Robust H-infinity filtering for uncertain discrete-time switched singular systems with time-varying delays

The robust H_∞ filtering problem for uncertain discrete-time switched singular systems with time-varying delays is discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the filtering error system is transformed into a time-delay switched standard linear system, then the transformed system is discussed. As a result, a delay-dependent LMI condition is obtained, which guarantees that the filtering error system is regular, causal, uniformly asymptotically stable and satisfies H_∞ performance for all admissible uncertainties, and the method designing the filter is presented. A numerical example is given to illustrate the effectiveness of the proposed method.