A sliding mode approach to robust stabilisation of Markovian jump linear time-delay systems with generally incomplete transition rates

被引：91

作者：

Kao, Yonggui ^{[1
]}

Xie, Jing ^{[2
]}

Zhang, Lixian ^{[1
]}

Karimi, Hamid Reza ^{[3
]}

机构：

[1] Harbin Inst Technol, Dept Control Sci & Engn, Harbin 150001, Heilongjiang Pr, Peoples R China

[2] Ocean Univ China, Coll Informat Sci & Engn, Qingdao 266071, Peoples R China

[3] Univ Agder, Fac Sci & Technol, Dept Engn, N-4898 Grimstad, Norway

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2015年 / 17卷

基金：

中国国家自然科学基金;

关键词：

Markovian jump linear systems; Sliding mode control; Generally uncertain transition probabilities; Linear matrix inequality (LMI); Time delay; H-INFINITY; STOCHASTIC-SYSTEMS; STABILITY;

D O I：

10.1016/j.nahs.2015.03.001

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 is devoted to investigating the problem of robust sliding mode control for a class of uncertain Markovian jump linear time-delay systems with generally uncertain transition rates (GUTRs). In this GUTR model, each transition rate can be completely unknown or only its estimate value is known. By making use of linear matrix inequalities technique, sufficient conditions are presented to derive the linear switching surface and guarantee the stochastic stability of sliding mode dynamics. A sliding mode control law is developed to drive the state trajectory of the closed-loop system to the specified linear switching surface in a finite-time interval in spite of the existing uncertainties, time delays and unknown transition rates. Finally, an example is presented to verify the validity of the proposed method. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：70 / 80

页数：11

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