L-Q OPTIMAL CONTROL FOR DISCRETE DESCRIPTOR SYSTEMS WITH A COMPLETE SET OF BOUNDARY INFORMATION.

Mantas, GP; Krikelis, NJ

dc.contributor.author	Mantas, GP	en
dc.contributor.author	Krikelis, NJ	en
dc.date.accessioned	2014-03-01T01:07:12Z
dc.date.available	2014-03-01T01:07:12Z
dc.date.issued	1988	en
dc.identifier.issn	0020-7179	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9842
dc.subject	Descriptor System	en
dc.subject	Optimal Control	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.other	CONTROL SYSTEMS, DISCRETE TIME	en
dc.subject.other	CONTROL SYSTEMS, OPTIMAL	en
dc.subject.other	CAUSAL STATE VARIABLES	en
dc.subject.other	LINEAR-QUADRATIC OPTIMAL CONTROL	en
dc.subject.other	WEIERSTRASS STRUCTURE THEOREM	en
dc.subject.other	CONTROL SYSTEMS, LINEAR	en
dc.title	L-Q OPTIMAL CONTROL FOR DISCRETE DESCRIPTOR SYSTEMS WITH A COMPLETE SET OF BOUNDARY INFORMATION.	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/00207178808906108	en
heal.identifier.secondary	http://dx.doi.org/10.1080/00207178808906108	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	This paper presents the linear-quadratic optimal control problem for the discrete-time descriptor systems Ex//k// plus //1 equals Ax//k plus Bu//k, where E is a singular matrix, the system structure is, in general, non-causal and its boundary conditions information is specified in terms of d initial conditions and (n-d) final conditions, where d equals deg left brace det( lambda E-A) right brace . It is shown that the optimal control law depends only on the d-dimensional state variables of the causal subsystem, and the optimal cost-to-go is a general quadratic expression of the causal state variables and does not depend on the entire descriptor vector. This result constitutes an extension to the non-causal system case of Larson et al. (1978), where the structure of the descriptor system had been assumed causal.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	International Journal of Control	en
dc.identifier.doi	10.1080/00207178808906108	en
dc.identifier.isi	ISI:A1988N358800024	en
dc.identifier.volume	47	en
dc.identifier.issue	5	en
dc.identifier.spage	1467	en
dc.identifier.epage	1477	en