Model reference adaptive controller design for MIMO linear systems based on multirate generalized sampled-data hold functions

Arvanitis, KG; Sigrimis, N; Kookos, IK; Kalogeropoulos, G

dc.contributor.author	Arvanitis, KG	en
dc.contributor.author	Sigrimis, N	en
dc.contributor.author	Kookos, IK	en
dc.contributor.author	Kalogeropoulos, G	en
dc.date.accessioned	2014-03-01T01:14:49Z
dc.date.available	2014-03-01T01:14:49Z
dc.date.issued	1999	en
dc.identifier.issn	01371223	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13233
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0033332631&partnerID=40&md5=e8ad5b32a502be62e21baa7ebfb99079	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-30844468854&partnerID=40&md5=74d4ed6b793e63e3cff89b0f2e7b78e9	en
dc.subject.other	Adaptive control systems	en
dc.subject.other	Closed loop control systems	en
dc.subject.other	Controllability	en
dc.subject.other	Linear equations	en
dc.subject.other	Linear systems	en
dc.subject.other	Mathematical models	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Multivariable systems	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Polynomials	en
dc.subject.other	Sampled data control systems	en
dc.subject.other	Transfer functions	en
dc.subject.other	Autoregressive moving average	en
dc.subject.other	Diophantine equations	en
dc.subject.other	Discrete time transfer function matrix	en
dc.subject.other	Multi-input multi-output systems	en
dc.subject.other	Multirate sampling mechanism	en
dc.subject.other	Control system synthesis	en
dc.title	Model reference adaptive controller design for MIMO linear systems based on multirate generalized sampled-data hold functions	en
heal.type	journalArticle	en
heal.publicationDate	1999	en
heal.abstract	The use of multirate generalized sampled-data hold functions for model reference adaptive control of linear multiple-input, multiple-output (MIMO) systems with unknown parameters, is investigated in this paper, for the first time. Such a control scheme contains a multirate sampling mechanism with different sampling period to each system input and relies on two periodically varying modulating matrix functions. The proposed control strategy allows us to assign an arbitrary discrete-time transfer function matrix for the sampled closed-loop system and does not make assumptions on the plant other than controllability and observability of the continuous and the sampled system, and the knowledge of a set of structural indices, namely the locally minimum controllability indices of the continuous-time plant. The indirect adaptive control scheme presented here, estimates the unknown plant parameters (and hence the parameters of the desired modulating matrix functions) on line, from sequential data of the inputs and the outputs of the plant, which are recursively updated within the time limit imposed by a fundamental sampling period T0. The controller determination is reduced to the simple problem of solving a linear algebraic system of equations, whereas known indirect model reference adaptive control techniques require the solution of matrix polynomial Diophantine equations, whose solutions may become unstable. Moreover, persistency of excitation and, therefore, parameter convergence, of the continuous-time plant is provided without making assumptions either on the existence of specific convex sets in which the estimated parameters belong or on the coprimeness of the polynomials describing the ARMA model, or finally on the richness of the reference signals, as compared to known indirect model reference adaptive control schemes.	en
heal.publisher	Tech Univ Wroclaw, Warsaw, Poland	en
heal.journalName	Systems Science	en
dc.identifier.volume	25	en
dc.identifier.issue	3	en
dc.identifier.spage	5	en
dc.identifier.epage	36	en