期刊
OPTIMAL CONTROL APPLICATIONS & METHODS
卷 39, 期 6, 页码 1916-1934出版社
WILEY
DOI: 10.1002/oca.2456
关键词
Caputo derivative; fractional optimal control problem; numerical solution; Riemann-Liouville fractional integral operator; wavelet method
资金
- National Elites Foundation
In this paper, a method for finding an approximate solution of a class of 2D fractional optimal control problems with fractional-order dynamical system is discussed. In the proposed method, the fractional derivative is expressed in the Caputo sense. The method consists of expanding unknown functions as the elements of two-dimensional (2D) Muntz-Legendre wavelets. The 2D Muntz-Legendre wavelets are constructed and their properties are presented. The operational matrix of fractional-order integration for these wavelets is utilized to reduce the solution of 2D fractional optimal control problem to an optimization problem, which can then be solved easily. Some results concerning the error analysis are obtained. Finally, two illustrative test problems are included to demonstrate the validity and applicability of the technique. Moreover, our achievements are compared with the previous results to show the superiority of the proposed method.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据