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On solving optimal control problems with free initial condition using iterative dynamic programming

✍ Scribed by Wichaya Mekarapiruk; Rein Luus


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
621 KB
Volume
79
Category
Article
ISSN
0008-4034

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✦ Synopsis


Abstract

For solving optimal control problems where the initial conditions of some of the state variables are not specified, a procedure based on iterative dynamic programming (IDP) is presented. In this procedure, the free initial conditions are taken to be additional control variables for the first time stage only; then the search for the optimal initial conditions and also the optimal control policy is carried out simultaneously using IDP. The procedure is straightforward, and as illustrated with two nonlinear optimal control problems, for each case the optimum performance index is readily obtained.