Fractional control of a heat diffusion system

SANTOS, TIAGO FILIPE RIBEIRO

http://hdl.handle.net/10400.22/30520

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Authors

SANTOS, TIAGO FILIPE RIBEIRO

Advisor(s)

Jesus, Isabel Maria de Sousa de

Abstract(s)

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.