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
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
收藏
页码:1215 / 1237
页数:23
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