Numerical solution of nonlinear optimal control problems based on state parametrization

	Numerical solution of nonlinear optimal control problems based on state parametrization
Iranian Journal of Science
مقاله 2، دوره 36، Issue 3.1، آذر 2012، صفحه 331-340 اصل مقاله (122.83 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2014.2084
نویسندگان
B. Kafash^* ¹؛ A. Delavarkhalafi¹؛ S. M. Karbassi²
¹Faculty of Mathematics, Yazd University, Yazd, P.O. Box 89197/741, Iran
²Faculty of Advanced Education, Islamic Azad University, Yazd Branch, Yazd, P.O.Box 89195/155, Iran
چکیده
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.
کلیدواژه‌ها
Optimal control problems؛ state parametrization؛ control linear oscillator and duffing oscillator؛ weierstrass approximation theorem

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