A Descriptor System Approach to Sliding Mode Control for Uncertain Markov Jump Systems

被引:0
|
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, Montreal, PQ H3C 3A7, Canada
基金
中国国家自然科学基金;
关键词
VARIABLE-STRUCTURE CONTROL; H-INFINITY-CONTROL; LINEAR-SYSTEMS; STOCHASTIC-SYSTEMS; TIME;
D O I
暂无
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 descriptor 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.
引用
收藏
页码:182 / 187
页数:6
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