Study of B-spline collocation method for solving fractional optimal control problems

被引：3

作者：

Edrisi-Tabriz, Yousef ^{[1
]}

Lakestani, Mehrdad ^{[2
]}

Razzaghi, Mohsen ^{[3
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran

[3] Mississippi State Univ, Dept Math & Stat, Allen Hall, Mississippi State, MS 39762 USA

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2021年 / 43卷 / 11期

关键词：

Fractional optimal control problem; Caputo derivative; linear b-spline function; operational matrix; collocation method; APPROXIMATION; DIFFUSION;

D O I：

10.1177/0142331220987537

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, a class of fractional optimal control problems (FOCPs) are solved using a direct method. We present a new operational matrix of the fractional derivative in the sense of Caputo based on the B-spline functions. Then we reduce the solution of fractional optimal control problem to a nonlinear programming (NLP) one, where some existing well-developed algorithms may be applied. Numerical results demonstrate the efficiency of the presented technique.

引用

页码：2425 / 2437

页数：13

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