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Article: Global boundedness of discrete-time adaptive control just using estimator projection

TitleGlobal boundedness of discrete-time adaptive control just using estimator projection
Authors
KeywordsAdaptive Control
Control Theory
Parameter Estimation
Stability
Issue Date1992
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 1992, v. 28 n. 6, p. 1143-1157 How to Cite?
AbstractIn this paper, we study a discrete-time indirect adaptive control algorithm which contains a constrained gradient parameter estimator and a pole assignment control law synthesis module. This adaptive control algorithm does not involve modifications like data normalization, use of deadzones, or injection of persistently excited signals. Also it requires no a priori knowledge of system modelling errors. It is shown that global robustness properties still hold when this simple algorithm is applied to systems with bounded disturbances and arbitrarily small fast parasitic dynamics. The problem of indirect decentralized adaptive control of interconnected systems is also considered. We use the above adaptive algorithm to design completely decentralized local adaptive controllers for each isolated subsystem by ignoring interactions between subsystems. We show that the local controllers designed in this way are robust in the sense that all signals in the closed loop adaptive system are bounded for bounded initial conditions, reference inputs, disturbances and an arbitrarily small amount of interaction between subsystems and unmodelled dynamics of each subsystem.
Persistent Identifierhttp://hdl.handle.net/10722/169633
ISSN
2015 Impact Factor: 3.635
2015 SCImago Journal Rankings: 4.315
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWen, Cen_US
dc.contributor.authorHill, DJen_US
dc.date.accessioned2012-10-25T04:53:57Z-
dc.date.available2012-10-25T04:53:57Z-
dc.date.issued1992en_US
dc.identifier.citationAutomatica, 1992, v. 28 n. 6, p. 1143-1157en_US
dc.identifier.issn0005-1098en_US
dc.identifier.urihttp://hdl.handle.net/10722/169633-
dc.description.abstractIn this paper, we study a discrete-time indirect adaptive control algorithm which contains a constrained gradient parameter estimator and a pole assignment control law synthesis module. This adaptive control algorithm does not involve modifications like data normalization, use of deadzones, or injection of persistently excited signals. Also it requires no a priori knowledge of system modelling errors. It is shown that global robustness properties still hold when this simple algorithm is applied to systems with bounded disturbances and arbitrarily small fast parasitic dynamics. The problem of indirect decentralized adaptive control of interconnected systems is also considered. We use the above adaptive algorithm to design completely decentralized local adaptive controllers for each isolated subsystem by ignoring interactions between subsystems. We show that the local controllers designed in this way are robust in the sense that all signals in the closed loop adaptive system are bounded for bounded initial conditions, reference inputs, disturbances and an arbitrarily small amount of interaction between subsystems and unmodelled dynamics of each subsystem.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automaticaen_US
dc.relation.ispartofAutomaticaen_US
dc.subjectAdaptive Controlen_US
dc.subjectControl Theoryen_US
dc.subjectParameter Estimationen_US
dc.subjectStabilityen_US
dc.titleGlobal boundedness of discrete-time adaptive control just using estimator projectionen_US
dc.typeArticleen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/0005-1098(92)90056-Len_US
dc.identifier.scopuseid_2-s2.0-0026954392en_US
dc.identifier.volume28en_US
dc.identifier.issue6en_US
dc.identifier.spage1143en_US
dc.identifier.epage1157en_US
dc.identifier.isiWOS:A1992JZ78100004-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridWen, C=7201366998en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US

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