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Conference Paper: On the unstable of continuous-time linearized nonlinear systems

TitleOn the unstable of continuous-time linearized nonlinear systems
Authors
Issue Date2014
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 53rd IEEE Annual Conference on Decision and Control (CDC 2014), Los Angeles, CA., 15-17 December 2014. In Conference Proceedings, 2014, p. 2316-2321 How to Cite?
AbstractIt has been shown that quantifying the unstable in linear systems is important for establishing the existence of stabilizing feedback controllers. This paper addresses the problem of quantifying the unstable in continuous-time linearized systems obtained from nonlinear systems for a family of constant inputs, i.e., the largest instability measure for all admissible equilibrium points for all admissible constant inputs. It is supposed that the dynamics of the nonlinear system is polynomial in both state and input, and that the set of constant inputs is a semialgebraic set. Two cases are considered: first, when the equilibrium points are known polynomial functions of the input, and, second, when the equilibrium points are unknown (polynomial or non-polynomial) functions of the input. It is shown that upper bounds of the sought instability measure can be established through linear matrix inequalities (LMIs), whose conservatism can be decreased by increasing the size of such LMIs. Some numerical examples illustrate the proposed results. © 2014 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/211402
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChesi, G-
dc.date.accessioned2015-07-10T08:00:16Z-
dc.date.available2015-07-10T08:00:16Z-
dc.date.issued2014-
dc.identifier.citationThe 53rd IEEE Annual Conference on Decision and Control (CDC 2014), Los Angeles, CA., 15-17 December 2014. In Conference Proceedings, 2014, p. 2316-2321-
dc.identifier.isbn978-1-4673-6090-6-
dc.identifier.issn0191-2216-
dc.identifier.urihttp://hdl.handle.net/10722/211402-
dc.description.abstractIt has been shown that quantifying the unstable in linear systems is important for establishing the existence of stabilizing feedback controllers. This paper addresses the problem of quantifying the unstable in continuous-time linearized systems obtained from nonlinear systems for a family of constant inputs, i.e., the largest instability measure for all admissible equilibrium points for all admissible constant inputs. It is supposed that the dynamics of the nonlinear system is polynomial in both state and input, and that the set of constant inputs is a semialgebraic set. Two cases are considered: first, when the equilibrium points are known polynomial functions of the input, and, second, when the equilibrium points are unknown (polynomial or non-polynomial) functions of the input. It is shown that upper bounds of the sought instability measure can be established through linear matrix inequalities (LMIs), whose conservatism can be decreased by increasing the size of such LMIs. Some numerical examples illustrate the proposed results. © 2014 IEEE.-
dc.languageeng-
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. Proceedings-
dc.rightsIEEE Conference on Decision and Control. Proceedings. Copyright © Institute of Electrical and Electronics Engineers.-
dc.rights©2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleOn the unstable of continuous-time linearized nonlinear systems-
dc.typeConference_Paper-
dc.identifier.emailChesi, G: chesi@eee.hku.hk-
dc.identifier.authorityChesi, G=rp00100-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CDC.2014.7039741-
dc.identifier.scopuseid_2-s2.0-84931840877-
dc.identifier.hkuros245058-
dc.identifier.spage2316-
dc.identifier.epage2321-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 150710-

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