CASIA OpenIR  > 复杂系统管理与控制国家重点实验室  > 先进机器人
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
Source PublicationASIAN JOURNAL OF CONTROL
2016-07-01
Volume18Issue:4Pages:1385-1394
SubtypeArticle
AbstractThis 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.
KeywordTerminal Sliding Mode Control Markovian Jump System Mean-square Stability Conditional Probability
WOS HeadingsScience & Technology ; Technology
DOI10.1002/asjc.1208
WOS KeywordH-INFINITY-CONTROL ; ITO STOCHASTIC-SYSTEMS ; DEPENDENT TIME-DELAYS ; LINEAR-SYSTEMS ; TRANSITION-PROBABILITIES ; EXPONENTIAL STABILITY ; PARAMETERS ; STABILIZATION ; MANIPULATORS ; SUBJECT
Indexed BySCI
Language英语
Funding OrganizationNational Natural Science Foundation of China(61273352 ; Australian Research Council(DP130104765 ; 61473249 ; DP140100544) ; 61473250 ; 61175111 ; 61174046 ; 60904030)
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000383696100017
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/13376
Collection复杂系统管理与控制国家重点实验室_先进机器人
Affiliation1.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
Recommended Citation
GB/T 7714
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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