# Fractional Order Modelling for Different Temperature Processes

• Ashna Virdikar
• Dr. Saurav Mitra

### Abstract

In this paper, a new approach is proposed to
model the dynamics of temperature profile and
temperature tracking of three different processes by
using fractional calculus. Model analysis is exhibited
by comparing fractional ordered PID controllers which
are also tuned by using fractional calculus, and
traditional integer ordered PID controllers. It is seen
that by using fractional order tuning methods, more
accurate results are obtained. Main purpose of this
review paper is to show the benefits of the fractional
calculus based modelling in system temperature
profiling toward better results. Comparing the results of
fractional order PID and traditional PI/PID controllers
it is clear that the proposed tuning method is more
beneficial for better temperature profiling.

Keywords: Temperature control, temperature, fractional order controllers, mathematical model, fractional calculus.

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