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On the computation of optimal singular and bang–bang controls

✍ Scribed by S. A. Dadebo; K. B. McAuley; P. J. McLellan

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
111 KB
Volume
19
Category
Article
ISSN
0143-2087

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✦ Synopsis

To avoid difficulties associated with the computation of optimal singular/bang-bang controls, a common approach is to add a perturbed energy term. The efficacy of this perturbation method is assessed here via a direct search iterative dynamic programming procedure. A potential limitation of the strategy is shown from a computational point of view, and some guidelines for selecting the perturbation parameter are provided using numerical examples. It is demonstrated that many gradient-based methods may not be well suited for computing singular/bang-bang controls when perturbation methods are used to solve optimal control problems in chemical process control.

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