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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 Ecole Centrale de Lille
2 NON-A-POST - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe
3 DCS - Department of Computer Science [Leuven]
4 GAIA - Géométrie, Algèbre, Informatique, Applications
Inria Lille - Nord Europe
5 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : 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.
Keywords : Distributed estimation problem Finite-time observers Index Terms-Distributed estimation problem finite-time ob- servers weighted homogeneity time-delay
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Haik Silm, Rosane Ushirobira, Denis Efimov, Jean-Pierre Richard, Wim Michiels. A note on distributed finite-time observers. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2018, ⟨10.1109/TAC.2018.2838042⟩. ⟨hal-01827041v2⟩

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