Adaptive pole placement control of linear systems by stable multirate-output controllers

Arvanitis, KG; Kalogeropoulos, G; Tsirikos, AS

dc.contributor.author	Arvanitis, KG	en
dc.contributor.author	Kalogeropoulos, G	en
dc.contributor.author	Tsirikos, AS	en
dc.date.accessioned	2014-03-01T01:46:21Z
dc.date.available	2014-03-01T01:46:21Z
dc.date.issued	1997	en
dc.identifier.issn	0315-8934	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24889
dc.subject	adaptive control	en
dc.subject	pole placement	en
dc.subject	multirate systems	en
dc.subject	strong stabilization	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.other	TIME-INVARIANT PLANTS	en
dc.subject.other	DATA HOLD FUNCTIONS	en
dc.subject.other	MULTIVARIABLE SYSTEMS	en
dc.subject.other	FEEDBACK	en
dc.subject.other	ASSIGNMENT	en
dc.subject.other	STABILITY	en
dc.subject.other	ALGORITHM	en
dc.subject.other	DESIGN	en
dc.subject.other	COMPENSATION	en
dc.title	Adaptive pole placement control of linear systems by stable multirate-output controllers	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	The certainty equivalence principle is used to combine the identification method with a control structure derived from the pole placement problem, which relies on multirate-output controllers. The proposed multirate-output pole placers contain a sampling mechanism in which the system output is detected maw times over one sampling period. Such a control strategy allows us to to arbitrarily assign the poles of the sampled closed-loop system in desired locations and does not make assumptions about the plant other than controllability and observability. An indirect adaptive control scheme is derived, which estimates the unknown plant parameters (and consequently the controller parameters) online from sequential data of the inputs and the outputs of the plant, which as recursively updated within the time limit imposed by a fundamental sampling period Tg. Using the proposed algorithm, the considered adaptive pole placement problem is reduced to the determination of a fictitious static-state feedback controller, due to the merits of multirate-output controllers. Known indirect adaptive pole placement schemes usually resort to the computation of dynamic controllers through the solution of a polynomial Diophantine equation, thus introducing high-order exogenous dynamics in the control loop. Moreover, in maw cases the solution of the Diophantine equation for a desired set of closed-loop eigenvalues might yield an unstable controller, and the overall adaptive pole placement scheme is unstable with unstable compensators because their outputs are unbounded. The proposed control strategy avoids these problems, as the exogenous dynamics introduced is of low order and the controller determination is based on the well-known Ackerman formula. Moreover, persistence of excitation and, therefore, parameter convergence of the continuous-time plant rue provided without making any assumption either about the existence of specific cower sets in which the estimated parameters belong or the coprimeness of the polynomials describing the ARMA model, as compared to known adaptive pole placement schemes.	en
heal.publisher	ACTA PRESS/I A S T E D	en
heal.journalName	CONTROL AND COMPUTERS	en
dc.identifier.isi	ISI:000072552800004	en
dc.identifier.volume	25	en
dc.identifier.issue	3	en
dc.identifier.spage	88	en
dc.identifier.epage	104	en