Differential Transformation Method for Solving a Class of Nonlinear Optimal Control Problems
Publish Year: 1391
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICNMO01_065
تاریخ نمایه سازی: 19 اسفند 1391
Abstract:
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
Keywords:
Differential transformation method , Nonlinear optimal control problem , Pontryagin’s maximum principle
Authors
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