Stability robustness to unstructured uncertainties of linear systems controlled on the basis of the multirate sampling of the plant output

Arvanitis, KG; Kalogeropoulos, G

dc.contributor.author	Arvanitis, KG	en
dc.contributor.author	Kalogeropoulos, G	en
dc.date.accessioned	2014-03-01T01:47:29Z
dc.date.available	2014-03-01T01:47:29Z
dc.date.issued	1998	en
dc.identifier.issn	02650754	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25226
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032165829&partnerID=40&md5=95169b937412d6022d7391beeb237de3	en
dc.subject.other	Closed loop control systems	en
dc.subject.other	Control system analysis	en
dc.subject.other	Feedback control	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Optimal control systems	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	System stability	en
dc.subject.other	Transfer functions	en
dc.subject.other	Deterministic linear-quadratic optimal regulations	en
dc.subject.other	Inverse return-difference matrices	en
dc.subject.other	Multirate-output controllers (MROC)	en
dc.subject.other	Linear control systems	en
dc.title	Stability robustness to unstructured uncertainties of linear systems controlled on the basis of the multirate sampling of the plant output	en
heal.type	journalArticle	en
heal.publicationDate	1998	en
heal.abstract	The stability robustness of stable feedback loops designed on the basis of multirate-output controllers (MROCs) is analysed in this paper. For MROC-based feedback loops, designed to achieve stabilization through pole placement or deterministic linear-quadratic (LQ) optimal regulation, we characterize additive or multiplicative norm-bounded perturbations of the loop transfer-function matrix that do not destabilize the closed-loop system. New sufficient stability conditions in terms of the elementary MROC matrices are presented, for both static and (stable) dynamic MROCs. Moreover, lower bounds for the minimum singular values of the return-difference and of the inverse return-difference matrices are suggested for all cases of the aforementioned MROC-based stable feedback designs. Also suggested are guaranteed stability margins for MROC-based pole placers and LQ optimal regulators. A comparison between the suggested stability margins for static and (stable) dynamic MROCs is presented, while the superiority of these margins over known stability margins for deterministic LQ optimal regulators is identified. Finally, an analysis of the deficiency of the aforementioned stablity margins is presented for cases where the MROC feedback gains become very large, and useful guidelines are suggested for the choice of the sampling period and of the output multiplicities of the sampling to avoid this deficiency.	en
heal.journalName	IMA Journal of Mathematical Control and Information	en
dc.identifier.volume	15	en
dc.identifier.issue	3	en
dc.identifier.spage	241	en
dc.identifier.epage	268	en