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Article: Stabilization for T-S model based uncertain stochastic systems
Title | Stabilization for T-S model based uncertain stochastic systems | ||||||
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Authors | |||||||
Keywords | Fuzzy system Stochastic stability Stochastic system Uncertain system Wiener process | ||||||
Issue Date | 2011 | ||||||
Publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/ins | ||||||
Citation | Information Sciences, 2011, v. 181 n. 4, p. 779-791 How to Cite? | ||||||
Abstract | This paper considers the stabilization problem of a class of uncertain Itô stochastic fuzzy systems driven by a multidimensional Wiener process. The uncertainty modeled in the systems is of the linear fractional type which includes the norm-bounded uncertainty as a special case. The objective is to design a state-feedback fuzzy controller such that the closed-loop system is robustly asymptotically stable under a stochastic setting. By using a stochastic Lyapunov approach, sufficiency conditions for the stability and stabilization of this class of systems are established based on a novel matrix decomposition technique. The derived stability conditions are then employed to design controllers which stabilize the uncertain Itô stochastic fuzzy systems. Two simulation examples are given to illustrate the effectiveness of the approaches proposed. © 2010 Elsevier Inc. All rights reserved. | ||||||
Persistent Identifier | http://hdl.handle.net/10722/139428 | ||||||
ISSN | 2022 Impact Factor: 8.1 2023 SCImago Journal Rankings: 2.238 | ||||||
ISI Accession Number ID |
Funding Information: This work was supported in part by the National Natural Science Foundation of PR China under Grants 60974006 and 60934009, the 973 program No 2009CB320600, and the GRF Grant under HKU 7137/09E. | ||||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhou, S | en_HK |
dc.contributor.author | Ren, W | en_HK |
dc.contributor.author | Lam, J | en_HK |
dc.date.accessioned | 2011-09-23T05:49:24Z | - |
dc.date.available | 2011-09-23T05:49:24Z | - |
dc.date.issued | 2011 | en_HK |
dc.identifier.citation | Information Sciences, 2011, v. 181 n. 4, p. 779-791 | en_HK |
dc.identifier.issn | 0020-0255 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/139428 | - |
dc.description.abstract | This paper considers the stabilization problem of a class of uncertain Itô stochastic fuzzy systems driven by a multidimensional Wiener process. The uncertainty modeled in the systems is of the linear fractional type which includes the norm-bounded uncertainty as a special case. The objective is to design a state-feedback fuzzy controller such that the closed-loop system is robustly asymptotically stable under a stochastic setting. By using a stochastic Lyapunov approach, sufficiency conditions for the stability and stabilization of this class of systems are established based on a novel matrix decomposition technique. The derived stability conditions are then employed to design controllers which stabilize the uncertain Itô stochastic fuzzy systems. Two simulation examples are given to illustrate the effectiveness of the approaches proposed. © 2010 Elsevier Inc. All rights reserved. | en_HK |
dc.language | eng | en_US |
dc.publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/ins | en_HK |
dc.relation.ispartof | Information Sciences | en_HK |
dc.subject | Fuzzy system | en_HK |
dc.subject | Stochastic stability | en_HK |
dc.subject | Stochastic system | en_HK |
dc.subject | Uncertain system | en_HK |
dc.subject | Wiener process | en_HK |
dc.title | Stabilization for T-S model based uncertain stochastic systems | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_HK |
dc.identifier.authority | Lam, J=rp00133 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.ins.2010.11.002 | en_HK |
dc.identifier.scopus | eid_2-s2.0-78649861588 | en_HK |
dc.identifier.hkuros | 196468 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-78649861588&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 181 | en_HK |
dc.identifier.issue | 4 | en_HK |
dc.identifier.spage | 779 | en_HK |
dc.identifier.epage | 791 | en_HK |
dc.identifier.isi | WOS:000286542600006 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Zhou, S=7404166480 | en_HK |
dc.identifier.scopusauthorid | Ren, W=35620802900 | en_HK |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_HK |
dc.identifier.citeulike | 8231473 | - |
dc.identifier.issnl | 0020-0255 | - |