DocumentCode
1491957
Title
The solution of an affine problem and its application in control
Author
Zhou, Yu-Hong ; Allwright, John C.
Author_Institution
Centre for Biochem. Eng., Univ. Coll. London, UK
Volume
44
Issue
4
fYear
1999
fDate
4/1/1999 12:00:00 AM
Firstpage
826
Lastpage
829
Abstract
An optimization problem with an affine feasible set is studied. By converting the affine set to a closed convex set which contains the solution, the Meyer-Polak algorithm can be used. The selection of the constraints is the key issue. A theorem has been derived for the selection of the constraints for the affine problem where the cost function is of p-norm form. Its application in a control problem is demonstrated
Keywords
convex programming; discrete time systems; optimal control; Meyer-Polak algorithm; affine problem; closed convex set; discrete-time optimal control; optimization problem; p-norm form cost function; Constraint theory; Control theory; Convergence; Cost function; Councils; Equations; Functional programming; Optimal control; Programming profession;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.754827
Filename
754827
Link To Document