Robust non-fragile guaranteed cost control for singular Markovian jump time-delay systems

被引：11

作者：

Liu, Guobao ^{[1
]}

Wei, Yunliang ^{[2
]}

Ma, Qian ^{[1
]}

Lu, Junwei ^{[3
]}

Chu, Yuming ^{[4
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Jining, Peoples R China

[3] Nanjing Normal Univ, Sch Elect & Automat Engn, Nanjing, Jiangsu, Peoples R China

[4] Huzhou Teachers Coll, Sch Sci, Huzhou, Peoples R China

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2018年 / 40卷 / 07期

基金：

美国国家科学基金会;

关键词：

Singular Markovian jump systems; time-varying delays; proportional-derivative state feedback controller; non-fragile guaranteed cost control; linear matrix inequalities; H-INFINITY CONTROL; UNCERTAIN DESCRIPTOR SYSTEMS; DERIVATIVE STATE-FEEDBACK; SLIDING MODE CONTROL; VARYING DELAY; LINEAR-SYSTEMS; TRANSITION-PROBABILITIES; SUFFICIENT CONDITIONS; STABILIZATION; DISCRETE;

D O I：

10.1177/0142331217696144

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 deals with the problem of robust non-fragile guaranteed cost control for a class of uncertain singular Markovian jump systems with time-varying delays. The time-varying and norm-bounded parameter uncertainties exist in both the state matrix and the derivative matrix. A non-fragile proportional-derivative state feedback controller is designed to guarantee the closed-loop singular Markovian jump system is normal and robustly stochastically stable. By proposing an optimization strategy in the framework of linear matrix inequalities, the upper bound of the cost function can be minimized. Finally, a numerical example is given to demonstrate the effectiveness of the results.

引用

页码：2141 / 2150

页数：10

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