Algorithm for adaptive pole placement control of linear systems based on generalized sampled-data hold functions

Arvanitis, KG

dc.contributor.author	Arvanitis, KG	en
dc.date.accessioned	2014-03-01T01:14:23Z
dc.date.available	2014-03-01T01:14:23Z
dc.date.issued	1999	en
dc.identifier.issn	0016-0032	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13034
dc.subject	adaptive control	en
dc.subject	adaptive pole placement	en
dc.subject	sampled-data controllers	en
dc.subject	generalized sampled-data hold functions	en
dc.subject	parameter estimation	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	Adaptive control systems	en
dc.subject.other	Closed loop control systems	en
dc.subject.other	Control system analysis	en
dc.subject.other	Control system synthesis	en
dc.subject.other	Controllability	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Linear control systems	en
dc.subject.other	Observability	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Polynomials	en
dc.subject.other	Ackermann formula	en
dc.subject.other	Adaptive pole placements	en
dc.subject.other	Generalized sampled-data hold functions	en
dc.subject.other	Sampled data control systems	en
dc.title	Algorithm for adaptive pole placement control of linear systems based on generalized sampled-data hold functions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0016-0032(98)00044-1	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0016-0032(98)00044-1	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	The use of generalized sampled-data hold functions for adaptive pole placement control of linear systems with unknown parameters, is investigated. The particular control structure used relies on a periodic controller, which suitably modulates the sampled plant output by a multirate periodically time-varying function. Such a control strategy, allows us to assign the eigenvalues of the closed-loop monodromy matrix to the desired prespecified values and does not make assumptions on the plant other than controllability, observability and known order. The proposed indirect adaptive scheme estimates the unknown plant parameters 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. On the basis of the proposed algorithm, the adaptive pole placement problem is reduced to a controller determination based on the well-known Ackermanns' formula. Known adaptive control schemes usually resort to the computation of dynamic controllers through the solution of polynomial Diophantine equations, thus introducing high-order exogenous dynamics in the control loop. Moreover, in many cases, this solution might yield an unstable controller, and the overall adaptive scheme is then unstable with unstable compensators because their outputs are unbounded. The proposed control strategy avoids these problems, since here gain controllers essentially need to be designed. Moreover, persistency of excitation and, therefore, parameter convergence, of the continuous-time plant is provided without making any assumption 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 adaptive pole placement schemes. (C) 1999 The Franklin Institute. Published by Elsevier Science Ltd.	en
heal.publisher	Elsevier Science Ltd	en
heal.journalName	Journal of the Franklin Institute	en
dc.identifier.doi	10.1016/S0016-0032(98)00044-1	en
dc.identifier.isi	ISI:000079587300008	en
dc.identifier.volume	336	en
dc.identifier.issue	3	en
dc.identifier.spage	503	en
dc.identifier.epage	521	en