New results on H ∞ control of linear systems with interval time-varying delays

Abstract

This paper is focused on the H ∞ control problem for linear systems with interval time-varying delays. By employing a reciprocally convex combination approach and a delay decomposition approach, some new delay-dependent bounded real lemmas (BRLs) are derived such that the closed-loop system is asymptotically stable with a prescribed H ∞ level. The BRLs are then used to solve the H ∞ controller design by incorporating with the cone complementary approach. Three numerical examples are finally given to show the validity of the proposed method.