Robust H∞ State Feedback Control Of Discrete-time Systems With State Delay: An Lmi Approach

dc.creatorLeite V.J.S.
dc.creatorTarbouriech S.
dc.creatorPeres P.L.D.
dc.date2009
dc.date2015-06-26T13:36:28Z
dc.date2015-11-26T15:36:42Z
dc.date2015-06-26T13:36:28Z
dc.date2015-11-26T15:36:42Z
dc.date.accessioned2018-03-28T22:45:10Z
dc.date.available2018-03-28T22:45:10Z
dc.identifier
dc.identifierIma Journal Of Mathematical Control And Information. , v. 26, n. 3, p. 357 - 373, 2009.
dc.identifier2650754
dc.identifier10.1093/imamci/dnp018
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-70349091470&partnerID=40&md5=0b7cd2da707dbf9475aa067ffd972cf0
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/92547
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/92547
dc.identifier2-s2.0-70349091470
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1263492
dc.descriptionIn this paper, uncertain discrete-time systems with delayed states are investigated. The uncertainty is supposed to belong to a known convex polytope and can affect all system matrices. Sufficient linear matrix inequality conditions are given for the computation of H∞-guaranteed costs and for the design of robust state feedback gains assuring an H∞ attenuation level. The conditions proposed here can assure robustness irrespective of the value of the delay and, differently from other approaches in the literature, are formulated as convex optimization problems. If the delay is known and the delayed states are available, a feedback gain depending on past values of the state can be used to improve the closed-loop performance of the system. As illustrated by numerical examples, including the model of an industrial electric heater, the proposed techniques are simple to be applied and can lead to less conservative results when compared with other conditions from the literature. © The author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
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dc.description357
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dc.languageen
dc.publisher
dc.relationIMA Journal of Mathematical Control and Information
dc.rightsfechado
dc.sourceScopus
dc.titleRobust H∞ State Feedback Control Of Discrete-time Systems With State Delay: An Lmi Approach
dc.typeArtículos de revistas


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