PROBABILITY ANALYSIS OF TERMINAL SLIDING MODE CONTROL OF SECOND-ORDER MARKOVIAN JUMP SYSTEMS
Zhu, Jiaming1; Yu, Xinghuo2; Zhang, Tianping3; Cao, Zhiqiang5; Yang, Yuequan3; Fang, Yu4
2016-07-01
发表期刊ASIAN JOURNAL OF CONTROL
卷号18期号:4页码:1385-1394
文章类型Article
摘要This paper explores the probability problems on terminal sliding mode control of second-order nonlinear continuous Markovian jump systems. An equivalent control based terminal sliding mode control scheme is proposed that can guarantee the systems' finite time mean-square stability. By introducing a multi-step transition conditional probability, the novel reaching and sliding probabilities are derived for the situations where the control force is not strong enough. This indicates that the reaching and sliding probabilities are both monotonically bounded non-decreasing non-negative piecewise right-continuous functions of the control parameter. A numerical example is given to show the feasibility of the theoretical results.
关键词Terminal Sliding Mode Control Markovian Jump System Mean-square Stability Conditional Probability
WOS标题词Science & Technology ; Technology
DOI10.1002/asjc.1208
关键词[WOS]H-INFINITY-CONTROL ; ITO STOCHASTIC-SYSTEMS ; DEPENDENT TIME-DELAYS ; LINEAR-SYSTEMS ; TRANSITION-PROBABILITIES ; EXPONENTIAL STABILITY ; PARAMETERS ; STABILIZATION ; MANIPULATORS ; SUBJECT
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 ; 61473249 ; DP140100544) ; 61473250 ; 61175111 ; 61174046 ; 60904030)
WOS研究方向Automation & Control Systems
WOS类目Automation & Control Systems
WOS记录号WOS:000383696100017
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/173211/13376
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, Platform Technol Res Inst, Melbourne, Vic, Australia
3.Yangzhou Univ, Coll Informat Engn, Yangzhou, Jiangsu, Peoples R China
4.Yangzhou Univ, Yangzhou, Jiangsu, Peoples R China
5.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing, Peoples R China
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Zhu, Jiaming,Yu, Xinghuo,Zhang, Tianping,et al. PROBABILITY ANALYSIS OF TERMINAL SLIDING MODE CONTROL OF SECOND-ORDER MARKOVIAN JUMP SYSTEMS[J]. ASIAN JOURNAL OF CONTROL,2016,18(4):1385-1394.
APA Zhu, Jiaming,Yu, Xinghuo,Zhang, Tianping,Cao, Zhiqiang,Yang, Yuequan,&Fang, Yu.(2016).PROBABILITY ANALYSIS OF TERMINAL SLIDING MODE CONTROL OF SECOND-ORDER MARKOVIAN JUMP SYSTEMS.ASIAN JOURNAL OF CONTROL,18(4),1385-1394.
MLA Zhu, Jiaming,et al."PROBABILITY ANALYSIS OF TERMINAL SLIDING MODE CONTROL OF SECOND-ORDER MARKOVIAN JUMP SYSTEMS".ASIAN JOURNAL OF CONTROL 18.4(2016):1385-1394.
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