Sliding mode control for discrete-time descriptor Markovian jump systems with two Markov chains

被引：12
|
作者：
Zhang, Qingling [1 ,2 ]
Li, Jinghao [1 ,2 ]
Song, Zhongyan [1 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Liaoning, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China
来源：
OPTIMIZATION LETTERS | 2018年 / 12卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Descriptor systems; Markovian jump systems; Markov chain; Sliding surface; Sliding mode control; H-INFINITY CONTROL; BOUNDED REAL LEMMA; SINGULAR SYSTEMS; COMPENSATION CONTROL; ACTUATOR FAILURES; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; CONTROL DESIGN; STABILIZATION; STABILITY;
D O I：
10.1007/s11590-016-1085-6
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper investigates sliding mode control problems for discrete-time descriptor Markovian jump systems which are supposed to contain two mutually independent homogeneous Markov chains. Firstly, the stochastic admissibility of the system with two Markov chains is analyzed and several necessary and sufficient conditions are obtained. A mode-independent sliding surface is then constructed, the stability of sliding mode dynamics is analyzed and the sliding mode controller is synthesized to ensure the finite-time reachability of the predefined sliding surface. Since the sliding surface is mode-independent, the effects of the switchings between two sequential subsystems on the convergence of the sliding surface are avoided. Finally, a numerical example is presented to illustrate the effectiveness of the developed theoretical results.
引用
收藏
页码：1199 / 1213
页数：15
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