On sliding mode control of single input Markovian jump systems

CORC > 自动化研究所 > 中国科学院自动化研究所 > 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

	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
刊名	AUTOMATICA
	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
内容类型	期刊论文
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.