سال انتشار: ۱۳۹۱

محل انتشار: کنفرانس بین المللی مدل سازی غیر خطی و بهینه سازی

تعداد صفحات: ۷

نویسنده(ها):

e Hesameddini – Corresponding author: Department of Applied Mathematics, Faculty of Basic Sciences, Shiraz University of Technology
a Fakharzadeh. J – Department of Applied Mathematics, Faculty of Basic Sciences, Shiraz University of Technology, Modarres Blvd
m Soleimanivareki – Department of Mathematics, Faculty of Basic Sciences, Islamic Azad university–science research Ayatollah Amoli branch
h Alimorad Dast khezr – Department of Applied Mathematics, Ph.D student, Shiraz University of Technology, Modarres Blvd

چکیده:

In this paper, the Dِifferential Transformation Method (DTM) is suggested to solve a class of nonlinear optimal control problems. By applying the DTM, nonlinear two-point boundary value problem (TPBVP)which is derived from the Pontryagin’s maximum principle, will be transformed to a sequence of lineartime-invariant TPBVP’s. Comparing the DTM to optimal homotopy perturbation method shows the efficiency and advantages of this method. In this method, a few iterations are required to find a suboptimal trajectory and control pair