Legendre Coefficients Method for Linear-Quadratic Optimal Control Problems by Using Genetic Algorithms

  • Authors

    • M. El-Kady
    • Nabila Elsawy

    Received date: January 15, 2013

    Accepted date: February 1, 2013

    Published date: February 23, 2013

    https://doi.org/10.14419/ijamr.v2i1.648
  • Abstract

    In this paper, a numerical method for solving Linear-quadratic optimal control problems (LQPs) is presented. A method is provided for approximating the system dynamics, boundary conditions, and the performance index. The control and state variables are approximated by Legendre orthogonal polynomials. The method is based on using orthogonality of Legendre polynomials to get rid of the integration of the performance index. The problem is then reduced to a constrained optimization problem which is solved by Genetic Algorithms (GAs). Numerical results and comparisons are given at the end of this paper.

     

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  • How to Cite

    El-Kady, M., & Elsawy, N. (2013). Legendre Coefficients Method for Linear-Quadratic Optimal Control Problems by Using Genetic Algorithms. International Journal of Applied Mathematical Research, 2(1), 140-150. https://doi.org/10.14419/ijamr.v2i1.648

    Received date: January 15, 2013

    Accepted date: February 1, 2013

    Published date: February 23, 2013