Slaheddine Najar

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This paper presents a new design method of a fractional order PI (FO-PI) for time delay systems based on the min-max numerical optimization. The proposed method uses a constrained optimization algorithm to determine the unknown parameters of the controller and has an objective to improve the transient response, stability margin, stability robustness and(More)
This work is devoted to the stability and resonance study of the elementary fractional transfer function of the third kind. Some basic properties of this transfer function which is written in the canonical form and characterized by a non commensurate order, a pseudo-damping factor and a natural frequency, are presented. A resonance and stability condition(More)
The paper deals with fractional residual evaluation. Three methods to evaluate fractional residuals generated by dynamic parity space method are presented. They are based on the fractional derivative approximations: the Grunwald, the pole-zero and the Diethelm approximations. They are compared in order to select the best method in terms of precision and(More)
This paper deals with a new design method of a fractional PID controller. The proposed method is based on a numerical constrained Min-Max optimization algorithm. Its main objective is the improvement of the transient response, the stability margin, the robustness and the load disturbance rejection capability. All these performances are tested through a(More)
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