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Approximate Pareto Optimal Solutions of Multi objective Optimal Control Problems by Evolutionary Algorithms | ||
| Control and Optimization in Applied Mathematics | ||
| مقاله 1، دوره 1، شماره 1، تیر 2016، صفحه 1-19 اصل مقاله (939.51 K) | ||
| نوع مقاله: Research Article | ||
| نویسندگان | ||
| Akbar Hashemi Borzabadi* 1؛ Manije Hasanabadi2؛ Navid Sadjadi3 | ||
| 1damghan university | ||
| 2Damghan University | ||
| 3University of Valladolid | ||
| چکیده | ||
| In this paper an approach based on evolutionary algorithms to find Pareto optimal pair of state and control for multi-objective optimal control problems (MOOCP)'s is introduced. In this approach, first a discretized form of the time-control space is considered and then, a piecewise linear control and a piecewise linear trajectory are obtained from the discretized time-control space using a numerical method. To do that, a modified version of two famous evolutionary genetic algorithm (GA) and particle swarm optimization (PSO) to obtain Pareto optimal solutions of the problem is employed. Numerical examples are presented to show the efficiency of the given approach. | ||
| کلیدواژه‌ها | ||
| Multi-objective optimal control problem؛ Pareto solution؛ Evolutionary algorithm؛ Discretization؛ Approximation | ||
| عنوان مقاله [English] | ||
| جواب های بهینه ی پارتوی مسائل کنترل بهینه چند هدفه به کمک الگوریتم های تکاملی | ||
| نویسندگان [English] | ||
| اکبر هاشمی برزآبادی1؛ منیژه حسن آبادی2؛ نوید سجادی3 | ||
| 1دانشگاه دامغان | ||
| 2دانشگاه دامغان | ||
| 3دانشگاه والادولید | ||
| چکیده [English] | ||
| در این مقاله روشی برای یافتن زوج بهینه کنترل و وضعیت، جهت مسائل کنترل بهینه چندهدفه، روشی بر پایه الگوریتم‌های تکاملی معرفی شده است. در این روش ابتدا شکل گسسته‌ای از فضای زمان-کنترل ارائه شده، سپس از فضای زمان-کنترل گسسته شده، توابع کنترل و وضعیت تکه‌ای خطی با استفاده از معادلات سیستم ساخته می‌شوند. دو روش تکاملی ژنتیک و ازدحام ذرات برای یافتن جواب‌های بهینه پارتو مسئله به کار می‌رود. جواب‌های عددی برای نشان دادن کارایی روش ارائه شده‌اند. | ||
| کلیدواژه‌ها [English] | ||
| مسئله کنترل بهینه چندهدفه, جواب پارتو, الگوریتم تکاملی, گسسته‌سازی, تقریب | ||
| مراجع | ||
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