Algebraic Parameter Identification in a Thermal System Described by Newton’s Law of Cooling
DOI:
https://doi.org/10.20983/culcyt.2026.2.2.2Keywords:
algebraic identification, thermal system, Newton’s law of cooling, parameter estimation, physical parametersAbstract
This work presents the implementation of an algebraic identification technique to develop identifiers for the physical parameters of a thermal system governed by Newton’s law of cooling. The algebraic identifiers are derived from the dynamic model of the thermal system and are used to estimate the cooling parameter k, the ambient temperature Tₐ, and the initial body temperature T₀, using only the time-varying temperature signal as input. The results show that the proposed algebraic identifiers can accurately determine the physical parameters of the thermal system, even in the presence of input-signal noise. In addition, the implemented invariant filter enhances the convergence of the identification process when the temperature signal is corrupted by noise.
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Copyright (c) 2026 José Gabriel Mendoza Larios, Eduardo Barredo Hernández, Luis Vázquez Sánchez, Miguel Alberto Domínguez Gurría, Demetrio Pérez Vigueras
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