Observer-based controller and separation principle for TS systems with unmeasurable premise variables

Mohammed El-Habib Dabladji (1) , Pierre Marie Damon (1) , Dalil Ichalal (1) , Hichem Arioui (1)

1 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes

This paper deals with the observer-based controller design for Takagi-Sugeno systems with unmeasurable premise variables. Under some assumptions (good choice of the controller structure and appropriate TS forms for the observer and controller gains), the proposed observer-based controller ensures the asymptotic convergence. Moreover, the separation principle is proved and independent LMI problems are obtained for the observer and the controller design. Numerical examples are given to illustrate the effectiveness of the proposed approach.

Mots clés: observer-based controller; separation principle; Takagi-Sugeno systems; unmeasurable premise variables

Domaines: Automatique / Robotique

Mohammed El-Habib Dabladji, Pierre Marie Damon, Dalil Ichalal, Hichem Arioui. Observer-based controller and separation principle for TS systems with unmeasurable premise variables. 2016 IEEE Conference on Control Applications (CCA 2016), Sep 2016, Buenos Aires, Argentina. pp.954--959, ⟨10.1109/CCA.2016.7587936⟩. ⟨hal-01399614⟩