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A new adaptive optimal LQ regulator for linear systems based on two-point-multirate controllers

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dc.contributor.author Arvanitis, KG en
dc.date.accessioned 2014-06-06T06:44:03Z
dc.date.available 2014-06-06T06:44:03Z
dc.date.issued 2000 en
dc.identifier.issn 14801752 en
dc.identifier.uri http://62.217.125.90/xmlui/handle/123456789/1650
dc.relation.uri http://www.scopus.com/inward/record.url?eid=2-s2.0-0034580757&partnerID=40&md5=d8cf3d14d9899b625957871bb2345802 en
dc.subject Adaptive control en
dc.subject Linear quadratic regulator en
dc.subject Multirate sampling en
dc.subject Optimal multirate control en
dc.subject Parameter estimation en
dc.subject Sampled-data systems en
dc.subject.other Adaptive control systems en
dc.subject.other Algorithms en
dc.subject.other Computational methods en
dc.subject.other Controllability en
dc.subject.other Discrete time control systems en
dc.subject.other Feedback control en
dc.subject.other Observability en
dc.subject.other Optimal control systems en
dc.subject.other Parameter estimation en
dc.subject.other Polynomials en
dc.subject.other State feedback en
dc.subject.other Multirate controllers en
dc.subject.other Linear control systems en
dc.title A new adaptive optimal LQ regulator for linear systems based on two-point-multirate controllers en
heal.type journalArticle en
heal.publicationDate 2000 en
heal.abstract This article solves the adaptive LQ optimal regulation problem for continuous-time systems using a new class of multirate controllers called two-point-multirate controllers. In this type of controller, the control is constrained to a certain piecewise constant signal, and the controlled plant output is detected many times over a fundamental sampling period. The adaptive control strategy suggested here relies on solving the continuous LQ regulation problem. On the basis of this strategy, the original problem is reduced to an associate discrete-time LQ regulation problem for the performance index with cross-product terms, for which a fictitious static-state feedback controller needs to be computed. Thus, the present technique essentially resorts to the computation of simple gain controllers rather than to the computation of state observers, as compared to known techniques. As a consequence, the exogenous dynamics introduced in the control loop is of low order. The proposed adaptive scheme is readily applicable to non-minimum phase systems and to systems that do not possess the parity interlacing property (i.e., they are not strongly stabilizable). Persistency of excitation of the controlled system is assured without making any assumption about the existence of special convex sets in which the estimated system parameters belong, or about the coprimeness of the polynomials describing the ARMA model, as in known techniques. The a priori knowledge needed to implement the proposed adaptive algorithm is controllability and observability of the continuous and the discretized system under control and its order. en
heal.journalName Control and Intelligent Systems en
dc.identifier.issue 3 en
dc.identifier.volume 28 en
dc.identifier.spage 118 en
dc.identifier.epage 139 en


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