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Fuzzy adaptive finite-time control design for nontriangular stochastic nonlinear systems
Sui S.1,2; Chen C.L.P.2,3,4; Tong S.1
2019-01
Source PublicationIEEE Transactions on Fuzzy Systems
ISSN1063-6706
Volume27Issue:1Pages:172-184
Abstract

This paper solves the stochastically finite-time control problem for uncertain stochastic nonlinear systems in nontriangular form. The considered controlled plants are different from the previous results of finite-time control systems, which are the multiple-input and multiple-output (MIMO) stochastic systems with the unknown functions consisting of all states, stochastic disturbance, and immeasurable states. Fuzzy logic systems and a state filter are used to model the uncertain systems and estimate the immeasurable states, respectively. Based on the finite-time theory and It o differential equation, a novel stochastically finite-time stability theorem is first raised. By combining the novel criterion and backstepping technique, an adaptive fuzzy stochastically finite-time control method is proposed. It is testified that all signals in the closed-loop signals are semiglobal finite-time stable in probability, and the tracking performances are well. Simulation example results further show the effectiveness of the proposed approach.

KeywordMultiple-input And Multiple-output (Mimo) Stochastic Nonlinear Systems Nontriangular Form State Filter Stochastically Finite-time Control
DOI10.1109/TFUZZ.2018.2882167
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS IDWOS:000455193700014
Scopus ID2-s2.0-85056744732
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Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF COMPUTER AND INFORMATION SCIENCE
Corresponding AuthorChen C.L.P.
Affiliation1.Liaoning Univ Technol, Coll Sci, Jinzhou 121001, Peoples R China
2.Univ Macau, Fac Sci & Technol, Dept Comp & Informat Sci, Macau 999078, Peoples R China
3.Dalian Maritime Univ, Dalian 116026, Peoples R China
4.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100080, Peoples R China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Sui S.,Chen C.L.P.,Tong S.. Fuzzy adaptive finite-time control design for nontriangular stochastic nonlinear systems[J]. IEEE Transactions on Fuzzy Systems, 2019, 27(1), 172-184.
APA Sui S.., Chen C.L.P.., & Tong S. (2019). Fuzzy adaptive finite-time control design for nontriangular stochastic nonlinear systems. IEEE Transactions on Fuzzy Systems, 27(1), 172-184.
MLA Sui S.,et al."Fuzzy adaptive finite-time control design for nontriangular stochastic nonlinear systems".IEEE Transactions on Fuzzy Systems 27.1(2019):172-184.
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