Algebric method and LSCR technique for estimating the parameters of a bioreactor

Abstract

In this paper, we are interested in identifying the parameters of a bioreactor in the case of a nitrification process. To represent the uncertainties that affect these parameters, we fo cus on the set approach based on interval arithmetic, in particular set inversion, to obtain guaranteed results. First, a method of studying observability and identifiability by an algebraic method is carried out. The LSCR (Leave out Sign dominant Correlat ion Regions) method used in this article for the identification of parameters is based on the construction of non asymptotic confidence regions for the parameters of the dynamic system This method, using the calculation of the correlation functions, makes it possible to construct regions containing the real value of the parameters to be identified with a guaranteed probability and with a minimum knowledge of noise. For guaranteed results, set inversion has been associated with this approach.