Doctoral Dissertations

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Contribution à la Conception de nouveaux schémas de techniques de commandes d’ordre fractionnaire pour l’amélioration des performances des systèmes industriels
(University of M'Sila, 2014-10-16) DIB Riad
Lately, there has been a significant focus on fractional order systems and their approximation methods in research. These methods have proven to be effective in improving the dynamics of plants in terms of time and frequency performance. This study introduces a new approach for comparing different approximation methods of fractional order systems and their impact on disturbance rejection in PID control of DC motor. The approach involves fractionalizing an integer order derivative operator in the original system. The fractionalized terms are implemented using established approximation methods, and the best method is determined by comparing the responses of the original integer system with those of the fractionalized systems. Simulation examples demonstrate that the fractionalization approach is effective in selecting the best method and provides good disturbance rejection in PID control of DC motor. This approach can be extended to other numerical approximation methods and applied in the field of systems control.