Title : ( An approximation method for numerical solution of multi-dimensional feedback delay fractional optimal control problems by Bernstein polynomials )
Authors: elahe safaie , Mohammad Hadi Farahi ,
Full TextAbstract
In this paper, we present a new method for solving fractional optimal control problems with delays in state and control. This method is based upon Bernstein polynomials basis and feedback control. The main advantage of feedback or closed-loop control is that one can monitor the e ect of such control on the system and modify the output accordingly. In this work, we use Bernstein polynomials to transform the fractional time-varying multi-dimensional optimal control system with both state and control delays, into an algabric system in terms of the Bernstein coecients approximating state and control functions. We use Caputo derivative of degree 0 < 1 as the fractional derivative in our work. Finally, some numerical examples are given to illustrate the e ectiveness of this method.
Keywords
, Delay fractional optimal control problem; Caputo fractional, derivative; Bernstein polynomial.
@article{paperid:1057337,
author = {Safaie, Elahe and Farahi, Mohammad Hadi},
title = {An approximation method for numerical solution of multi-dimensional feedback delay fractional optimal control problems by Bernstein polynomials},
journal = {Iranian Journal of Numerical Analysis and Optimization},
year = {2014},
volume = {4},
number = {1},
month = {May},
issn = {2423-6977},
pages = {77--94},
numpages = {17},
keywords = {Delay fractional optimal control problem; Caputo fractional; derivative; Bernstein polynomial.},
}
%0 Journal Article
%T An approximation method for numerical solution of multi-dimensional feedback delay fractional optimal control problems by Bernstein polynomials
%A Safaie, Elahe
%A Farahi, Mohammad Hadi
%J Iranian Journal of Numerical Analysis and Optimization
%@ 2423-6977
%D 2014
