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Conference Paper: On the design of robust static output feedback controllers via robust stabilizability functions

TitleOn the design of robust static output feedback controllers via robust stabilizability functions
Authors
KeywordsUncertain systems
Robust control
LMI
Issue Date2013
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188
Citation
The 52nd IEEE Conference on Decision and Control (CDC 2013), Florence, Italy, 10-13 December 2013. In IEEE Conference on Decision and Control Proceedings, 2013, p. 3776-3781 How to Cite?
AbstractA key problem in control systems consists of designing robust stabilizing controllers for systems with parametric uncertainties, in particular output feedback controllers that, without requiring to measure the uncertainty, ensure robust stability of the closed-loop system. This paper aims to establish the existence of such a controller and, more generally, to determine a robust stabilizing controller that minimize a chosen cost. This problem is considered in this paper for systems whose coefficients are polynomial functions of an uncertain vector constrained into a semialgebraic set. The admissible controllers are those in a given hyper-rectangle for which the closed-loop system is well-posed. First, the class of robust stabilizability functions is introduced, i.e. the class of functions that, when evaluated for an admissible controller, are positive if and only if the controllers robustly stabilizes the system. Second, the approximation of a robust stabilizability function with a controller-dependent lower bound is proposed through a convex program exploiting a technique developed in the estimation of the robust domain of attraction. Third, the derivation of a robust stabilizing controller from the found controllerdependent lower bound is addressed through a second convex program that provides an upper bound of the optimal cost. ©2013 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/199363
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2014-07-22T01:15:37Z-
dc.date.available2014-07-22T01:15:37Z-
dc.date.issued2013en_US
dc.identifier.citationThe 52nd IEEE Conference on Decision and Control (CDC 2013), Florence, Italy, 10-13 December 2013. In IEEE Conference on Decision and Control Proceedings, 2013, p. 3776-3781en_US
dc.identifier.isbn978-1-4673-5717-3-
dc.identifier.issn0743-1546-
dc.identifier.urihttp://hdl.handle.net/10722/199363-
dc.description.abstractA key problem in control systems consists of designing robust stabilizing controllers for systems with parametric uncertainties, in particular output feedback controllers that, without requiring to measure the uncertainty, ensure robust stability of the closed-loop system. This paper aims to establish the existence of such a controller and, more generally, to determine a robust stabilizing controller that minimize a chosen cost. This problem is considered in this paper for systems whose coefficients are polynomial functions of an uncertain vector constrained into a semialgebraic set. The admissible controllers are those in a given hyper-rectangle for which the closed-loop system is well-posed. First, the class of robust stabilizability functions is introduced, i.e. the class of functions that, when evaluated for an admissible controller, are positive if and only if the controllers robustly stabilizes the system. Second, the approximation of a robust stabilizability function with a controller-dependent lower bound is proposed through a convex program exploiting a technique developed in the estimation of the robust domain of attraction. Third, the derivation of a robust stabilizing controller from the found controllerdependent lower bound is addressed through a second convex program that provides an upper bound of the optimal cost. ©2013 IEEE.-
dc.languageengen_US
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188-
dc.relation.ispartofIEEE Conference on Decision and Control Proceedingsen_US
dc.rightsIEEE Conference on Decision and Control Proceedings. Copyright © Institute of Electrical and Electronics Engineers.-
dc.rights©2013 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.subjectUncertain systems-
dc.subjectRobust control-
dc.subjectLMI-
dc.titleOn the design of robust static output feedback controllers via robust stabilizability 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/CDC.2013.6760465-
dc.identifier.scopuseid_2-s2.0-84901459358-
dc.identifier.hkuros230393en_US
dc.identifier.spage3776en_US
dc.identifier.epage3781en_US
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 140822-

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