Sliding Mode Control of Singular Stochastic Markov Jump Systems

被引：194
|
作者：
Feng, Zhiguang [1 ,2 ]
Shi, Peng [1 ,2 ]
机构：
[1] Harbin Engn Univ, Coll Automat, Harbin 150001, Heilongjiang, Peoples R China
[2] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 08期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
Singular systems; sliding mode control (SMC); stochastic markov systems; TIME-DELAY SYSTEMS; H-INFINITY CONTROL; DESCRIPTOR SYSTEMS; POWER CONVERTERS; OBSERVER DESIGN; HYBRID SYSTEMS; STABILITY; PASSIVITY;
D O I：
10.1109/TAC.2017.2687048
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An investigation has been made into the sliding mode control (SMC) problem for singular stochastic Markov systems (SSMSs) in this paper. By using replacement of matrix variables, a new mean square admissibility criterion of SSMSs is proposed first. Based on this admissibility criterion, the desired state-feedback controller is designed to guarantee the closed-loop system to be mean-square admissible. Then, the obtained results given in the form of strict linear matrix inequalities are applied to solve SMC problem of SSMSs. In order to illustrate the workability and applicability of the theoretic results developed, numerical examples are provided.
引用
收藏
页码：4266 / 4273
页数：8
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