حل مساله کنترل بهینه سیستم‌های تاخیری خطی به کمک توابع انتقال‌یافته چبیشف

نویسنده
هاجر علی مراد
دانشگاه جهرم
چکیده
سیستم‌های تاخیری مهم هستند و به‌دست آوردن جواب تحلیلی آنها دشوار است. از این‌رو برای حل مسایل کنترل بهینه با سیستم تاخیری از روش‌های عددی استفاده می‌شود. حل مسایل کنترل بهینه با استفاده از توابع متعامد در سالهای اخیر مورد توجه قرار گرفته است. توابع متعامد خاصی که تاکنون در این زمینه استفاده شده‌اند عبارتند ازتوابع والش، بلاک پالس و لگر. در این مقاله، کنترل بهینه سیستم‌های تاخیری با تابع تاخیر قطعه‌ای ثابت، به کمک توابع انتقال‌یافته چبیشف به یک مساله برنامه‌ریزی غیرخطی تبدیل می‌شود که با حل آن جواب تقریبی مساله اصلی به‌دست می‌آید. مثال‌های عددی به‌منظور بررسی کارآیی روش، آورده شده است.
کلیدواژه‌ها
توابع انتقال‌یافته چبیشف
توابع متعامد
سیستم‌های تاخیری
قطعه‌ای ثابت

عنوان مقاله English

Solution of optimal control piecewise constant linear delay systems using shifted chebyshev functions

نویسنده English

Hajar Alimorad
Jahrom University
چکیده English

Delay systems are important and it is difficult to obtain their analytical solution. Therefore, numerical methods are used to solve optimal control problems with delay systems. Solving optimal control problems using orthogonal functions has attracted much attention in recent years. Specific orthogonal functions that have been used so far in this field are the Walsh, block-pulse, and Laguerre functions. In this paper, the optimal control piecewise constant delay systems using shifted chebyshev functions are transformed into a nonlinear programming problem, so that by solving it, the approximate solution of the main problem is obtained. Numerical examples are given to evaluate the efficiency of the method.

کلیدواژه‌ها English

Shifted chebyshev functions
Orthogonal functions
Delay systems
Piecewise constant
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