Aymen Rhouma1,∗, Sami Hafsi2,†, Faouzi Bouani3
Computer Systems Science and Engineering, Vol.34, No.5, pp. 305-313, 2019, DOI:10.32604/csse.2019.34.305
Abstract This paper provides an application of Fractional Model Predictive Control (FMPC) and fractional-order Proportional Integral controller (P Iλ) on a thermal
system with time delay.The first controller is based on Grünwald-Letnikov’s method to predict the future dynamic behavior of the system. This method
consists in replacing the non-integer derivation operator of the adopted system representation by a discrete approximation. Therefore, this controller is
developed on the basis of a fractional order model. However, the second controller is founded on an extended version of Hermite-Biehler theorem to
determine the complete set stabilizing P Iλ parameters Experiment results onto a time delay… More >