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Journal of Applied Nonlinear Dynamics 8(3) (2019) 509--518 | DOI:10.5890/JAND.2019.09.012

Aymen Rhouma, Sami Hafsi, Kaouther Laabidi

Shaqra University, Kingdom of Saudi Arabia

Université deTunis El Manar, Ecole Nationale d’Ingénieurs deTunis, Tunisie

LR11ES20 Laboratoire Analyse, Conception et Commande des Syst`emes, Tunis 1002, Tunisie

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Abstract

In this paper, an application of fractional-order PIλ controller is given as an alternative to solve some control problems that can arise. It aims to apply the analytical tuning procedure to control the heat flow systems. This system, modeled by first-order system involving time delay, is one with open loop characteristic equations are fractional order quasi-polynomials. Using the proposed method, the entire stability region of PI λ controllers is obtained and visualized in the plane (Kp,Ki, λ ). The simulation was carried out on thermal systems and the results demonstrate the effectiveness of the proposed type of controllers and the tuning rule.

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