Title: Moth-flame optimisation algorithm-based fractional order PIλDμ controller with MRAC tuning configuration

Authors: Bachir Bourouba; Samir Ladaci; Abdelhafid Chaabi

Addresses: Department of Electrical Engineering, Setif 1 University, El Bez, Sétif 19000, Algeria ' Department of EEA, National Polytechnic School of Constantine, Ali Mendjli, Constantine 25000, Algeria; SP-Lab Laboratory, Department of Electronics, University of Constantine 1, Constantine 25000, Algeria ' Department of Electronics, University Mentouri of Constantine, Route Ain El-Bey, Constantine 25000, Algeria

Abstract: This paper proposes a new fractional-order PID controller (FOPID) design based on the model reference adaptive control (MRAC) configuration using a practical numerical search method called moth-flame optimisation (MFO) algorithm for the parameters' adjustment. The five parameters of the fractional order PIλDμ controller, namely the coefficients KP, KI and KD and the fractional integral and derivative orders λ and μ are optimised by evaluating an exact quadratic performance index. Numerical simulation examples illustrate the effectiveness of the proposed tuning method for different plant model structures, and to show relative performance enhancement comparatively to other parameters' tuning strategies.

Keywords: moth-flame optimisation algorithm; fractional order PIλDμ controller; model reference adaptive control; MRAC; parameter tuning.

DOI: 10.1504/IJSCC.2018.090745

International Journal of Systems, Control and Communications, 2018 Vol.9 No.2, pp.148 - 171

Received: 28 Nov 2016
Accepted: 28 Jul 2017

Published online: 16 Jan 2018 *

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