Passivity-based synchronous control of Markov jump systems with actuator saturation

Abstract

In this article, the robust control problem of discrete-time Markov jump systems (MJSs) with actuator saturation is investigated via the passivity theory. Under the assumption of mode synchronization between the system and the controller, sufficient conditions are established to guarantee the system to be mean-square stable and stochastically passive in the domain of attraction via the saturation-dependent Lyapunov function approach and the linear matrix inequality (LMI) technique. The coupling between the system variables is decoupled, which greatly facilitates the design of the synchronization controller. Moreover, the estimation of the domain of attraction for the considered MJSs is accomplished through the solution of an optimization problem (OP). By degenerating the mode-dependent controller into its mode-independent counterpart, we derive sufficient conditions to ensure system robustness under the mode-independent control strategy, and then systematically summarize these conditions. Finally, the effectiveness of the proposed integrated design methodology is validated through numerical simulations.

Keywords

Markov jump systems / Synchronous controller / Actuator saturation / Passivity / Linear matrix inequalities

RIGHTS & PERMISSIONS

Zhejiang University Press