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Article: Analysis and synthesis of nonlinear systems with uncertain initial conditions
Title | Analysis and synthesis of nonlinear systems with uncertain initial conditions |
---|---|
Authors | |
Keywords | Bilinear matrix inequality (BMI) Nonlinear system Square matricial representation (SMR) Tightness Uncertain initial condition |
Issue Date | 2008 |
Publisher | IEEE. |
Citation | IEEE Transactions On Automatic Control, 2008, v. 53 n. 5, p. 1262-1267 How to Cite? |
Abstract | This technical note considers the problem of computing extremal values of the trajectories over a given set of initial conditions as well as finding output controllers minimizing these extremal values under time-domain constraints for nonlinear systems. It is shown that upper bounds of the sought extremal values as well as candidates of the sought controllers can be computed by solving a one-parameter sequence of bilinear matrix inequality (BMI) optimizations obtained through the square matricial representation (SMR) of polynomials. Moreover, a necessary and sufficient condition is proposed to establish the tightness of the found upper bound in spite of the conservatism introduced by the nonconvexity of BMI optimizations and the chosen degree of the Lyapunov function and relaxing polynomials. © 2008 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/57490 |
ISSN | 2023 Impact Factor: 6.2 2023 SCImago Journal Rankings: 4.501 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chesi, G | en_HK |
dc.contributor.author | Hung, YS | en_HK |
dc.date.accessioned | 2010-04-12T01:37:54Z | - |
dc.date.available | 2010-04-12T01:37:54Z | - |
dc.date.issued | 2008 | en_HK |
dc.identifier.citation | IEEE Transactions On Automatic Control, 2008, v. 53 n. 5, p. 1262-1267 | en_HK |
dc.identifier.issn | 0018-9286 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/57490 | - |
dc.description.abstract | This technical note considers the problem of computing extremal values of the trajectories over a given set of initial conditions as well as finding output controllers minimizing these extremal values under time-domain constraints for nonlinear systems. It is shown that upper bounds of the sought extremal values as well as candidates of the sought controllers can be computed by solving a one-parameter sequence of bilinear matrix inequality (BMI) optimizations obtained through the square matricial representation (SMR) of polynomials. Moreover, a necessary and sufficient condition is proposed to establish the tightness of the found upper bound in spite of the conservatism introduced by the nonconvexity of BMI optimizations and the chosen degree of the Lyapunov function and relaxing polynomials. © 2008 IEEE. | en_HK |
dc.language | eng | en_HK |
dc.publisher | IEEE. | en_HK |
dc.relation.ispartof | IEEE Transactions on Automatic Control | 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 | Bilinear matrix inequality (BMI) | en_HK |
dc.subject | Nonlinear system | en_HK |
dc.subject | Square matricial representation (SMR) | en_HK |
dc.subject | Tightness | en_HK |
dc.subject | Uncertain initial condition | en_HK |
dc.title | Analysis and synthesis of nonlinear systems with uncertain initial conditions | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0018-9286&volume=53&issue=5&spage=1262&epage=1267&date=2008&atitle=Analysis+and+synthesis+of+nonlinear+systems+with+uncertain+initial+conditions | en_HK |
dc.identifier.email | Chesi, G:chesi@eee.hku.hk | en_HK |
dc.identifier.email | Hung, YS:yshung@eee.hku.hk | en_HK |
dc.identifier.authority | Chesi, G=rp00100 | en_HK |
dc.identifier.authority | Hung, YS=rp00220 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1109/TAC.2008.921045 | en_HK |
dc.identifier.scopus | eid_2-s2.0-51749091087 | en_HK |
dc.identifier.hkuros | 151674 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-51749091087&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 53 | en_HK |
dc.identifier.issue | 5 | en_HK |
dc.identifier.spage | 1262 | en_HK |
dc.identifier.epage | 1267 | en_HK |
dc.identifier.isi | WOS:000258868400014 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Chesi, G=7006328614 | en_HK |
dc.identifier.scopusauthorid | Hung, YS=8091656200 | en_HK |
dc.identifier.issnl | 0018-9286 | - |