TY  - EJOU
AU  - Rhouma, Aymen 
AU  - Hafsi, Sami 
AU  - Bouani, Faouzi 

TI  - Practical Application of Fractional Order Controllers to a Delay Thermal System
T2  - Computer Systems Science and Engineering

PY  - 2019
VL  - 34
IS  - 5
SN  - 

AB  - This paper provides an application of Fractional Model Predictive Control (FMPC) and fractional-order Proportional Integral controller (<i>P I</i><sup>λ</sup>) 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 <i>P I</i><sup>λ</sup> parameters Experiment results onto a time delay thermal system are given to illustrate the effectiveness of the
developed strategies.
KW  - Fractional Model Predictive Control
KW  -  Grünwald-Letnikov’s method
KW  -  fractional order PI controller
KW  -  Hermite–Biehler theorem
KW  -  Delaythermal system

DO  - 10.32604/csse.2019.34.305