The Mean-Square Stability Probability of H-infinity Control of Continuous Markovian Jump Systems

doi:10.1109/TAC.2015.2484357

	The Mean-Square Stability Probability of H-infinity Control of Continuous Markovian Jump Systems
	Zhu, Jiaming 1; Yu, Xinghuo 2; Zhang, Tianping 1; Cao, Zhiqiang3 ; Yang, Yuequan 1; Yi, Yang 1
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
	2016-07-01
卷号	61 期号:7 页码:1918-1924
文章类型	Article
摘要	In this technical note, H-infinity control problem of continuous Markovian jump systems is investigated. A linear feedback control scheme, combined with a state observer design, is proposed in the form of linear matrix inequalities, which can ensure the systems' mean-square stability with H-infinity performance. Then, a multistep state transition conditional probability function is introduced for the continuous Markovian process, which is used to define the system's mean-square stability probability. Furthermore, the formulas for calculating the mean-square stability probability are derived for situations where the control force may not be strong enough to ensure the full stability. Simulation results are presented to show the effectiveness of the theoretical results.
关键词	Conditional Probability H-infinity Control Markovian Jump System Mean-square Stability State Observer
WOS标题词	Science & Technology ; Technology
DOI	10.1109/TAC.2015.2484357
关键词[WOS]	SLIDING-MODE CONTROL ; ITO STOCHASTIC-SYSTEMS ; DEPENDENT TIME-DELAYS ; LINEAR-SYSTEMS ; EXPONENTIAL STABILITY ; DISCRETE-TIME ; PARAMETERS ; SUBJECT ; DESIGN ; FEEDBACK
收录类别	SCI
语种	英语
项目资助者	National Natural Science Foundation of China(61273352 ; Australian Research Council(DP130104765 ; 61573307 ; DP140100544) ; 61473249 ; 61473250 ; 61175111 ; 61203195)
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000380028700018
引用统计	被引频次：18[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/173211/12174
专题	复杂系统认知与决策实验室_先进机器人
作者单位	1.Yangzhou Univ, Dept Automat, Yangzhou, Jiangsu, Peoples R China 2.RMIT Univ, Melbourne, Vic 3000, Australia 3.Chinese Acad Sci, Inst Automat, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Jiaming,Yu, Xinghuo,Zhang, Tianping,et al. The Mean-Square Stability Probability of H-infinity Control of Continuous Markovian Jump Systems[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2016,61(7):1918-1924.
APA	Zhu, Jiaming,Yu, Xinghuo,Zhang, Tianping,Cao, Zhiqiang,Yang, Yuequan,&Yi, Yang.(2016).The Mean-Square Stability Probability of H-infinity Control of Continuous Markovian Jump Systems.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,61(7),1918-1924.
MLA	Zhu, Jiaming,et al."The Mean-Square Stability Probability of H-infinity Control of Continuous Markovian Jump Systems".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 61.7(2016):1918-1924.