Volterra model inversion using restored input feedback Application to an anaerobic digestor

This paper presents a way to obtain Volterra model inversion. A Volterra series expansion truncated to its first terms is used to represent a nonlinear system. An expansion of Volterra kernels on transfer functions is presented in order to obtain a more parsimonious model than the one expanded on generalized function bases. An inversion method is then proposed in order to restore Volterra model input from its output. At last, this method is experimentally validated in the case of a continuous anaerobic digestor.