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On sliding mode control of single input Markovian jump systems

文献类型：期刊论文

作者Zhu, Qing1,2,5; Yu, Xinghuo2; Song, Aiguo1; Fei, Shumin3; Cao, Zhiqiang4; Yang, Yuequan5
刊名AUTOMATICA
出版日期2014-11-01
卷号50期号:11页码:2897-2904
关键词Sliding mode control Markovian jump system Conditional probability Asymptotical stability
英文摘要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.
WOS标题词Science & Technology ; Technology
类目[WOS]Automation & Control Systems ; Engineering, Electrical & Electronic
研究领域[WOS]Automation & Control Systems ; Engineering
关键词[WOS]DEPENDENT TIME-DELAYS ; STABILIZATION ; PROBABILITIES ; PARAMETERS
收录类别SCI
语种英语
WOS记录号WOS:000345727700016
源URL[http://ir.ia.ac.cn/handle/173211/3467]  
专题自动化研究所_复杂系统管理与控制国家重点实验室_先进机器人控制团队
作者单位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
推荐引用方式
GB/T 7714		 Zhu, Qing,Yu, Xinghuo,Song, Aiguo,et al. On sliding mode control of single input Markovian jump systems[J]. AUTOMATICA,2014,50(11):2897-2904.
APA Zhu, Qing,Yu, Xinghuo,Song, Aiguo,Fei, Shumin,Cao, Zhiqiang,&Yang, Yuequan.(2014).On sliding mode control of single input Markovian jump systems.AUTOMATICA,50(11),2897-2904.
MLA Zhu, Qing,et al."On sliding mode control of single input Markovian jump systems".AUTOMATICA 50.11(2014):2897-2904.

入库方式： OAI收割

来源：自动化研究所

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