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

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...

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Bibliographic Details
Published in:Applied mathematical modelling 1997-05, Vol.21 (5), p.255-260
Main Authors: Elnagar, Gamal N., Razzaghi, Mohsen
Format: Article
Language:English
Subjects:
Chebyshev
nonlinear problems
spectral method
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Summary: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.
ISSN:0307-904X
DOI:10.1016/S0307-904X(97)00013-9