Title: On the PID control of systems with large delays

Authors: Houda Ben Jmaa Derbel

Addresses: Research Unit on Renewable Energies and ELEctric Vehicles (RELEV), Ecole Nationale d'Ingenieurs de Sfax, Sfax 3038, Tunisie

Abstract: This paper deals with the control of systems with pure delays. Linear first order systems with pure delays are considered. Proportional-Integral-Derivative (PID) controllers were determined by the minimisation of the settling time. The optimisation procedure used genetic algorithms. Empiric expressions of the PID parameters has been found. These expressions depend on the static gain, the time constant of the first order model and its pure delay. The obtained PID parameters give good and satisfactory performances. A discussion with respect to the model parameter was also presented. As an illustration, the PID control of a high order system was considered.

Keywords: PID control; delay systems; genetic algorithms; parameter uncertainties; blower systems; optimisation; high order systems.

DOI: 10.1504/IJMIC.2007.014328

International Journal of Modelling, Identification and Control, 2007 Vol.2 No.1, pp.66 - 71

Published online: 01 Jul 2007 *

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