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 |
http://hdl.handle.net/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 |