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Thermal systems with long delay times and slow dynamic response are common in
industrial processes, where precise temperature regulation is necessary to ensure e ciency.
Traditional control strategies, speci cally Proportional Integral Derivative (PID) controllers,
struggle with systems that demonstrate signi cant delays. This dissertation seeks
to develop and implement a fractional-order controller for a thermal di usion system with
time delay.
In order to achieve this goal, a comparative study was carried out between the classical
and fractional controllers, along with an analysis of the thermal di usion system in order
to nd the fractional-order model that best represents its behaviour.
The controllers were tested through simulations, testing both performance and regression
metrics, as well as prediction techniques such as the Smith Predictor, anti-windup
system and non-linearities. The results demonstrated that the fractional controller outperformed
the classical ones, especially in the implemented system with a signi cant delay,
as it showed better robustness and response to the actual system, which was further con-
rmed after the frequency-domain studies, especially the Bode Diagrams. And, together
with the Root Locus, it con rmed the system's stability.
These results showed that the fractional-order controller with Smith Predictor and
Anti-windup is a viable solution for thermal systems with high delay values.
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Fractional controller Fractional caculus PID controller MATLAB FOMCON toolbox Heat diffusion systems
