Controller and observer designs for a class of TS descriptor systems with pole placement constraint

Benoît Marx (1) , José Ragot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper gives sufficient conditions for pole-clustering in LMI regions for a class of TS descriptor systems. First, the class of TS descriptor systems under study is discussed and it is shown to be generic. A strict LMI characterization of pole-clustering is given. Using this new characterization, the design of state-feedback controllers is proposed, in order that the finite dynamics of the closed-loop system lie in a specified LMI region. The design of observer such that the state estimation error dynamics are in a specified LMI region is also studied. Finally, an observer-based controller with pole clustering constraint on the closed-loop system is proposed. A numerical example illustrates the note.

Mots clés: takagi-sugeno systems; descriptor systems; pole clustering

Domaines: Automatique / Robotique

Benoît Marx, José Ragot. Controller and observer designs for a class of TS descriptor systems with pole placement constraint. 45th IEEE Conference on Decision and Control, CDC 2006, Dec 2006, San Diego, CA, United States. pp.6355-6360, ⟨10.1109/CDC.2006.377044⟩. ⟨hal-00121555⟩