Author/Authors :
Kafash، B نويسنده 1Faculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, Iran , , Delavarkhalafi، A نويسنده 1Faculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, Iran , , Karbassi، M نويسنده 2Faculty of Advanced Education, Islamic Azad University, Yazd Branch, Yazd, P.O.Box 89195/155, Iran ,
Abstract :
In this paper, solution of nonlinear optimal control problems and the controlled Duffing oscillator, as a special
class of optimal control problems, are considered and an efficient algorithm is proposed. This algorithm is based
on state parametrization as a polynomial with unknown coefficients. 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. The convergence of the algorithm is proved. To demonstrate reliability and efficiency of the
proposed algorithm, the scheme is tested on some numerical examples.
