Design of Robust Passive Filter for Linear Uncertain Time-delay Systems

This paper deals with the robust passive filtering for a class of linear uncertain time-delay systems. The time-varying delay in the system is assumed to be bounded but unknown. The objective is to design linear memoryless filters such that for all uncertainties, the resulting augmented system is robust stable independent of delays and satisfies the proposed passive performance. Based on Lyapunov stability theory in time-delay systems, a sufficient condition on the existence of robust passive filters is derived. Robust passive filters are designed in terms of a set of coupled linear matrix inequalities. A numerical example is given to demonstrate the effect of the proposed approach.