Practical Application of Fractional Order Controllers to a Delay Thermal System

摘要

This paper provides an application of Fractional Model Predictive Control (FMPC) and fractional-order Proportional Integral controller (PI lambda) on a thermal system with time delay.The first controller is based on Grunwald-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 PI lambda parameters Experiment results onto a time delay thermal system are given to illustrate the effectiveness of the developed strategies.