New H∞control approaches for interval time-delay systems with disturbances and their applications.
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.
School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China.
Yan
Y
Bai
School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China. Electronic address: zcl_ncepu@sina.cn.
Zhichen
Z
Li
School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China.
Congzhi
C
Huang
Disturbances; Enhanced triple-integral inequality; H(∞) state-feedback control; Lyapunov-Krasovskii functional; Time-delays