Solution of Optimal Control Problems by Modified State Parameterization

In this paper a new parameterization is introduced by Boubaker polynomials, which can accurately represent state variable with only a few parameters.In fact, an efficient algorithm forsolving optimal control problems and the controlled linear and Duffing oscillator is presented. This algorithm converts these problems to a non-linear optimization problem. By this method, the control and state variables can be approximated as a function of time. Also, the numerical value of the performance index is obtained readily. Convergence of the algorithms is proved and someillustrative examples are presented to show the efficiency and reliability of the presented method

Keywords:

Optimal Control Problems , Numerical Methods , State Parameterization Duffing oscillator problem