An Explicit Single-step Method for Numerical Solution of Optimal Control Problems
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
M. Ebadi
1
(Department of Mathematics, University of Farhangian, Tehran, Iran.)
I. Malihmaleki
2
(Department of Mathematics, Payam-e-Nour University, Tehran, Iran)
AR. Haghigi
3
(Department of Mathematical, Technical and Vocational University (TVU), Tehran, Iran.)
A. Ebadian
4
(Department of Mathematics, Urmia ,University, Urmia, Iran.)
کلید واژه: FBSM, Hybrid methods, stability analysis, OCP,
چکیده مقاله :
In this research we used forward-backward sweep method(FBSM) in order to solve optimal control problems. In this paper, one hybrid method based on ERK method of order 4 and 5 are proposed for the numerical approximation of the OCP. The convergence of the new method has been proved .This method indicate more accurate numerical results compared with those of ERK method of order 4 and 5 for solving OCP.
در این پژوهش، روش پیشرو-پسرو جاروب، برای حل مسائل کنترل بهینه به کار برده شده و یک روش هیبریدی بر اساس روش های صریح رانگ – کوتا از مرتبه 4و5 برای تقریب عددی مسائل کنترل بهینه پیشنهاد شده است. همگرایی روش اثبات گردیده است و دقت این روش برای حل مسائل کنترل بهینه، از هردو روش رانگ – کوتای مرتبه 4و5 بیشتراست.
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