A singular system approach to robust sliding mode control for uncertain Markov jump systems

被引：101
|
作者：
Ma, Shuping [1 ]
Boukas, El-Kebir [2 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Ecole Polytech, Dept Mech Engn, Stn Ctr Ville, Montreal, PQ H3C 3A7, Canada
来源：
AUTOMATICA | 2009年 / 45卷 / 11期
关键词：
Markov jump system; Singular system approach; Sliding mode control; VARIABLE-STRUCTURE CONTROL; H-INFINITY-CONTROL; TIME-VARYING DELAY; LINEAR-SYSTEMS; STOCHASTIC-SYSTEMS; PARAMETERS;
D O I：
10.1016/j.automatica.2009.07.027
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The robust sliding mode control for Markov jump systems with parameter uncertainties and an unknown nonlinear function is discussed. Based on a singular system approach and linear matrix inequality (LMI), a sufficient condition which guarantees the existence of linear switching surface and the stochastic stability of sliding mode dynamics is given, A sliding mode controller is designed such that the closed-loop system is convergent to the switching surface in finite time. A numerical example is given to show the effectiveness of the proposed method. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2707 / 2713
页数：7
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