Eur. Phys. J. Plus (2015) 130: 241
https://doi.org/10.1140/epjp/i2015-15241-y

Regular Article

Side-by-side ANFIS as a useful tool for estimating correlated thermophysical properties

¹ PROMES-CNRS, Rambla de la Thermodynamique, Tecnosud, 66100, Perpignan, France
² Université de Perpignan Via Domitia, 52 Avenue Paul Alduy, 66860, Perpignan, France
³ GRESPI/ECATHERM, Université de Reims Champagne-Ardenne, BP 1039, 51687, Reims, France

^* e-mail: stephane.grieu@promes.cnrs.fr

Received: 23 April 2015
Accepted: 29 October 2015
Published online: 4 December 2015

Abstract

In the present paper, an artificial intelligence-based approach dealing with the estimation of correlated thermophysical properties is designed and evaluated. This new and “intelligent” approach makes use of photothermal responses obtained when homogeneous materials are subjected to a light flux. Commonly, gradient-based algorithms are used as parameter estimation techniques. Unfortunately, such algorithms show instabilities leading to non-convergence in case of correlated properties to be estimated from a rebuilt impulse response. So, the main objective of the present work was to simultaneously estimate both the thermal diffusivity and conductivity of homogeneous materials, from front-face or rear-face photothermal responses to pseudo random binary signals. To this end, we used side-by-side neuro-fuzzy systems (adaptive network-based fuzzy inference systems) trained with a hybrid algorithm. We focused on the impact on generalization of both the examples used during training and the fuzzification process. In addition, computation time was a key point to consider. That is why the developed algorithm is computationally tractable and allows both the thermal diffusivity and conductivity of homogeneous materials to be simultaneously estimated with very good accuracy (the generalization error ranges between 4.6% and 6.2%).