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.

引用

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