A note on distributed finite-time observers

Haik Silm (1, 2, 3) , Rosane Ushirobira (4) , Denis Efimov (2) , Jean-Pierre Richard (1, 5) , Wim Michiels (3)

1 Centrale Lille
2 NON-A-POST - Non-Asymptotic estimation for online systems
3 DCS - Department of Computer Science [Leuven]
4 GAIA - Géométrie, Algèbre, Informatique, Applications
5 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189

The robust distributed estimation for a class of time-invariant plants is achieved via a finite-time observer, its error reaching zero after a finite time in the absence of perturbation. Two types of robustness are also shown. First, input-to-state stability with respect to measurement noises and additive perturbations is proven. Second, we demonstrate that the estimation error stays bounded in the presence of known transmission delays.

Mots clés: Distributed estimation problem; Finite-time observers; Index Terms-Distributed estimation problem; finite-time ob- servers; weighted homogeneity; time-delay

Domaines: Automatique / Robotique

Haik Silm, Rosane Ushirobira, Denis Efimov, Jean-Pierre Richard, Wim Michiels. A note on distributed finite-time observers. IEEE Transactions on Automatic Control, 2018, ⟨10.1109/TAC.2018.2838042⟩. ⟨hal-01827041v2⟩