Design of observers for Takagi-Sugeno systems with immeasurable premise variables : an L2 approach

Dalil Ichalal (1) , Benoît Marx (1) , José Ragot (1) , Didier Maquin (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

A new observer design method is proposed for Takagi-Sugeno systems with immeasurable premise variables. Since the state estimation error can be written as a perturbed system, then the proposed method is based on the L2 techniques to minimize the effect of the perturbations on the state estimation error. The convergence conditions of the observer are established by using the second method of Lyapunov and a quadratic function. These conditions are expressed in terms of Linear Matrix Inequalities (LMI). Finally, the performances of the proposed observer are improved by eigenvalues clustering in LMI region.

Keywords: Multiple model approach; nonlinear observer; immeasurable premise variables; L2 optimization; eigenvalues assignment; linear matrix inequality

Domains: Automatic

Dalil Ichalal, Benoît Marx, José Ragot, Didier Maquin. Design of observers for Takagi-Sugeno systems with immeasurable premise variables : an L2 approach. 17th IFAC World Congress, Jul 2008, Seoul, Corée du Sud. pp.2768-2773, ⟨10.3182/20080706-5-KR-1001.00466⟩. ⟨hal-00201030⟩