A method for Sub-optimal control of the delayed fractional order linear time varying systems with computation reduction approach

Document Type : Article

Authors

1 Babol Noshirvani University of Technology, Babol, Iran

2 Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran.

3 Ferdowsi University of Mashhad, Mashhad, Iran.

Abstract

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.

Keywords

Scientia Iranica

Articles in Press, Accepted Manuscript
Available Online from 21 November 2022

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