DocumentCode
821158
Title
A spline-theoretic approach to minimum-energy control
Author
Weinert, Howard L. ; Kailath, Thomas
Author_Institution
John Hopkins University, Baltimore, MD, USA
Volume
21
Issue
3
fYear
1976
fDate
6/1/1976 12:00:00 AM
Firstpage
391
Lastpage
393
Abstract
The problem of minimum-energy control of linear systems with linear functional constraints on the output is considered from a spline-theoretic viewpoint. It is shown that constrained minimum-energy control and spline interpolation are dual projection problems: if the given system is driven by the minimum-energy control, the system output will be the spline that interpolates the output constraints. This duality result is used to obtain a simple formula for the exact optimal control under very general constraints.
Keywords
Linear systems, time-varying continuous-time; Minimum-energy control; Spline functions; Boundary value problems; Control systems; Equations; Error correction; Hysteresis; Interpolation; Linear systems; Optimal control; Spline; Velocity control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1976.1101207
Filename
1101207
Link To Document