Extended dissipativity asynchronous static output feedback control of Markov jump systems

Abstract

This paper is concerned with both continuous- and discrete-time extended dissipativity-based control problems for Markov jump systems. Hidden Markov model is employed to describe the jump asynchronization behavior between the original system and the controller. Then, an asynchronous static output feedback controller is designed. By using the mode-dependent Lyapunov function technique with slack matrices, several sufficient conditions are obtained to ensure that the closed-loop systems are stochastically stable with extended dissipativity performance. Based on these conditions, solutions to the controller gains are derived. Finally, simulation results are presented to illustrate the feasibility and the effectiveness of the proposed approaches.