Guaranteed stability margins for discrete-time LQ optimal regulators for the performance index with cross-product terms

Arvanitis, KG; Kalogeropoulos, G

dc.contributor.author	Arvanitis, KG	en
dc.contributor.author	Kalogeropoulos, G	en
dc.date.accessioned	2014-03-01T01:12:58Z
dc.date.available	2014-03-01T01:12:58Z
dc.date.issued	1997	en
dc.identifier.issn	0278-081X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12299
dc.subject	Crossed Product	en
dc.subject	Discrete Time	en
dc.subject	Performance Index	en
dc.subject	State Feedback	en
dc.subject	Linear Quadratic	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Discrete time control systems	en
dc.subject.other	Feedback	en
dc.subject.other	Linear control systems	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	System stability	en
dc.subject.other	Cross product terms	en
dc.subject.other	Discrete time linear quadratic optimal regulators	en
dc.subject.other	Optimal control systems	en
dc.title	Guaranteed stability margins for discrete-time LQ optimal regulators for the performance index with cross-product terms	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01371572	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01371572	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	In this paper, the stability robustness of deterministic state feedback discrete-time linear quadratic (LQ) optimal regulators for the performance index with cross-product terms is analyzed. Guaranteed stability margins for such a type of LQ optimal regulator are suggested for the first time. These stability margins are obtained on the basis of a modified return difference equality and are expressed directly in terms of the elementary cost and system matrices. Sufficient conditions to guarantee the required stability margins are presented. Finally, the connection between the suggested stability margins and the selection of weighting state, input, and cross-product matrices is investigated, and useful guidelines for choosing proper weighting matrices are presented.	en
heal.publisher	BIRKHAUSER BOSTON INC	en
heal.journalName	Circuits, Systems, and Signal Processing	en
dc.identifier.doi	10.1007/BF01371572	en
dc.identifier.isi	ISI:A1997YG27600004	en
dc.identifier.volume	16	en
dc.identifier.issue	6	en
dc.identifier.spage	663	en
dc.identifier.epage	701	en