%0 Journal Article
%T New H∞ control approaches for interval time-delay systems with disturbances and their applications.
%A Bai Y
%A Li Z
%A Huang C
%J ISA Trans
%V 65
%N 0
%D Nov 2016
%M 27625172
%F 5.911
%R 10.1016/j.isatra.2016.08.011
%X In this paper, the H∞ performance and control problems for linear systems with interval state or input delays and disturbances are investigated. In order to exploit more information on the delay range, the quadruple -integral terms and quadratic forms of triple integrals are introduced into the Lyapunov-Krasovskii functional (LKF). Particularly, an improved integral inequality is developed for estimation of the cross terms in triple-integral type, which displays significant improvement over the Wirtinger inequality. As a result, a less conservative H∞ performance criterion is derived without requiring many slack variables. Based on the criterion, the H∞ controller design approaches are obtained. Besides the numerical examples, the applications to the practical systems are also provided to illustrate the effectiveness of the proposed approaches.