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Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: Stability and moving-horizon approximations

dc.contributor.authorKeerthi, S. S.en_US
dc.contributor.authorGilbert, Elmer Granten_US
dc.date.accessioned2006-09-11T15:49:34Z
dc.date.available2006-09-11T15:49:34Z
dc.date.issued1988-05en_US
dc.identifier.citationKeerthi, S. S.; Gilbert, E. G.; (1988). "Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: Stability and moving-horizon approximations." Journal of Optimization Theory and Applications 57(2): 265-293. <http://hdl.handle.net/2027.42/45231>en_US
dc.identifier.issn0022-3239en_US
dc.identifier.issn1573-2878en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/45231
dc.description.abstractStability results are given for a class of feedback systems arising from the regulation of time-varying discrete-time systems using optimal infinite-horizon and moving-horizon feedback laws. The class is characterized by joint constraints on the state and the control, a general nonlinear cost function and nonlinear equations of motion possessing two special properties. It is shown that weak conditions on the cost function and the constraints are sufficient to guarantee uniform asymptotic stability of both the optimal infinite-horizon and moving-horizon feedback systems. The infinite-horizon cost associated with the moving-horizon feedback law approaches the optimal infinite-horizon cost as the moving horizon is extended.en_US
dc.format.extent1537371 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Mediaen_US
dc.subject.otherOptimizationen_US
dc.subject.otherInfinite-horizon Optimal Controlen_US
dc.subject.otherStabilityen_US
dc.subject.otherTheory of Computationen_US
dc.subject.otherMathematicsen_US
dc.subject.otherApplications of Mathematicsen_US
dc.subject.otherOptimizationen_US
dc.subject.otherCalculus of Variations and Optimal Controlen_US
dc.subject.otherEngineering, Generalen_US
dc.subject.otherOperation Research/Decision Theoryen_US
dc.subject.otherDiscrete-time Systemsen_US
dc.subject.otherMoving-horizon Controlen_US
dc.subject.otherState-control Constraintsen_US
dc.subject.otherNonquadratic Cost Functionsen_US
dc.titleOptimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: Stability and moving-horizon approximationsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Aerospace Engineering, University of Michigan, Ann Arbor, Michiganen_US
dc.contributor.affiliationotherSchool of Automation, Indian Institute of Science, Bangalore, Indiaen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/45231/1/10957_2004_Article_BF00938540.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF00938540en_US
dc.identifier.sourceJournal of Optimization Theory and Applicationsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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