H∞ control of linear singular time-delay systems subject to impulsive perturbations

被引：31
作者：
Chen, Wu-Hua [1 ]
Jiang, Renhong [1 ]
Lu, Xiaomei [1 ]
Zheng, Wei Xing [2 ]
机构：
[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
[2] Univ Western Sydney, Sch Comp Engn & Math, Sydney, NSW 2751, Australia
来源：
IET CONTROL THEORY AND APPLICATIONS | 2017年 / 11卷 / 03期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
H control; linear systems; delay systems; perturbation techniques; Lyapunov methods; linear matrix inequalities; asymptotic stability; state feedback; closed loop systems; L-2-gain; internally exponentially stable system; impulse-free system; closed-loop system performance degradation; state-feedback controller; LMI; solvability; sufficient condition; descriptor-type impulse-time-dependent Lyapunov functional; impulsive perturbations; linear singular time-delay systems; DIFFERENTIAL-ALGEBRAIC EQUATIONS; ROBUST STABILIZATION; STABILITY; H-2;
D O I：
10.1049/iet-cta.2016.0166
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This study addresses the problem of H control for linear singular time-delay systems subject to impulsive perturbations. Specifically, the impulses are allowed to be destabilising, i.e. they may degrade the closed-loop performance of the considered systems. With the aid of a descriptor-type impulse-time-dependent Lyapunov functional, a sufficient condition for the solvability of the problem is derived in terms of linear matrix inequalities (LMIs). By solving a set of LMIs, a desired state-feedback controller is found, which guarantees that the closed-loop system is impulse-free, internally exponentially stable, and achieves a prescribed H-gain. Finally, three numerical examples are provided to demonstrate the effectiveness of the proposed method.
引用
收藏
页码：420 / 428
页数：9
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