Non-fragile reliable D-stabilization for delta operator switched linear systems

被引：7

作者：

Hu, Hao ^{[1
]}

Jiang, Bin ^{[1
,2
]}

Yang, Hao ^{[1
,2
]}

Shumsky, Alexey ^{[3
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 211106, Jiangsu, Peoples R China

[2] State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China

[3] Russian Acad Sci, Far Eastern Branch, Inst Appl Math, Vladivostok 690091, Russia

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 09期

关键词：

ROBUST D-STABILITY; TIME-DELAY SYSTEMS; H-INFINITY CONTROL; POLE ASSIGNMENT; UNCERTAIN SYSTEMS; CONTROLLER-DESIGN; PLACEMENT; DISK;

D O I：

10.1016/j.jfranklin.2016.03.008

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 paper is concerned with the non-fragile reliable D-stabilization problem of a class of delta operator switched linear systems with actuator faults, in terms of linear matrix inequalities (LMIs). Firstly, to handle the determination problem of the decay rate of a delta operator system in the process of D-stabilizing, the theory of first-order LMI regions is proposed. Secondly, to deal with the uncertain matrices multiplication phenomenon appearing in non-fragile reliable control, a new approach is proposed. Based on the average dwell time technique and the two new methods mentioned above, the state feedback controller and the switching law are designed to guarantee that all the closed-loop poles of each mode lie in a specified disk and the closed-loop switched system is exponentially stable. Finally, the validity and feasibility of the proposed approach are illustrated by a flight control system example. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1931 / 1956

页数：26

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