The Mean-Square Stability Probability of H-infinity Control of Continuous Markovian Jump Systems
Zhu, Jiaming1; Yu, Xinghuo2; Zhang, Tianping1; Cao, Zhiqiang3; Yang, Yuequan1; Yi, Yang1
2016-07-01
发表期刊IEEE TRANSACTIONS ON AUTOMATIC CONTROL
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
DOI10.1109/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:2[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
专题复杂系统管理与控制国家重点实验室_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
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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.
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