Comments on “State observation of a fixed-bed reactor based on reduced bilinear models”

Hugues Rafaralahy (1) , Michel Zasadzinski (1) , Mohamed Boutayeb (2) , Mohamed Darouach (1)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection

In this note, we point out that the proof of the convergence of the bilinear systems observer proposed by Hua (Int. J. Syst. Sci., 1993) is erroneous. Furthermore, the proposed existence conditions are not sufficient as it was claimed. To overcome these difficulties, we propose a straigthforward proof of the observer's convergence based on Lyapunov stability and we deduce sufficient existence conditions.

Mots clés: Bilinear systems; Observers; Stability

Domaines: Automatique / Robotique

Hugues Rafaralahy, Michel Zasadzinski, Mohamed Boutayeb, Mohamed Darouach. Comments on “State observation of a fixed-bed reactor based on reduced bilinear models”. International Journal of Systems Science, 1996, 27 (3), pp.349-351. ⟨hal-00098272⟩