Title: Self-tuning fractional order PI^λD^µ controller based on extremum seeking approach

Authors: Ammar Neçaibia; Samir Ladaci

Addresses: Unit of Research in Renewable Energies in the Saharan Medium, CEDR – EPST, URER-MS, Adrar 01000, Algeria; Department of Electrical Engineering, Skikda '20th August 1955' University, BP: 26, Skikda 21000, Algeria ' Department of Electrical Engineering, National Polytechnic School of Constantine, Ali Mendjli, Constantine 25000, Algeria; SP-Lab Laboratory, University of Constantine 1, Department of Electronics, Constantine 25000, Algeria

Abstract: Fractional PID (PI^λD^µ) controllers are not commonly used in industry when compared to classical PID controllers. The main reason is that the fractional controller parameters tuning remains an open problem. In this work we propose to generalise a classical PID tuning method based on extremum seeking (ES) approach to PI^λD^µ control parameters tuning in order to achieve optimal performance. ES is a non-model-based method which searches online for the parameters that minimise a cost function which is representative of the controller's performance. The main advantage of this method is that it can be applied to a plant in which there is no knowledge of the model. Comparative simulation examples show the effectiveness of the proposed strategy for fractional order PI^λD^µ tuning.

Keywords: extremum seeking; fractional PID control; auto-tuning; parameter optimisation; simulation.

DOI: 10.1504/IJAAC.2014.063361

International Journal of Automation and Control, 2014 Vol.8 No.2, pp.99 - 121

Received: 29 Aug 2013
Accepted: 29 Mar 2014
Published online: 30 Jul 2014 *

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