File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

Conference Paper: Robust domain of attraction: computing and controlling estimates with non-polynomial Lyapunov functions

TitleRobust domain of attraction: computing and controlling estimates with non-polynomial Lyapunov functions
Authors
KeywordsControl problems
Eigenvalue problem
Equilibrium point
Estimation problem
Generalized eigenvalue problems
Issue Date2012
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000166
Citation
The 2012 IEEE International Conference on Control Applications (CCA 2012), Dubrovnik, Croatia, 3-5 October 2012. In IEEE CCA Proceedings, 2012, p. 1086-1091, article no. 6402371 How to Cite?
AbstractThis paper addresses the estimation and control of the robust domain of attraction (RDA) of equilibrium points through rational Lyapunov functions (LFs). Specifically, continuous-time uncertain polynomial systems are considered. The uncertainty is represented by a vector that affects poly-nomially the system and is constrained in a semialgebraic set. The estimation problem consists of computing the largest estimate of the RDA (LERDA) provided by a given rational LF. The control problem consists of computing a polynomial static output controller of given degree for maximizing such a LERDA. It is shown that lower bounds of the LERDA in the estimation problem, or the maximum achievable LERDA in the control problem, can be obtained by solving either an eigenvalue problem or a generalized eigenvalue problem with smaller dimension. The conservatism of these lower bounds can be reduced by increasing the degree of some multipliers introduced in the construction of the optimization problems. Some numerical examples illustrate the use of the proposed results. © 2012 IEEE.
Description2012 IEEE International Conference on Control Applications (CCA) is part of 2012 IEEE Multi-Conference on Systems and Control October 3-5, 2012. Dubrovnik, Croatia
Persistent Identifierhttp://hdl.handle.net/10722/184983
ISBN

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2013-07-15T10:22:16Z-
dc.date.available2013-07-15T10:22:16Z-
dc.date.issued2012en_US
dc.identifier.citationThe 2012 IEEE International Conference on Control Applications (CCA 2012), Dubrovnik, Croatia, 3-5 October 2012. In IEEE CCA Proceedings, 2012, p. 1086-1091, article no. 6402371en_US
dc.identifier.isbn978-14673-4503-3-
dc.identifier.urihttp://hdl.handle.net/10722/184983-
dc.description2012 IEEE International Conference on Control Applications (CCA) is part of 2012 IEEE Multi-Conference on Systems and Control October 3-5, 2012. Dubrovnik, Croatia-
dc.description.abstractThis paper addresses the estimation and control of the robust domain of attraction (RDA) of equilibrium points through rational Lyapunov functions (LFs). Specifically, continuous-time uncertain polynomial systems are considered. The uncertainty is represented by a vector that affects poly-nomially the system and is constrained in a semialgebraic set. The estimation problem consists of computing the largest estimate of the RDA (LERDA) provided by a given rational LF. The control problem consists of computing a polynomial static output controller of given degree for maximizing such a LERDA. It is shown that lower bounds of the LERDA in the estimation problem, or the maximum achievable LERDA in the control problem, can be obtained by solving either an eigenvalue problem or a generalized eigenvalue problem with smaller dimension. The conservatism of these lower bounds can be reduced by increasing the degree of some multipliers introduced in the construction of the optimization problems. Some numerical examples illustrate the use of the proposed results. © 2012 IEEE.-
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000166-
dc.relation.ispartofIEEE Conference on Control Applications (CCA) Proceedingsen_US
dc.rightsIEEE Conference on Control Applications (CCA) Proceedings. Copyright © IEEE.-
dc.rights©2012 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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectControl problems-
dc.subjectEigenvalue problem-
dc.subjectEquilibrium point-
dc.subjectEstimation problem-
dc.subjectGeneralized eigenvalue problems-
dc.titleRobust domain of attraction: computing and controlling estimates with non-polynomial Lyapunov functionsen_US
dc.typeConference_Paperen_US
dc.identifier.emailChesi, G: chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CCA.2012.6402371-
dc.identifier.scopuseid_2-s2.0-84873130556-
dc.identifier.hkuros216391en_US
dc.identifier.spage1086-
dc.identifier.epage1091-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 130718-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats