Title: Fractional PID min-max optimisation-based design using dominant pole placement

Authors: Bchira Saidi; Messaoud Amairi; Slaheddine Najjar; Mohamed Aoun

Addresses: Research Laboratory Modeling, Analysis and Control of Systems (MACS)06/LR/11-12, National Engineering School of Gabes (ENIG), University of Gabes, Omar Ibn el Khattab Street, 6029 Gabes, Tunisia ' Research Laboratory Modeling, Analysis and Control of Systems (MACS)06/LR/11-12, National Engineering School of Gabes (ENIG), University of Gabes, Omar Ibn el Khattab Street, 6029 Gabes, Tunisia ' Research Laboratory Modeling, Analysis and Control of Systems (MACS)06/LR/11-12, National Engineering School of Gabes (ENIG), University of Gabes, Omar Ibn el Khattab Street, 6029 Gabes, Tunisia ' Research Laboratory Modeling, Analysis and Control of Systems (MACS)06/LR/11-12, National Engineering School of Gabes (ENIG), University of Gabes, Omar Ibn el Khattab Street, 6029 Gabes, Tunisia

Abstract: This paper deals with a new design method of a fractional order PID controller for time-delay systems based on min-max numerical optimisation. The proposed design method uses a constrained optimisation algorithm to determine the unknown parameters of the controller. The main objective of the proposed method is to improve the transient time response, the stability margin, the robustness and the load disturbance rejection capability. All of these performances are tested through simulation examples.

Keywords: constrained numerical optimisation; fractional PID; stability robustness; uncertainty; time delay system.

DOI: 10.1504/IJSCC.2018.095263

International Journal of Systems, Control and Communications, 2018 Vol.9 No.4, pp.277 - 305

Received: 15 Dec 2017
Accepted: 27 Feb 2018

Published online: 16 Aug 2018 *

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