A collocation method via block-pulse functions for solving delay fractional optimal control problems

被引：24

作者：

Hosseinpour, Soleiman ^{[1
]}

Nazemi, Alireza ^{[1
]}

机构：

[1] Shahrood Univ Technol, Sch Math Sci, Dept Math, POB 3619995161-316, Shahrood, Iran

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2017年 / 34卷 / 04期

关键词：

delay fractional optimal control problems; Caputo derivative; block-pulse functions; operational matrix; delay operational matrix; non-linear programming; PARAMETER-ESTIMATION; NUMERICAL SCHEME; TIME-DELAY; SYSTEMS; FORMULATION; HYBRID; STATE; EQUATIONS; CALCULUS;

D O I：

10.1093/imamci/dnw020

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A collocation scheme is applied to give an approximate solution of the fractional optimal control problems with delays in state and control. The operational matrix of fractional Riemann-Liouville integration, delay operational matrix and direct collocation method are used. The proposed technique is applied to transform the state and control variables into non-linear programming parameters at collocation points. The method is simple and computationally advantageous. Some examples are given to demonstrate the simplicity, clarity and powerfulness of the method.

引用

页码：1215 / 1237

页数：23

共 48 条

[1] A formulation and numerical scheme for fractional optimal control problems [J].