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A numerical method for solving optimal control problems using state parametrization

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Abstract

A numerical method for solving a special class of optimal control problems is given. The solution is based on state parametrization as a polynomial with unknown coefficients. This converts the problem to a non-linear optimization problem. To facilitate the computation of optimal coefficients, an improved iterative method is suggested. Convergence of this iterative method and its implementation for numerical examples are also given.

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Authors and Affiliations

  1. Aerospace Research Institute, Tehran, 14665-834, Iran

    H. Hashemi Mehne

  2. Damghan University of Basic Science, Damghan, 36715-364, Iran

    A. Hashemi Borzabadi

Authors
  1. H. Hashemi Mehne
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  2. A. Hashemi Borzabadi
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Correspondence to H. Hashemi Mehne.

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Mehne, H.H., Borzabadi, A.H. A numerical method for solving optimal control problems using state parametrization. Numer Algor 42, 165–169 (2006). https://doi.org/10.1007/s11075-006-9035-5

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  • DOI: https://doi.org/10.1007/s11075-006-9035-5

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