Direct Model Reference Adaptive Control for Linear Fractional System of Commensurate Order with Time Delay using Smith Predictor


Marwa Boudana
Department of E.E.A, National Polytechnic School of Constantine, Constantine, Algeria, and LS2N-Ecole Centrale de Nantes, Nantes, France
Samir Ladaci
Department of Automatics, Ecole Nationale Polytechnique, Elharrach, Algiers, Algeria
Jean Jacques Loiseau
LS2N-CNRS, Ecole Centrale de Nantes, Nantes


In this research work, a model reference adaptive control design is introduced in order to deal with a class of fractional order systems of commensurate order with time delay. By using a Smith predictor (SP) design, slightly different from the conventional SP based on a fractional order inner model. The strategy for adjusting the controller parameters is the MIT rule. Two simulation examples are provided to show the efficiency of the proposed control configuration for this class of fractional-order systems.

February 5, 2024