On sliding mode control of single input Markovian jump systems

被引：24

作者：

Zhu, Qing ^{[1
,2
,5
]}

Yu, Xinghuo ^{[2
]}

Song, Aiguo ^{[1
]}

Fei, Shumin ^{[3
]}

Cao, Zhiqiang ^{[4
]}

Yang, Yuequan ^{[5
]}

机构：

[1] Southeast Univ, Sch Instrument Sci, Nanjing, Jiangsu, Peoples R China

[2] RMIT Univ, Melbourne, Vic, Australia

[3] Southeast Univ, Sch Automat, Nanjing, Jiangsu, Peoples R China

[4] Chinese Acad Sci, Inst Automat, Beijing, Peoples R China

[5] Yangzhou Univ, Coll Informat Engn, Yangzhou, Peoples R China

来源：

AUTOMATICA | 2014年 / 50卷 / 11期

基金：

澳大利亚研究理事会;

关键词：

Sliding mode control; Markovian jump system; Conditional probability; Asymptotical stability; STABILIZATION; SUBJECT;

D O I：

10.1016/j.automatica.2014.10.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, an equivalent control based sliding mode control is proposed for single input linear Markovian jump systems which guarantees the asymptotical stability. Furthermore, by using the stochastic system theory, a multi-step state transition conditional probability function is introduced for the continuous Markovian process, which is used to define the reaching and sliding probabilities. Furthermore, the formulas for calculating reaching and sliding probabilities are derived for situations where the control force may not be strong enough to ensure the fully asymptotical stability. Extensive simulations are conducted to validate the theoretical results and show the relationship between the control force and reaching and sliding probabilities. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：2897 / 2904

页数：8

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