Asymptotically Stable Interval Observers for Planar Systems with Complex Poles

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

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
2 L2S - Laboratoire des signaux et systèmes
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; Automatique / Robotique

Frédéric Mazenc, Olivier Bernard. Asymptotically Stable Interval Observers for Planar Systems with Complex Poles. IEEE Transactions on Automatic Control, 2010, 55 (2), pp.523-527. ⟨hal-00547800⟩