Abstract:

The problem of robust H∞ filter design for discrete-time singular switched systems with parametric uncertainties and time-varying delays is discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the singular filtering error system is transformed into a time-delay standard switched system. The transformed system is then discussed by constructing a novel Lyapunov—Krasovskii functional. A sufficient condition for the filtering error system to be regular, causal and uniformly asymptotically stable and to satisfy H∞ performance for all admissible uncertainties is established in terms of linear matrix inequalities (LMIs), and the corresponding filter design is derived. The obtained results are less conservative. A numerical example is given which illustrates the effectiveness of the new theory.

Key words:  H∞ filter; discrete-time singular switched system; time-varying delay; uncertain; linear matrix inequality(LMI)