A ROBUST NUMERICAL METHOD FOR SOLVING NONLINEAR OPTIMAL CONTROL PROBLEMS

This paper presents a numerical technique for solving nonlinear optimal control problems and the controlled Duffing oscillator as a special class of optimal control problems. The solution is based on state parameterizations as a polynomial with unknown coefficients. In fact, a new parameterizations is introduced, which can accurately represent continuous control and state variables as a function of time. The convergence of the algorithms is proved and some illustrative examples are presented to show the efficiency and reliability of the presented method.