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

DOI:

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.

 

Downloads

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