A Chebyshev spectral method for the solution of nonlinear optimal control problems

被引：8
|
作者：
Elnagar, GN
Razzaghi, M
机构：
[1] MISSISSIPPI STATE UNIV,DEPT MATH & STAT,MISSISSIPPI STATE,MS 39762
[2] UNIV S CAROLINA,DEPT MATH,SPARTANBURG,SC
[3] AMIRKABIR UNIV,DEPT MATH,TEHRAN,IRAN
来源：
APPLIED MATHEMATICAL MODELLING | 1997年 / 21卷 / 05期
关键词：
Chebyshev; spectral method; nonlinear problems;
D O I：
10.1016/S0307-904X(97)00013-9
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper presents a spectral method of solving the controlled Duffing oscillator. The method is based upon constructing the Mth degree interpolation polynomials, using Chebyshevs nodes, to approximate the state and the control vectors. The differential and integral expressions that arise from the system dynamics and the performance index are converted into some algebraic equations. The optimum condition is obtained by applying the method of constrained extremum. (C) 1997 by Elsevier Science Inc.
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页码：255 / 260
页数：6
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