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A Hybrid Numerical Approach for Solving Nonlinear Optimal Control Problems | ||
| Control and Optimization in Applied Mathematics | ||
| مقاله 8، دوره 10، شماره 1 - شماره پیاپی 19، شهریور 2025، صفحه 125-138 اصل مقاله (653.32 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2025.72875.1273 | ||
| نویسندگان | ||
| Rasoul Hatamian؛ Seyed Amjad Samareh Hashemi* | ||
| Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran. | ||
| چکیده | ||
| This paper presents an iterative computational method for addressing constrained nonlinear optimal control problems, specifically those involving terminal state, state saturation, and control saturation constraints. The proposed approach reformulates the original problem into a sequence of constrained linear time-varying quadratic optimal control problems. This is achieved by iteratively approximating the nonlinear dynamic system using constrained linear time-varying models. Each reformulated problem is then converted into a standard quadratic programming problem by applying Chelyshkov polynomials in conjunction with a collocation method. Finally, the resulting problems are solved to obtain optimal control solutions | ||
| کلیدواژه‌ها | ||
| Optimization؛ Nonlinear optimal control؛ Iterative method؛ Approximation؛ Chelyshkov polynomial | ||
| مراجع | ||
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