CASIA OpenIR  > 复杂系统管理与控制国家重点实验室  > 先进机器人
Sliding mode control of MIMO Markovian jump systems
Zhu, Jiaming1; Yu, Xinghuo2; Zhang, Tianping1; Cao, Zhiqiang3; Yang, Yuequan1; Yi, Yang1
Source PublicationAUTOMATICA
2016-06-01
Volume68Pages:286-293
SubtypeArticle
AbstractThis paper addresses the sliding mode control problem for uncertain MIMO linear Markovian jump systems. Firstly, by using the linear matrix inequality approach, sufficient conditions are proposed to guarantee the stochastically asymptotical stability of the system on the sliding surfaces. Secondly, an equivalent control based sliding mode control is proposed, such that the closed-loop system can be driven onto the desired sliding surfaces in a finite time. Finally, combining with multi-step state transition probability, the reaching and sliding probabilities are derived for situations where the control force may not be strong enough to ensure the fully asymptotical stability. Simulation results are presented to illustrate the effectiveness of the proposed design method. (C) 2016 Published by Elsevier Ltd.
KeywordSliding Mode Control Markovian Jump System Linear Matrix Inequality (Lmi) Conditional Probability Asymptotical Stability
WOS HeadingsScience & Technology ; Technology
DOI10.1016/j.automatica.2016.01.070
WOS KeywordITO STOCHASTIC-SYSTEMS ; DEPENDENT TIME-DELAYS ; H-INFINITY-CONTROL ; LINEAR-SYSTEMS ; TRANSITION-PROBABILITIES ; EXPONENTIAL STABILITY ; PARAMETERS ; STABILIZATION ; SUBJECT
Indexed BySCI
Language英语
Funding OrganizationNational Natural Science Foundation of China(61273352 ; Australian Research Council(DP130104765 ; 61573307 ; DP140100544) ; 61473249 ; 61473250 ; 61175111 ; 61203195)
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000375507600033
Citation statistics
Cited Times:13[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/11031
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, Coll Informat Engn, Yangzhou 225009, Jiangsu, Peoples R China
2.RMIT Univ, Melbourne, Vic, Australia
3.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. Sliding mode control of MIMO Markovian jump systems[J]. AUTOMATICA,2016,68:286-293.
APA Zhu, Jiaming,Yu, Xinghuo,Zhang, Tianping,Cao, Zhiqiang,Yang, Yuequan,&Yi, Yang.(2016).Sliding mode control of MIMO Markovian jump systems.AUTOMATICA,68,286-293.
MLA Zhu, Jiaming,et al."Sliding mode control of MIMO Markovian jump systems".AUTOMATICA 68(2016):286-293.
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