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Article: Homogeneous Rational Lyapunov Functions for Performance Analysis of Switched Systems

TitleHomogeneous Rational Lyapunov Functions for Performance Analysis of Switched Systems
Authors
Issue Date2018
PublisherThe Society of Instrument and Control Engineers.
Citation
SICE International Symposium on Control Systems, 2018 How to Cite?
AbstractAn old open problem in continuous-time switched linear systems consists of determining the H2 norm and the root mean square (RMS) gain. Indeed, existing methods allow one to find only (generally) conservative upper bounds of these performance indexes. This talk addresses this problem by introducing a novel class of Lyapunov functions, called homogeneous rational Lyapunov functions (HRLFs). It is shown that sufficient conditions for establishing upper bounds of the sought performance indexes in the case of arbitrary switching can be given in terms of linear matrix inequality (LMI) feasibility tests by searching for an HRLF of chosen degree. Moreover, it is shown that these conditions are also necessary by searching for an HRLF of degree sufficiently large. Hence, the talk continues by considering the case of switching with dwell time constraints, showing that analogous LMI conditions can be obtained for this case by searching for a family of HRLFs mutually constrained by the dwell time specification.
DescriptionThe 2018 SICE International Symposium on Control Systems (SICE ISCS), Tokyo, Japan, 9-11 March 2018
Invited lecture
Persistent Identifierhttp://hdl.handle.net/10722/257448

 

DC FieldValueLanguage
dc.contributor.authorChesi, G-
dc.date.accessioned2018-08-03T01:58:04Z-
dc.date.available2018-08-03T01:58:04Z-
dc.date.issued2018-
dc.identifier.citationSICE International Symposium on Control Systems, 2018-
dc.identifier.urihttp://hdl.handle.net/10722/257448-
dc.descriptionThe 2018 SICE International Symposium on Control Systems (SICE ISCS), Tokyo, Japan, 9-11 March 2018-
dc.descriptionInvited lecture-
dc.description.abstractAn old open problem in continuous-time switched linear systems consists of determining the H2 norm and the root mean square (RMS) gain. Indeed, existing methods allow one to find only (generally) conservative upper bounds of these performance indexes. This talk addresses this problem by introducing a novel class of Lyapunov functions, called homogeneous rational Lyapunov functions (HRLFs). It is shown that sufficient conditions for establishing upper bounds of the sought performance indexes in the case of arbitrary switching can be given in terms of linear matrix inequality (LMI) feasibility tests by searching for an HRLF of chosen degree. Moreover, it is shown that these conditions are also necessary by searching for an HRLF of degree sufficiently large. Hence, the talk continues by considering the case of switching with dwell time constraints, showing that analogous LMI conditions can be obtained for this case by searching for a family of HRLFs mutually constrained by the dwell time specification.-
dc.languageeng-
dc.publisherThe Society of Instrument and Control Engineers. -
dc.relation.ispartofSICE International Symposium on Control Systems-
dc.titleHomogeneous Rational Lyapunov Functions for Performance Analysis of Switched Systems-
dc.typeArticle-
dc.identifier.emailChesi, G: chesi@eee.hku.hk-
dc.identifier.authorityChesi, G=rp00100-
dc.identifier.hkuros286381-
dc.publisher.placeJapan-

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