Guaranteed cost control of linear uncertain time-delay switched singular systems based on an LMI approach

被引：13

作者：

Tian, Xuemin ^{[1
]}

Li, Chun-ming ^{[1
]}

Chen, Sheng ^{[2
,3
]}

机构：

[1] China Univ Petr, Coll Informat & Control Engn, Dongying 257061, Peoples R China

[2] Univ Southampton, Fac Phys & Appl Sci, Elect & Comp Sci, Southampton SO17 1BJ, Hants, England

[3] King Abdulaziz Univ, Fac Engn, Jeddah 21589, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL | 2012年 / 17卷 / 02期

关键词：

switched singular system; uncertainty; time-delay; guaranteed cost control; linear matrix inequality;

D O I：

10.1504/IJMIC.2012.048917

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 contribution considers the guaranteed cost control for a class of linear uncertain time-delay switched singular systems under arbitrary switching laws with a given quadratic performance index. Based on a Lyapunov function approach and a linear matrix inequality (LMI) technique, a sufficient condition on the existence of guaranteed cost state feedback controllers is derived, which ensures that the uncertain time-delay switched singular system is admissible and a desired level of cost index can be guaranteed. The design problem of guaranteed cost controller is turned into the solvable problem of a set of LMIs. A numerical example is given to show the effectiveness and feasibility of the presented method.

引用

页码：109 / 115

页数：7

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