Multiquadratic stability and stabilization of continuous-time multiple-model

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

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with the stability analysis of a system represented by a multiple model. Based on a multiquadratic Lyapunov function candidate (MQLF), new asymptotic stability conditions for continuous case are presented in linear matrix inequalities (LMI) form. These stability conditions, extended to the controller synthesis, are formulated in bilinear matrix inequalities (BMI). Examples illustratre the proposed approach.

Keywords: Multiple model; nonlinear system; stability analysis; stabilisation; Lyapunov method; linear matrix inequalities

Domains: Automatic

Mohammed Chadli, José Ragot, Didier Maquin. Multiquadratic stability and stabilization of continuous-time multiple-model. 11th IFAC Symposium on Automation in Mining, Mineral and Metal processing, MMM 2004, Sep 2004, Nancy, France. pp.CDROM. ⟨hal-00151293⟩