Title: Robust PI/PID controller for interval first order system with time delay

Authors: Rihem Farkh, Kaouther Laabidi, Mekki Ksouri

Addresses: Research Unit on Systems Analysis and Control, National School Engineering of Tunis, BP, 37, Le Belvedere, 1002 Tunis, Tunisia. ' Research Unit on Systems Analysis and Control, National School Engineering of Tunis, BP, 37, Le Belvedere, 1002 Tunis, Tunisia. ' Research Unit on Systems Analysis and Control, National School Engineering of Tunis, BP, 37, Le Belvedere, 1002 Tunis, Tunisia

Abstract: In this paper, a new approach to determine the entire set of stabilisng PI/PID parameters for time delay process with bounded uncertainties has been developed. Our method exploited a combination of the generalised Kharitonov theorem and the Hermit Biehler theorem extended for quasipolynomials to synthesise a robustly stabilising controller. By using a constructive procedure, we obtain all PI and PID gains that stabilise an interval first order delay system. Finally, numerical simulations are given to support our theoretical results.

Keywords: time delay systems; generalised Kharitonov theorem; GKT; PI controllers; PID controllers; Hermit-Biehler theorem; stability region; interval plants; uncertainties; simulation; interval first order systems.

DOI: 10.1504/IJMIC.2011.040491

International Journal of Modelling, Identification and Control, 2011 Vol.13 No.1/2, pp.67 - 77

Published online: 31 May 2011 *

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