Delay-dependent robust H∞ guaranteed cost filtering for uncertain systems with distributed delays

Abstract

In this paper, the problem of robust H∞ guaranteed cost filtering for uncertain systems with time-varying delays is firstly investigated. The systems are with both discrete delays and distributed delays, and the uncertainties are assumed to be norm-bounded. A delay-dependent robust H∞ guaranteed cost filter in terms of linear matrix inequalities (LMIs) is presented by using Lyapunov-Krasovskii theory.