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Article: Robust stability of time-varying uncertain systems with rational dependence on the uncertainty
Title | Robust stability of time-varying uncertain systems with rational dependence on the uncertainty | ||||
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Authors | |||||
Keywords | Linear matrix inequality (LMI) robust stability square matrix representation (SMR) time-varying uncertainty uncertain system | ||||
Issue Date | 2010 | ||||
Publisher | IEEE | ||||
Citation | Ieee Transactions On Automatic Control, 2010, v. 55 n. 10, p. 2353-2357 How to Cite? | ||||
Abstract | Robust stability of time-varying uncertain systems is a key problem in automatic control. This note considers the case of linear systems with rational dependence on an uncertain time-varying vector constrained in a polytope, which is typically addressed in the literature by using the linear fractional representation (LFR). A novel sufficient condition for robust stability is derived in terms of a linear matrix inequality (LMI) feasibility test by exploiting homogeneous polynomial Lyapunov functions, the square matrix representation and an extended version of Polya's theorem which considers structured matrix polynomials. It is shown that this condition is also necessary for second-order systems, and that this condition is less conservative than existing LMI conditions based on the LFR for any order. © 2010 IEEE. | ||||
Persistent Identifier | http://hdl.handle.net/10722/135114 | ||||
ISSN | 2023 Impact Factor: 6.2 2023 SCImago Journal Rankings: 4.501 | ||||
ISI Accession Number ID |
Funding Information: Manuscript received September 24, 2009; revised December 12, 2009; accepted May 18, 2010. Date of publication June 21, 2010; date of current version October 06, 2010. This work was supported in part by the Research Grants Council of Hong Kong (Grant HKU711208E). Recommended by Associate Editor D. Arzelier. | ||||
References |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | en_HK |
dc.date.accessioned | 2011-07-27T01:28:29Z | - |
dc.date.available | 2011-07-27T01:28:29Z | - |
dc.date.issued | 2010 | en_HK |
dc.identifier.citation | Ieee Transactions On Automatic Control, 2010, v. 55 n. 10, p. 2353-2357 | en_HK |
dc.identifier.issn | 0018-9286 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/135114 | - |
dc.description.abstract | Robust stability of time-varying uncertain systems is a key problem in automatic control. This note considers the case of linear systems with rational dependence on an uncertain time-varying vector constrained in a polytope, which is typically addressed in the literature by using the linear fractional representation (LFR). A novel sufficient condition for robust stability is derived in terms of a linear matrix inequality (LMI) feasibility test by exploiting homogeneous polynomial Lyapunov functions, the square matrix representation and an extended version of Polya's theorem which considers structured matrix polynomials. It is shown that this condition is also necessary for second-order systems, and that this condition is less conservative than existing LMI conditions based on the LFR for any order. © 2010 IEEE. | en_HK |
dc.language | eng | en_US |
dc.publisher | IEEE | - |
dc.relation.ispartof | IEEE Transactions on Automatic Control | en_HK |
dc.rights | ©2010 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 | Linear matrix inequality (LMI) | en_HK |
dc.subject | robust stability | en_HK |
dc.subject | square matrix representation (SMR) | en_HK |
dc.subject | time-varying uncertainty | en_HK |
dc.subject | uncertain system | en_HK |
dc.title | Robust stability of time-varying uncertain systems with rational dependence on the uncertainty | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Chesi, G:chesi@eee.hku.hk | en_HK |
dc.identifier.authority | Chesi, G=rp00100 | en_HK |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1109/TAC.2010.2053470 | en_HK |
dc.identifier.scopus | eid_2-s2.0-77957723183 | en_HK |
dc.identifier.hkuros | 187527 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77957723183&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 55 | en_HK |
dc.identifier.issue | 10 | en_HK |
dc.identifier.spage | 2353 | en_HK |
dc.identifier.epage | 2357 | en_HK |
dc.identifier.isi | WOS:000283362600013 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Chesi, G=7006328614 | en_HK |
dc.identifier.issnl | 0018-9286 | - |