An indirect adaptive pole place for MIMO systems based on multirate sampling of the plant output

Arvanitis, KG

dc.contributor.author	Arvanitis, KG	en
dc.date.accessioned	2014-03-01T01:43:36Z
dc.date.available	2014-03-01T01:43:36Z
dc.date.issued	1995	en
dc.identifier.issn	02650754	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24163
dc.title	An indirect adaptive pole place for MIMO systems based on multirate sampling of the plant output	en
heal.type	journalArticle	en
heal.identifier.primary	10.1093/imamci/12.4.363	en
heal.identifier.secondary	http://dx.doi.org/10.1093/imamci/12.4.363	en
heal.publicationDate	1995	en
heal.abstract	The use of multirate-output controllers in order to achieve adaptive pole placement in linear multiple-input multiple-output systems with unknown parameters is investigated for the first time. Multirate-output controllers contain a multirate sampling mechanism with different sampling period at each system output. Such ́ control allows us to assign the poles of the sampled closed-loop system arbitrarily in desired locations, and does not make assumptions on the plant other than controllability, observability, and the knowledge of two sets of structural indices, namely the controllability and the observability indices. An indirect adaptive control scheme based on these sampled-data controllers is proposed, which estimates the controller parameters on line. Using the proposed adaptive algorithm, the problem of adaptive pole placement is reduced to the determination of a fictitious static state-feedback controller, due to the merits of dynamic multirate-output controllers. Known techniques resort to the direct computation of dynamic controllers. The controller determinations here is based on the transformation of the discrete analogue of the systems under control to a phase-variable canonical form prior to the applications of the control design procedure. The solution of the problem can be obtained by a quite simple utilization of the concept of state similarity transformation, whereas known techniques usually require the solution of matrix polynomial Diophantine equations. Moreover, persistent excitation of the continuous-time plant is provided without assuming any special richness of the reference signals. © 1995 Oxford University Press.	en
heal.journalName	IMA Journal of Mathematical Control and Information	en
dc.identifier.doi	10.1093/imamci/12.4.363	en
dc.identifier.volume	12	en
dc.identifier.issue	4	en
dc.identifier.spage	363	en
dc.identifier.epage	394	en