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Conference Paper: On the robust stability of uncertain discrete-time networked control systems over fading channels

TitleOn the robust stability of uncertain discrete-time networked control systems over fading channels
Authors
Issue Date2015
PublisherAmerican Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030
Citation
The 2015 American Control Conference (ACC), Chicago, IL., 1-3 July 2015. In Conference Proceedings, 2015, p. 6010-6015 How to Cite?
AbstractThis paper addresses the problem of establishing robust stability in the mean square sense of uncertain discrete-time networked control systems over fading channels for all admissible uncertainties. It is supposed that the plant is connected to the controller in closed-loop via a fading channel which is modeled through noise processes in multiplicative form. The uncertainty is constrained into a convex bounded polytope and affects the plant whose coefficients are allowed to depend polynomially on the uncertainty. It is shown that robust stability of the uncertain closed-loop system in the mean square sense for all admissible uncertainties is equivalent to the existence of suitable Lyapunov functions with polynomial dependence on the uncertainty. It is also shown that a sufficient and necessary condition for establishing the existence of such Lyapunov functions can be obtained through convex optimization.
Persistent Identifierhttp://hdl.handle.net/10722/227526
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorSu, L-
dc.contributor.authorChesi, G-
dc.date.accessioned2016-07-18T09:11:15Z-
dc.date.available2016-07-18T09:11:15Z-
dc.date.issued2015-
dc.identifier.citationThe 2015 American Control Conference (ACC), Chicago, IL., 1-3 July 2015. In Conference Proceedings, 2015, p. 6010-6015-
dc.identifier.isbn978-1-4799-8685-9-
dc.identifier.issn0743-1619-
dc.identifier.urihttp://hdl.handle.net/10722/227526-
dc.description.abstractThis paper addresses the problem of establishing robust stability in the mean square sense of uncertain discrete-time networked control systems over fading channels for all admissible uncertainties. It is supposed that the plant is connected to the controller in closed-loop via a fading channel which is modeled through noise processes in multiplicative form. The uncertainty is constrained into a convex bounded polytope and affects the plant whose coefficients are allowed to depend polynomially on the uncertainty. It is shown that robust stability of the uncertain closed-loop system in the mean square sense for all admissible uncertainties is equivalent to the existence of suitable Lyapunov functions with polynomial dependence on the uncertainty. It is also shown that a sufficient and necessary condition for establishing the existence of such Lyapunov functions can be obtained through convex optimization.-
dc.languageeng-
dc.publisherAmerican Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030-
dc.relation.ispartofAmerican Control Conference Proceedings-
dc.titleOn the robust stability of uncertain discrete-time networked control systems over fading channels-
dc.typeConference_Paper-
dc.identifier.emailChesi, G: chesi@eee.hku.hk-
dc.identifier.authorityChesi, G=rp00100-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1109/ACC.2015.7172283-
dc.identifier.scopuseid_2-s2.0-84940945272-
dc.identifier.hkuros259217-
dc.identifier.spage6010-
dc.identifier.epage6015-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 160808-

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