay and actuator saturation. By virtue of the disturbance-observer-based control technique and an appropriate mode-dependent Lyapunov–Krasovskii functional, an anti-disturbance controller is designed to ensure that the resulting closed-loop systems are stochastically stable, as well as estimation of the domain of attraction. Furthermore, an iterative optimization method is proposed to acquire the maximum estimate of the domain of attraction by solving a set of linear matrix inequalities. Finally, a simulation illustrates the effectiveness of the proposed schemes.