Saturday , December 15 2018

Lead-lag Controller Design for Time Delay Systems Using Genetic Algorithms

Nidhal BEN HASSEN1, Karim SAADAOUI1,2, Mohamed BENREJEB1
1Université de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis,
Laboratoire de Recherche en Automatique (LARA),
B.P. 37, 1002 Tunis, Le Belvédère, Tunisia.
2 Computer Engineering Department,
College of computers and Information Technology, Taif University,
Taif, Saudi Arabia.
Nidhal.Benhassen@enit.rnu.tn,karim.saadaoui@isa2m.rnu.tn, mohamed.benrejeb@enit.rnu.tn

ABSTRACT: In this article, the set of all stabilizing lead-lag controllers applied to a class of linear time delay systems is obtained. The original problem is divided into two sub-problems with the help of Kharitonov’s Lemma. This essential step allows the application of the D-decomposition method and the determination of the complete set of stability regions. In the second part of this paper, stability regions are used as search space for Genetic Algorithms (GA) to minimize several performance indices of the closed loop system. An example is given to show the effectiveness of the proposed controller design.

KEYWORDS: Time delay systems; Second order phase lead-lag controller; Stability; D-decomposition; Genetic Algorithms.

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CITE THIS PAPER AS:
Nidhal BEN HASSEN, Karim SAADAOUI, Mohamed BENREJEB,
Lead-lag Controller Design for Time Delay Systems Using Genetic Algorithms, Studies in Informatics and Control, ISSN 1220-1766, vol. 26(1), pp. 87-94, 2017.

https://doi.org/10.24846/v26i1y201710