%0 Journal Article
%T A method for Sub-optimal control of the delayed fractional order linear time varying systems with computation reduction approach
%J Scientia Iranica
%I Sharif University of Technology
%Z 1026-3098
%A Yousefi Tabari, Mehdi
%A Rahmani, Zahra
%A Vahidian Kamyad, Ali
%A Sadati Rostami, Seyed Jalil
%D 2022
%\ 11/21/2022
%V
%N
%P -
%! A method for Sub-optimal control of the delayed fractional order linear time varying systems with computation reduction approach
%K Fractional optimal control
%K Delay system
%K Linear programming
%K Caputo derivative
%K Grünwald–Letnikov approximation
%R 10.24200/sci.2022.60061.6575
%X A method for designing suboptimal control for a class of delayed fractional systems is proposed in this paper. Despite theoretical advances in fractional mathematics and computational techniques for solving fractional optimal control (FOC) problems, as well as a lack of comprehensive analytical methods, numerical methods have been developed. For this purpose, in this study, the necessary optimal conditions for the time-delay fractional optimal control (TDFOC) problem are presented first; Then an algorithm for the numerical solution to this problem is suggested. This algorithm is based on a fractional derivative approximation and linear interpolation for delayed arguments. According to this method, the TDFOC problem is transformed into a system of algebraic equations that can be solved numerically. The proposed method's efficiency is assessed by solving several numerical examples.
%U https://scientiairanica.sharif.edu/article_23016_0ba203e664a2543f86c1afc50e411d4c.pdf