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Article: H∞ fuzzy filtering of nonlinear systems with intermittent measurements
Title | H∞ fuzzy filtering of nonlinear systems with intermittent measurements | ||||||||||||||||
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Authors | |||||||||||||||||
Keywords | Basis-dependent Lyapunov function H∞ filter design Intermittent measurements Nonlinear systems Takagi-Sugeno (T-S) fuzzy systems | ||||||||||||||||
Issue Date | 2009 | ||||||||||||||||
Publisher | IEEE. | ||||||||||||||||
Citation | Ieee Transactions On Fuzzy Systems, 2009, v. 17 n. 2, p. 291-300 How to Cite? | ||||||||||||||||
Abstract | This paper is concerned with the problem of H∞ fuzzy filtering of nonlinear systems with intermittent measurements. The nonlinear plant is represented by a Takagi-Sugeno (T-S) fuzzy model. The measurements transmission from the plant to the filter is assumed to be imperfect, and a stochastic variable satisfying the Bernoulli random binary distribution is utilized to model the phenomenon of the missing measurements. Attention is focused on the design of an H∞ filter such that the filter error system is stochastically stable and preserves a guaranteed H∞ performance. A basis-dependent Lyapunov function approach is developed to design the H∞ filter. By introducing some slack matrix variables, the coupling between the Lyapunov matrix and the system matrices is eliminated, which greatly facilitates the filter-design procedure. The developed theoretical results are in the form of linear matrix inequalities (LMIs). Finally, an illustrative example is provided to show the effectiveness of the proposed approach. © 2009 IEEE. | ||||||||||||||||
Persistent Identifier | http://hdl.handle.net/10722/59093 | ||||||||||||||||
ISSN | 2023 Impact Factor: 10.7 2023 SCImago Journal Rankings: 4.204 | ||||||||||||||||
ISI Accession Number ID |
Funding Information: Manuscript received May 8, 2007; revised July 16, 2007. First published April 30, 2008; current version published April 1, 2009. This work was supported in part by the National Natural Science Foundation of China (60825303, 60834003), in part by the 973 Project (2009CB320600), in part by the Research Fund for the Doctoral Programme of Higher Education of China (20070213084), in part by the Heilongjiang Outstanding Youth Science Fund (JC200809), in part by the Postdoctoral Science Foundation of China (200801282), in part by the Fok Ying Tung Education Foundation (111064), and in part by HKU CRCG 200707176077. | ||||||||||||||||
References | |||||||||||||||||
Grants |
DC Field | Value | Language |
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dc.contributor.author | Gao, H | en_HK |
dc.contributor.author | Zhao, Y | en_HK |
dc.contributor.author | Lam, J | en_HK |
dc.contributor.author | Chen, K | en_HK |
dc.date.accessioned | 2010-05-31T03:42:45Z | - |
dc.date.available | 2010-05-31T03:42:45Z | - |
dc.date.issued | 2009 | en_HK |
dc.identifier.citation | Ieee Transactions On Fuzzy Systems, 2009, v. 17 n. 2, p. 291-300 | en_HK |
dc.identifier.issn | 1063-6706 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/59093 | - |
dc.description.abstract | This paper is concerned with the problem of H∞ fuzzy filtering of nonlinear systems with intermittent measurements. The nonlinear plant is represented by a Takagi-Sugeno (T-S) fuzzy model. The measurements transmission from the plant to the filter is assumed to be imperfect, and a stochastic variable satisfying the Bernoulli random binary distribution is utilized to model the phenomenon of the missing measurements. Attention is focused on the design of an H∞ filter such that the filter error system is stochastically stable and preserves a guaranteed H∞ performance. A basis-dependent Lyapunov function approach is developed to design the H∞ filter. By introducing some slack matrix variables, the coupling between the Lyapunov matrix and the system matrices is eliminated, which greatly facilitates the filter-design procedure. The developed theoretical results are in the form of linear matrix inequalities (LMIs). Finally, an illustrative example is provided to show the effectiveness of the proposed approach. © 2009 IEEE. | en_HK |
dc.language | eng | en_HK |
dc.publisher | IEEE. | en_HK |
dc.relation.ispartof | IEEE Transactions on Fuzzy Systems | en_HK |
dc.rights | ©2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. | - |
dc.subject | Basis-dependent Lyapunov function | en_HK |
dc.subject | H∞ filter design | en_HK |
dc.subject | Intermittent measurements | en_HK |
dc.subject | Nonlinear systems | en_HK |
dc.subject | Takagi-Sugeno (T-S) fuzzy systems | en_HK |
dc.title | H∞ fuzzy filtering of nonlinear systems with intermittent measurements | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1063-6706&volume=17&issue=2&spage=291&epage=300&date=2009&atitle=H∞+fuzzy+filtering+of+nonlinear+systems+with+intermittent+measurements | en_HK |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_HK |
dc.identifier.authority | Lam, J=rp00133 | en_HK |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1109/TFUZZ.2008.924206 | en_HK |
dc.identifier.scopus | eid_2-s2.0-65549112650 | en_HK |
dc.identifier.hkuros | 164241 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-65549112650&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 17 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 291 | en_HK |
dc.identifier.epage | 300 | en_HK |
dc.identifier.isi | WOS:000265089700004 | - |
dc.publisher.place | United States | en_HK |
dc.relation.project | Fuzzy Control of Nonlinear Systems with Unreliable Communication Links | - |
dc.identifier.scopusauthorid | Gao, H=7402971422 | en_HK |
dc.identifier.scopusauthorid | Zhao, Y=14059237200 | en_HK |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_HK |
dc.identifier.scopusauthorid | Chen, K=7410240709 | en_HK |
dc.identifier.citeulike | 5950670 | - |
dc.identifier.issnl | 1063-6706 | - |