Title : ( An efficient numerical method for the optimal control of fractional-order dynamic systems )
Authors: Ehsan Mohammadzadeh , Naser Pariz , Seyed Kamal Hosseini Sani , Amin Jajarami ,
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Abstract
This paper aims to investigate an efficient numerical scheme for the optimal control of fractional-order dynamic systems.By using the Gru¨nwald–Letnikov approximation for the fractional derivatives and introducing a new transformation in the calculus of variations, the fractional optimal control problem under consideration is converted into a linear programming problem. Then, the internal model principle is employed in order to extend the new scheme for the fractional dynamic systems affected by the external persistent disturbances. Numerical examples and comparative results verify the validity and applicability of the new technique.
Keywords
, Fractional derivative, optimal control, Gru¨nwald–Letnikov approximation, linear programming, persistent disturbance
@article{paperid:1067304,
author = {Mohammadzadeh, Ehsan and Pariz, Naser and Hosseini Sani, Seyed Kamal and Amin Jajarami},
title = {An efficient numerical method for the optimal control of fractional-order dynamic systems},
journal = {Journal of Vibration and Control},
year = {2018},
volume = {24},
number = {22},
month = {January},
issn = {1077-5463},
pages = {5312--5320},
numpages = {8},
keywords = {Fractional derivative; optimal control; Gru¨nwald–Letnikov approximation; linear programming; persistent disturbance},
}
%0 Journal Article
%T An efficient numerical method for the optimal control of fractional-order dynamic systems
%A Mohammadzadeh, Ehsan
%A Pariz, Naser
%A Hosseini Sani, Seyed Kamal
%A Amin Jajarami
%J Journal of Vibration and Control
%@ 1077-5463
%D 2018
