STABILIZATION OF DISCRETE-TIME MARKOVIAN JUMP SYSTEMS WITH PARTIALLY UNKNOWN TRANSITION PROBABILITIES

被引：5

作者：

Zhang, Qingling ^{[1
,2
]}

Wang, Guoliang ^{[3
]}

Liu, Wanquan ^{[4
]}

Zhang, Yi ^{[1
,2
]}

机构：

[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Liaoning, Peoples R China

[2] Northeastern Univ, Minist Educ, Key Lab Integrated Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China

[3] Liaoning Shihua Univ, Sch Informat & Control Engn, Fushun 113001, Liaoning, Peoples R China

[4] Curtin Univ Technol, Dept Comp, Perth, WA 6102, Australia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2011年 / 16卷 / 04期

关键词：

Markovian jump systems; Partially unknown transition probabilities; Time delay systems; Impulsive controllers; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILITY;

D O I：

10.3934/dcdsb.2011.16.1197

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the stabilization problem for a class of discrete-time Markovian jump system with partially unknown transition probabilities is investigated via using the time-delayed and impulsive controllers. As some elements in transition matrix are unknown, a new approach is proposed to estimate the unknown elements, in which an impulsive stabilizing controller depending on time delays and system mode is presented in terms of linear matrix inequalities (LMIs) with equality constraints. Especially, if there are no time delays and impulsive effects in the controller, it is derived that the conditions for the existence of H-infinity controller can be expressed by LMIs without equality constraints. Finally, illustrative examples are presented to show the benefits and the validity of the proposed approaches.

引用

页码：1197 / 1211

页数：15

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