Robust Passification of Uncertain Linear Systems with State Delay

This paper deals with the passification problem of a class of uncertain linear systems with time delay. The time delay is assumed to be unknown and the system under consideration is subjected to time-varying norm-bounded parameter uncertainties in the state matrices. Attention is focused on the design of a state-feedback controller which guarantees the passivity of the closed-loop system for all admissible uncertainties. The gain of this controller is the solution of some linear matrix inequalities (LMIs). The numerical example demonstrates the validity and applicability of present approach.