Modelado y control de temperatura para una clase de sistema derivado de la ley de enfriamiento de Newton

Manuel Alejandro Ojeda-Misses

doi:10.29057/icbi.v10iEspecial4.8950

Manuel Alejandro Ojeda-Misses Tecnológico de Estudios Superiores de Huixquilucan https://orcid.org/0000-0003-3963-5399

DOI: https://doi.org/10.29057/icbi.v10iEspecial4.8950

Keywords: Control, Temperature, Newton's law of cooling, Linear Quadratic Regulator

Abstract

In this paper the modeling and control for a class of system derived from Newton's law of cooling is presented. In this paper a thermal system is represented by a concentrated parameter model, whose substances are characterized by a resistance to heat flow having a thermal capacitance, which usually have heat loss. Therefore, it is required to implement a controller class that allows to optimize the cost function and allows to take advantage of the performance with the least energy loss. To satisfy the above, an LQR controller is used to minimize the performance criteria. The results are carried out through simulations and experiments in real time using Matlab, Arduino and the W1209 thermostat. Finally, the article presents the results that allow validating the performance of the proposed model and the implemented controller.

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