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- Publisher Website: 10.1109/TFUZZ.2006.879996
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Article: Control design for fuzzy systems based on relaxed nonquadratic stability and H∞ performance conditions
Title | Control design for fuzzy systems based on relaxed nonquadratic stability and H∞ performance conditions |
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Authors | |
Keywords | Basis-Dependent Lyapunov Function Discrete-Time Systems Fuzzy Systems H∞ Control Nonlinear Systems Nonquadratic Stability |
Issue Date | 2007 |
Citation | Ieee Transactions On Fuzzy Systems, 2007, v. 15 n. 2, p. 188-199 How to Cite? |
Abstract | In this paper, new approaches to H∞ controller design for a class of discrete-time nonlinear fuzzy systems are proposed based on a relaxed approach in which basis-dependent Lyapunov functions are used. First, two relaxed conditions of nonquadratic stability with H∞ norm bound are presented for this class of systems. The two relaxed conditions are shown to be useful in designing fuzzy control systems. By introducing some additional instrumental matrix variables, the two relaxed conditions are used to develop H∞ controllers. In the control design, the first relaxed condition has fewer inequality constraints, but only admits a common additional matrix variable while the second one can admit multiple additional matrix variables. Finally, two examples are given to demonstrate the applicability of the proposed approach. © 2007 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/156886 |
ISSN | 2023 Impact Factor: 10.7 2023 SCImago Journal Rankings: 4.204 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Zhou, S | en_US |
dc.contributor.author | Lam, J | en_US |
dc.contributor.author | Zheng, WX | en_US |
dc.date.accessioned | 2012-08-08T08:44:25Z | - |
dc.date.available | 2012-08-08T08:44:25Z | - |
dc.date.issued | 2007 | en_US |
dc.identifier.citation | Ieee Transactions On Fuzzy Systems, 2007, v. 15 n. 2, p. 188-199 | en_US |
dc.identifier.issn | 1063-6706 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156886 | - |
dc.description.abstract | In this paper, new approaches to H∞ controller design for a class of discrete-time nonlinear fuzzy systems are proposed based on a relaxed approach in which basis-dependent Lyapunov functions are used. First, two relaxed conditions of nonquadratic stability with H∞ norm bound are presented for this class of systems. The two relaxed conditions are shown to be useful in designing fuzzy control systems. By introducing some additional instrumental matrix variables, the two relaxed conditions are used to develop H∞ controllers. In the control design, the first relaxed condition has fewer inequality constraints, but only admits a common additional matrix variable while the second one can admit multiple additional matrix variables. Finally, two examples are given to demonstrate the applicability of the proposed approach. © 2007 IEEE. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | IEEE Transactions on Fuzzy Systems | en_US |
dc.subject | Basis-Dependent Lyapunov Function | en_US |
dc.subject | Discrete-Time Systems | en_US |
dc.subject | Fuzzy Systems | en_US |
dc.subject | H∞ Control | en_US |
dc.subject | Nonlinear Systems | en_US |
dc.subject | Nonquadratic Stability | en_US |
dc.title | Control design for fuzzy systems based on relaxed nonquadratic stability and H∞ performance conditions | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_US |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/TFUZZ.2006.879996 | en_US |
dc.identifier.scopus | eid_2-s2.0-34147109661 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-34147109661&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 15 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 188 | en_US |
dc.identifier.epage | 199 | en_US |
dc.identifier.isi | WOS:000245684800005 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Zhou, S=7404166480 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.scopusauthorid | Zheng, WX=7403566502 | en_US |
dc.identifier.issnl | 1063-6706 | - |