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Numerical Method for Solving Pseudospectral Optimal Control Problems

M. El-Kady, B. S. El-desouky, M. Biomy

Abstract


An algorithm is proposed to solve the optimal control problem for linear and nonlinear systems with quadratic performance index. The method is based on parameterizing the control variables by Chebyshev series. Chebyshev approximation method reduced the problem to a constrained optimization problem. Penalty partial quadratic interpolation method is presented to solve the resulting constrained optimization problem. Numerical results are included to confirm the
efficiency and accuracy of the method.

Keywords


Pseudospectral Chebyshev approximation; optimal control problem.

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