Stability robustness of LQ optimal regulators based on multirate sampling of plant output

Arvanitis, KG; Kalogeropoulos, G

dc.contributor.author	Arvanitis, KG	en
dc.contributor.author	Kalogeropoulos, G	en
dc.date.accessioned	2014-03-01T01:14:11Z
dc.date.available	2014-03-01T01:14:11Z
dc.date.issued	1998	en
dc.identifier.issn	0022-3239	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12908
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032361180&partnerID=40&md5=3fd877d0e498197074c4a407396a4761	en
dc.subject	Linear-quadratic regulators	en
dc.subject	Multirate sampling	en
dc.subject	Multirate-output controllers	en
dc.subject	Sampled-data systems	en
dc.subject	Stability margins	en
dc.subject	Stability robustness	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	ALGEBRAIC RICCATI EQUATION	en
dc.subject.other	TIME-INVARIANT SYSTEMS	en
dc.subject.other	DESIGN	en
dc.subject.other	CONTROLLERS	en
dc.subject.other	FEEDBACK	en
dc.subject.other	MATRIX	en
dc.subject.other	BOUNDS	en
dc.title	Stability robustness of LQ optimal regulators based on multirate sampling of plant output	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	The stability robustness of stable feedback loops, designed on the basis of multirate-output controllers (MROCs), is analyzed in this paper. For MROC-based feedback loops, designed in order to achieve LQ optimal regulation, we characterize additive and multiplicative norm-bounded perturbations of the loop transfer function matrix which do not destabilize the closed-loop system. New sufficient conditions for stability robustness, in terms of elementary MROC matrices, are presented. Moreover, guaranteed stability margins for MROC-based LQ optimal regulators are suggested for the first time. These margins are obtained on the basis of a fundamental spectral factorization equality, called the modified return difference equality, and are expressed directly in terms of elementary cost and system matrices. Sufficient conditions in order to guarantee the suggested stability margins are established. Finally, the connection between the suggested stability margins and the selection of cost weighting matrices is investigated and useful guidelines for choosing proper weighting matrices are presented.	en
heal.publisher	PLENUM PUBL CORP	en
heal.journalName	Journal of Optimization Theory and Applications	en
dc.identifier.isi	ISI:000073733900004	en
dc.identifier.volume	97	en
dc.identifier.issue	2	en
dc.identifier.spage	299	en
dc.identifier.epage	337	en