Sliding mode control for singular stochastic Markovian jump systems with uncertainties

被引：118
|
作者：
Zhang, Qingling [1 ,2 ,4 ]
Li, Li [1 ]
Yan, Xing-Gang [2 ]
Spurgeon, Sarah K. [3 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Liaoning, Peoples R China
[2] Univ Kent, Instrumentat Control & Embedded Syst Res Grp, Sch Engn & Digital Arts, Canterbury CT2 7NT, Kent, England
[3] UCL, Dept Elect & Elect Engn, London WC1E 7JE, England
[4] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China
来源：
AUTOMATICA | 2017年 / 79卷
关键词：
Singular systems; Stochastic systems; Markovian jump systems; Sliding mode control; FAULT-TOLERANT CONTROL; DELAY; STABILITY;
D O I：
10.1016/j.automatica.2017.01.002
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 considers sliding mode control design for singular stochastic Markovian jump systems with uncertainties. A suitable integral sliding function is proposed and the resulting sliding mode dynamics is an uncertain singular stochastic Markovian jump system. A set of new sufficient conditions is developed which not only guarantees the stochastic admissibility of the sliding mode dynamics, but also determines all the parameter matrices in the integral sliding function. Then, a sliding mode control law is synthesized such that reachability of the specified sliding surface can be ensured. Finally, three examples are given to demonstrate the effectiveness of the results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：27 / 34
页数：8
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