Title: Social spider optimisation based identification and optimal control of fractional order system

Authors: Sandip A. Mehta; Dipak M. Adhyaru

Addresses: Department of Instrumentation and Control Engineering, Institute of Technology, Nirma University, Ahmedabad-382481, Gujarat, India ' Department of Instrumentation and Control Engineering, Institute of Technology, Nirma University, Ahmedabad-382481, Gujarat, India

Abstract: Fractional order derivatives and integrals are infinite-dimensional operators and non-local in time. Currently, the researchers are working on the solution of the fractional optimal control problem using some approximation and numerical analysis. In this paper, a social spider-based constrained optimisation method has been proposed to control the fractional-order system. An effort has been made to translate the fractional optimal control problem to the standard unity feedback system. A multi Simpson method has been used to solve the integration of the performance function. The proposed method has not utilised any matrix computation and it has been demonstrated that it is easier to implement the fractional order optimal control (FOCP) method on the given hardware. Along with the optimal control, a simple identification technique has been proposed for the fractional-order system. The optimal controller has been designed using the computational intelligence techniques. The error analysis and the performance analysis have been carried out for the proposed methods.

Keywords: fractional-order system; SSO-C; FOCP; fractional order optimal control; metaheuristic algorithms.

DOI: 10.1504/IJMIC.2021.119033

International Journal of Modelling, Identification and Control, 2021 Vol.37 No.1, pp.80 - 93

Received: 26 Jun 2020
Accepted: 08 Dec 2020

Published online: 13 Nov 2021 *

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