Asymptotic series solution of optimal systems with small time delay
- 1 June 1973
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 18 (3), 250-259
- https://doi.org/10.1109/tac.1973.1100288
Abstract
A fixed final time free end-point optimal problem with a small time delay is considered. This problem leads to a nonlinear boundary-value problem consisting of both advanced- and retarded-type differential-difference equations. An asymptotic power series solution to the problem is constructed in terms of time delay. This asymptotic approximation procedure is aimed at improving a "nominal design" in which the small time delay is neglected. A scalar example illustrates the construction of asymptotic expansions. Numericai results on a coupled-core nuclear-reactor power control problem clearly show the advantages of the method.Keywords
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