An Iterative Procedure for Optimal Control of a System by Sampled Input
- 1 February 1964
- journal article
- control section
- Published by Taylor & Francis in Journal of Electronics and Control
- Vol. 16 (2) , 177-188
- https://doi.org/10.1080/00207216408937636
Abstract
Optimal control of a given system by an amplitude constrained sampled input is achieved by using an iterative procedure. The optimality is based on the minimization of a function ⊘ of the state x(tf), tf being the end of the time over which control is applied. The iterative procedure is based on taking the F-derivative )Todd 1962) of ⊘ when a small change in state and input control is assumed. A steepest descent procedure based on p-norm in control space is used to produce a small δ⊘ for a small change in control. This change δ for minimization of ⊘ is made negative to decrease ⊘ and the procedure is now iteratively continued till no significant improvement in ⊘ is possible without violating a constraint. This then specifies the input control over given (to tf). If tf is varied the minimum time problem can also be solved. Computational technique as well as examples are given.Keywords
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