DELAY-DEPENDENT ROBUST H∞ FILTERING FOR INTERVAL SYSTEMS WITH STATE DELAYS

C.Y. Lu, J.S.H. Tsai, and T.J. Su

Keywords

H∞ filtering, linear matrix inequality, interval systems, time delay

Abstract

This paper deals with the problem of robust H∞ filtering for a class of linear continuous-time interval systems with delay dependence and structured uncertainties, which are not restricted to the matched uncertainty or the norm-bounded uncertainty. The problem aims at designing a stable linear filtering assuring asymptotic stability and a prescribed H∞ performance level for the filtering error system. A sufficient condition for the existence of such a filter is developed in terms of linear matrix inequalities. A numerical example demonstrates the validity of the newly developed theoretical results.

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