Adaptive decoupling control of linear systems without a persistent excitation requirement

Arvanitis, KG

dc.contributor.author	Arvanitis, KG	en
dc.date.accessioned	2014-03-01T01:10:47Z
dc.date.available	2014-03-01T01:10:47Z
dc.date.issued	1995	en
dc.identifier.issn	0016-0032	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11445
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0029410345&partnerID=40&md5=fc2d3d9f2b6481fa26e43355786afa6a	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Adaptive algorithms	en
dc.subject.other	Closed loop control systems	en
dc.subject.other	Controllability	en
dc.subject.other	Discrete time control systems	en
dc.subject.other	Feedback control	en
dc.subject.other	Linear algebra	en
dc.subject.other	Linear control systems	en
dc.subject.other	Mathematical models	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Observability	en
dc.subject.other	Polynomials	en
dc.subject.other	Sampled data control systems	en
dc.subject.other	ARMA models	en
dc.subject.other	Certainty equivalence principle	en
dc.subject.other	Continuous time plant	en
dc.subject.other	Convex sets	en
dc.subject.other	Decoupling control problem	en
dc.subject.other	Diophantine equations	en
dc.subject.other	Linear systems	en
dc.subject.other	MIMO systems	en
dc.subject.other	Multirate sampling	en
dc.subject.other	Parameter convergence	en
dc.subject.other	Adaptive control systems	en
dc.title	Adaptive decoupling control of linear systems without a persistent excitation requirement	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	In the present paper, the certainty equivalence principle is used to combine a discrete-time adaptive law with a control structure derived from the decoupling control problem. The proposed control structure is mainly based on a special multirate sampling mechanism of the ouputs of the continuous-time plant under control. Such a control strategy allows us to regulate the outputs of the MIMO sampled closed-loop system independently and does not make assumptions on the plant other than controllability and observability and the knowledge of two sets of structural indices, namely the controllability and the observability indices. On the basis of the proposed indirect adaptive algorithm, the adaptive decoupling control problem is reduced to the determination of a fictitious static state feedback controller, due to the merits of the proposed multirate sampling mechanism. Known techniques usually resort to the direct computation of dynamic controllers. The controller determination reduces to the simple problem of solving a linear algebraic system of equations, whereas in known techniques matrix polynomial Diophantine equations usually need to be solved. Moreover, in the present technique, persistent excitation and, therefore, parameter convergence, of the continuous-time plant is provided without making any special assumption either on the richness of the reference signals or on the existence of specific convex sets in which the estimated parameters belong, or finally on the coprimeness of the polynomials describing the ARMA models, as compared to known adaptive decoupling control schemes. © 1996.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Journal of the Franklin Institute	en
dc.identifier.isi	ISI:A1995UK90400003	en
dc.identifier.volume	332	en
dc.identifier.issue	6	en
dc.identifier.spage	681	en
dc.identifier.epage	715	en