State Parametrization Method Based on Shifted Legendre Polynomials for Solving Fractional Optimal Control Problems

被引：0
作者：
Dehghan R. [1 ]
机构：
[1] Department of Mathematics, Islamic Azad University (I.A.U), Masjed-Soleiman Branch, Masjed-Soleiman
来源：
International Journal of Applied and Computational Mathematics | 2018年 / 4卷 / 1期
关键词：
Fractional optimal control; Nonlinear optimization; Numerical method; Parametric optimization; Shifted legendre polynomials;
D O I：
10.1007/s40819-017-0475-5
中图分类号：
学科分类号：
摘要：
In this paper, the parametric optimization method is used to solve a class of fractional optimal control problems. The solution is based on state parametrization, as a linear combination of shifted Legendre polynomials with unknown coefficients. An iterative algorithm is proposed for computing optimal coefficients. In this method the state and control variables can be approximated as a function of time. Convergence of the algorithm is investigated and to show the efficiency of the presented method three examples are solved and the results are compared with exact solution. © 2017, Springer (India) Private Ltd., part of Springer Nature.
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