A Numerical Method for Solving Fractional Optimal Control Problems

作者：Jahromi A R Fakharzadeh^*; Baneshi Z

来源：Iranian Journal of Science and Technology Transaction A-Science, 2017, 41(A2): 439-443.

DOI：10.1007/s40995-017-0257-2

• Caputo fractional derivatives
• Chebyshev polynomials
• Operational matrix

In this article, we introduce a numerical scheme for solving a class of fractional optimal control problems (FOCPs) where the fractional derivative is in Caputo sense. First we approximate the involved functions which are in problem by shifted Chebyshev basis; then, an operational matrix is used to transfer the given optimal control problem into a linear system of algebraic equations. Analyzing the solution of this system, gives us the solution of original problem. A numerical example is also given.

• 出版日期2017-6