A CHEBYSHEV-APPROXIMATION FOR SOLVING OPTIMAL-CONTROL PROBLEMS

被引：41

作者：

ELGINDY, TM ^{[1
]}

ELHAWARY, HM ^{[1
]}

SALIM, MS ^{[1
]}

ELKADY, M ^{[1
]}

机构：

[1] AL-AZHAR UNIV,FAC SCI,DEPT MATH,ASSIUT,EGYPT

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 29卷 / 06期

关键词：

CHEBYSHEV APPROXIMATION; OPTIMAL CONTROL PROBLEM; ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS;

D O I：

10.1016/0898-1221(95)00005-J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a numerical solution for solving optimal control problems, and the controlled Duffing oscillator. A new Chebyshev spectral procedure is introduced. Control variables and state variables are approximated by Chebyshev series. Then the system dynamics is transformed into systems of algebraic equations. The optimal control problem is reduced to a constrained optimization problem. Results and comparisons are given at the end of the paper.

引用

页码：35 / 45

页数：11

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