Non quadratic stabilization of multiple models

Mohammed Chadli (1) , Didier Maquin (1) , José Ragot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with the stabilization of Takagi-Sugeno models (T-S) using state feedback controllers. New sufficient stability conditions are given for both continuous and discrete T-S models. The stability conditions, formulated in term of bilinear matrix inequalities (BMIs), are based on a piecewise quadratic Lyapunov function and the use of the so-called S-procedure. A method of linearisation, applied on the obtained BMIs conditions, is presented.

Keywords: T-S model; multiple models; controller synthesis; Lyapunov methods; S-procedure; BMIs

Domains: Automatic

Mohammed Chadli, Didier Maquin, José Ragot. Non quadratic stabilization of multiple models. 12th Mediterranean Conference on Control and Automation, MED'04, Jun 2004, Kusadasi, Turkey. pp.CDROM. ⟨hal-00151303⟩