A unified approach for the identification of SISO/MIMO Wiener and Hammerstein systems

Fayçal Ikhouane (1) , Fouad Giri (2)

1 Departamento de Matemática Aplicada III [Barcelona]
2 Equipe Automatique - Laboratoire GREYC - UMR6072

Hammerstein and Wiener models are nonlinear representations of systems composed by the coupling of a static nonlinearity N and a linear system L in the form N-L and L-N respectively. These models can represent real processes which made them popular in the last decades. The problem of identifying the static nonlinearity and linear system is not a trivial task, and has attracted a lot of research interest. It has been studied in the available literature either for Hammerstein or Wiener systems, and either in a discrete-time or continuous-time setting. The objective of this paper is to present a uni ed framework for the identi cation of these systems that is valid for SISO and MIMO systems, discrete and continuous-time setting, and with the only a priori knowledge that the system is either Wiener or Hammerstein.

Mots clés: Nonlinear system identification; Wiener systems; Hammerstein systems

Domaines: Automatique; Automatique / Robotique

Fayçal Ikhouane, Fouad Giri. A unified approach for the identification of SISO/MIMO Wiener and Hammerstein systems. 16th IFAC Symposium on System Identification, Jul 2012, Bruxelles, Belgium. pp.Pages 1717-1727, ⟨10.1016/j.jfranklin.2013.12.016⟩. ⟨hal-01061192⟩