Robust output feedback stabilization for uncertain discrete-time Markov jump singular systems

The robust output feedback stabilization problem for discrete-time Markov jump singular systems with parameter uncertainties is discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the singular system is transformed into a discrete-time Markov jump standard linear system, then by discussing the transformed system, the output feedback controller is obtained in terms of the linear matrix inequalities condition which guarantees that the closed-loop system is regular, causal, robust stochastically stable, the output feedback controller obtained can be reduced order. A numerical example illustrates the effectiveness of the method given in the paper.