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A Sub-Ordinary Approach to Achieve Near-Exact Solutions for a Class of Optimal Control Problems | ||
| Control and Optimization in Applied Mathematics | ||
| مقاله 1، دوره 9، شماره 2، اسفند 2024، صفحه 1-19 اصل مقاله (674.13 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2024.70834.1254 | ||
| نویسندگان | ||
| Akbar Hashemi Borzabadi* 1؛ Mohammad Gholami Baladezaei2؛ Morteza Ghachpazan3 | ||
| 1Department of Applied Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran. | ||
| 2Department of Mathematics, Damghan Branch, Islamic Azad University, Damghan, Iran. | ||
| 3Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran. | ||
| چکیده | ||
| This paper explores the advantages of Sub-ODE strategy in deriving near-exact solutions for a class of linear and nonlinear optimal control problems (OCPs) that can be transformed into nonlinear partial differential equations (PDEs). Recognizing that converting an OCP into differential equations typically increases the complexity by adding constraints, we adopt the Sub-ODE method, as a direct method, thereby negating the need for such transformations to extract near exact solutions. A key advantage of this method is its ability to produce control and state functions that closely resemble the explicit forms of optimal control and state functions. We present results that demonstrate the efficacy of this method through several numerical examples, comparing its performance to various other approaches, thereby illustrating its capability to achieve near-exact solutions. | ||
| کلیدواژه‌ها | ||
| Optimal control problem؛ Subsidiary ordinary differential equation method؛ Parametrization | ||
| مراجع | ||
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