Identification Scheme for Hammerstein Output Error models with Bounded Noise

Mathieu Pouliquen (1, 2) , Eric Pigeon (2) , Olivier Gehan (2)

1 LAC - Laboratoire d'automatique de Caen
2 Equipe Automatique - Laboratoire GREYC - UMR6072

This technical note presents a method for the identification of Hammerstein Output Error (HOE) models corrupted by bounded noise. The method is based on an iterative scheme using two Optimal Bounding Ellipsoid (OBE) type algorithms. The proposed approach allows the joint estimation of the linear part and of the nonlinear part with a low computational burden. A numerical example is given so as to show the efficiency of the method.

Mots clés: Computational modeling; Ellipsoids; Estimation; Algorithm desing and analysis; Approximation algorithms; Stability analysis; Silicon; Identification; Iterative methods; Linear systems; Nonlinear control systems; Optimal control

Domaines: Automatique / Robotique

Mathieu Pouliquen, Eric Pigeon, Olivier Gehan. Identification Scheme for Hammerstein Output Error models with Bounded Noise. IEEE Transactions on Automatic Control, 2016, 61 (2), pp.550-555. ⟨10.1109/TAC.2015.2444151⟩. ⟨hal-01305877⟩