Asymptotically stable interval observers for planar systems with complex poles

Frédéric F. Mazenc (1, 2) , Olivier Bernard (3)

1 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
2 MERE - Water Resource Modeling
3 COMORE - Modeling and control of renewable resources

In some parametric domains, the problem of designing an exponentially stable interval observer for an exponentially stable two dimensional time-invariant linear system is open. We show that, in some cases, no linear time-invariant change of coordinates can help to determine an exponentially stable interval observer. Next, we solve the problem by constructing interval observers of a new type, which have as key feature the property of being time-varying. This new design is applied to the chaotic Chua's system.

Mots clés: OBSERVERS FOR NONLINEAR SYSTEMS; CHAOTIC SYSTEMS; EXPONENTIAL STABILITY; INTERVAL OBSERVER; ROBUSTNESS; TIME-VARYING; OBSERVATEUR INTERVALLE

Mots clés: UNCERTAIN SYSTEMS; OBSERVATEUR POUR SYSTEME NON LINEAIRE; SYSTEME INCERTAIN; SYSTEME CHAOTIQUE

Domaines: Automatique

Frédéric F. Mazenc, Olivier Bernard. Asymptotically stable interval observers for planar systems with complex poles. European control conference 2009 : ECC'09, Aug 2009, Budapest, Hungary. ⟨hal-02822242⟩