A spline-theoretic approach to minimum-energy control
- 1 June 1976
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 21 (3) , 391-393
- https://doi.org/10.1109/tac.1976.1101207
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
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