کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11003764 | 1462578 | 2019 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems
ترجمه فارسی عنوان
روش های رونویسی مستقیم بر اساس تقریب یکنواخت تقسیم فرمول برای حل مشکلات غیر خطی بهینه کنترل کسری
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
This paper presents three direct methods based on Grünwald-Letnikov, trapezoidal and Simpson fractional integral formulas to solve fractional optimal control problems (FOCPs). At first, the fractional integral form of FOCP is considered, then the fractional integral is approximated by Grünwald-Letnikov, trapezoidal and Simpson formulas in a matrix approach. Thereafter, the performance index is approximated either by trapezoidal or Simpson quadrature. As a result, FOCPs are reduced to nonlinear programming problems, which can be solved by many well-developed algorithms. To improve the efficiency of the presented method, the gradient of the objective function and the Jacobian of constraints are prepared in closed forms. It is pointed out that the implementation of the methods is simple and, due to the fact that there is no need to derive necessary conditions, the methods can be simply and quickly used to solve a wide class of FOCPs. The efficiency and reliability of the presented methods are assessed by ample numerical tests involving a free final time with path constraint FOCP, a bang-bang FOCP and an optimal control of a fractional-order HIV-immune system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 67, February 2019, Pages 334-350
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 67, February 2019, Pages 334-350
نویسندگان
Abubakar Bello Salati, Mostafa Shamsi, Delfim F.âM. Torres,