Réduction d'un système linéaire et invariant par la technique de Moore. Application à la thermique du bâtiment

Abstract

The realisation of efficient computer applications in the area of building environment simulation requires model reduction to reduce the state dimension of the implemented physical models. The objective of this work is to present our results on model reduction algorithm selection in buildings. The results from an evaluation study based on an a-posteriori comparison between the Balanced Truncation technique and that of modal reduction techniques of Marshall and Michailesco are presented. In particular, the method of Moore is demonstrated to be efficient and leads to a third order reduced model with a large frequency band of operation. Finally, towards the larger goal of model reduction alogrithm selection in building applications, it is hoped that our approach will aid in gaining a better understanding of the different techniques.