Title: Fractional PID controller design for nonlinear systems based on singular perturbation technique

Authors: Mohamed Lazhar Wardi; Messaoud Amairi; Mohamed Naceur Abdelkrim

Addresses: Research Laboratory Modeling, Analysis and Control of Systems, National School of Engineering of Gabes, University of Gabes, Tunisia ' Research Laboratory Modeling, Analysis and Control of Systems, National School of Engineering of Gabes, University of Gabes, Tunisia ' Research Laboratory Modeling, Analysis and Control of Systems, National School of Engineering of Gabes, University of Gabes, Tunisia

Abstract: This paper deals with the output regulation of nonlinear control systems in order to guarantee desired performances in the presence of plant parameters variations and external disturbances. The proposed control law structures are based on the fractional order PI (FOPI) and PID (FOPID) control schemes. By introducing the two-time-scale notions in the closed-loop system, the presented design methodology of fractional PID control guarantees desired transients. Then, the singular perturbations technique is used to analyse the closed-loop system properties and to get explicit expressions for evaluation of the controller parameters. The tuning of the controller parameters is based on a constrained optimisation algorithm. Simulation examples are presented to show the effectiveness of the proposed method.

Keywords: fractional order controller; nonlinear systems; singular perturbations technique; robustness.

DOI: 10.1504/IJDSSS.2018.093172

International Journal of Digital Signals and Smart Systems, 2018 Vol.2 No.2, pp.95 - 120

Received: 13 Jul 2017
Accepted: 03 Nov 2017
Published online: 13 Jul 2018 *

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