Interval Observers for Linear Systems with Delay

Frederic Mazenc (1) , Silviu-Iulian Niculescu (2) , Olivier Bernard (3)

1 ASB - Analyse des Systèmes et Biométrie
2 L2S - Laboratoire des signaux et systèmes
3 COMORE - Modeling and control of renewable resources

This paper focuses on the analysis of some classes of observers for linear systems with a point-wise delay. First, it is pointed out that, classical interval observers for systems without delays are not robust with respect to the presence of delays that appear in a specific structure location, no matter how small it is. Next, it is shown that, in general, for linear systems classical interval observers endowed with a point-wise delay are unstable. A new type of design enabling to circumvent this obstacle is proposed. It relies on framers that incorporate distributed delay terms.

Mots clés: Interval observers; exponential stability; delay

Domaines: Automatique

Frederic Mazenc, Silviu-Iulian Niculescu, Olivier Bernard. Interval Observers for Linear Systems with Delay. Joint 48th IEEE Conference on Decision and Control (CDC) / 28th Chinese Control Conference (CCC), Dec 2009, Shanghai, China. ⟨10.1109/CDC.2009.5399818⟩. ⟨hal-02194533⟩