Computation of optimal controls using a piecewise polynomial parameterization
- 1 August 1973
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 18 (4) , 409-411
- https://doi.org/10.1109/tac.1973.1100329
Abstract
A class of optimal control problems is treated. The mathematical programming approach is used by employing a special piecewise polynomial parameterization of the control profile. A method for evaluating the gradient of the cost with respect to the various parameters is developed; this enables the optimal values of the parameters to be determined by minimizing the cost through a gradient search method. The algorithm is illustrated by a computed example.Keywords
This publication has 3 references indexed in Scilit:
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- New second-order and first-order algorithms for determining optimal control: A differential dynamic programming approachJournal of Optimization Theory and Applications, 1968
- A Rapidly Convergent Descent Method for MinimizationThe Computer Journal, 1963