On the simultaneous stabilization of three or more plants

Christophe Fonte (1) , Michel Zasadzinski (1) , Christine Bernier-Kazantsev (2) , Mohamed Darouach (1)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 IECN - Institut Élie Cartan de Nancy

In this paper, the problem of the simultaneous stabilization of three multivariable plants is addressed. We consider the general case where the existence of a unit controller cannot be used as a sufficient condition to guarantee the existence of a simultaneous controller for three multivariable plants. The sufficient conditions given in this paper lead to a constructive controller design to stabilize simultaneously three multivariable plants. A generalization is proposed for stabilizing simultaneously n multivariable plants.

Domaines: Automatique / Robotique

Christophe Fonte, Michel Zasadzinski, Christine Bernier-Kazantsev, Mohamed Darouach. On the simultaneous stabilization of three or more plants. IEEE Transactions on Automatic Control, 2001, 46 (7), pp.1101-1107. ⟨hal-00098116⟩