Title: Moth-flame optimisation algorithm-based fractional order PI^λD^μ 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 PI^λD^μ controller, namely the coefficients K_P, K_I and K_D 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 PI^λD^μ 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: 27 Mar 2018 *

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