A numerical method for solving optimal control problems using state parametrization

@article{Mehne2006ANM,
  title={A numerical method for solving optimal control problems using state parametrization},
  author={Hamed Hashemi Mehne and Akbar Hashemi Borzabadi},
  journal={Numerical Algorithms},
  year={2006},
  volume={42},
  pages={165-169}
}
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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  • 2016 IEEE Congress on Evolutionary Computation (CEC)
  • 2016
VIEW 1 EXCERPT
CITES METHODS

References

Publications referenced by this paper.
SHOWING 1-10 OF 12 REFERENCES

H.W.J.: A survey of the control parametrization enhancing methods for constrained optimal control problems

V. Rehbock, K. L. Teo, L. S. Jenning, Lee
  • Progress in Optimization: Contributions from Australia,
  • 1999
VIEW 3 EXCERPTS

MISER3 optimal control software: Theory and user manual

L. S. Jennings, K. L. Teo, C. J. Goh
  • Department of Mathematics, the University of Western Australia,
  • 1997
VIEW 2 EXCERPTS