Robust output feedback stabilization for uncertain discrete-time Markov jump descriptor systems with time-varying delays

Abstract

The robust output feedback stabilization problem for uncertain discrete-time Markov jump descriptor systems with time-varying delays is discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the discussed system is transformed into a discrete-time Markov jump standard linear system with time-varying delays. Then by discussing the transformed system, for full and partial knowledge of transition probabilities cases, the output feedback controller is obtained based on the linear matrix inequalities sufficient conditions which guarantee that the closed-loop system is regular, causal, robust stochastically stable. A numerical example is given to illustrate the effectiveness of the proposed method.