2003•International Journal of Computer MathematicsRequires access

A Chebyshev Finite Difference Method For Solving A Class Of Optimal Control Problems

M. El-Kady

Abstract

A new Chebyshev finite difference method for solving class of optimal control problem is proposed. The algorithm is based on Chebyshev approximations of the derivatives arising in system dynamics. In the performance index, we use Chebyshev approximations for integration. The numerical examples illustrate the robustness, accuracy and efficiency of the proposed technique.

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Key concepts: Chebyshev pseudospectral method, Chebyshev filter, Chebyshev iteration, Mathematics, Chebyshev equation, Chebyshev nodes, Robustness (evolution), Class (philosophy)