Delay-dependent H_∞ control for discrete-time markovian jump systems with time-varying delays and partly unknown transition probabilities

摘要

This paper is concerned with the H_∞ stabilization problem via dynamic output feedback controller for discrete-time Markovian jump systems (MJPSs) with time-varying delays and partly unknown transition probabilities. Sufficient delay-dependent stabilization conditions for the existence of output feedback controller are proposed in terms of linear matrix inequalities (LMIs) with equality constraints via a new technique to deal with the case where some elements in transition probability matrix are inaccessible. Since the obtained criteria are not strict LMI conditions, an effective algorithm is suggested to solve the matrix inequalities characterizing the output feedback controller solutions. Finally, illustrative examples are proposed to show the effectiveness of the proposed approach.