On sliding mode control of single input Markovian jump systems

	On sliding mode control of single input Markovian jump systems
	Zhu, Qing 1,2,5; Yu, Xinghuo 2; Song, Aiguo 1; Fei, Shumin 3; Cao, Zhiqiang4 ; Yang, Yuequan 5
发表期刊	AUTOMATICA
	2014-11-01
卷号	50 期号:11 页码:2897-2904
文章类型	Article
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.
关键词	Sliding Mode Control Markovian Jump System Conditional Probability Asymptotical Stability
WOS标题词	Science & Technology ; Technology
关键词[WOS]	DEPENDENT TIME-DELAYS ; STABILIZATION ; PROBABILITIES ; PARAMETERS
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000345727700016
引用统计	被引频次：24[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/3467
专题	复杂系统认知与决策实验室_先进机器人
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.