Design of a distributed finite-time observer using observability decompositions

Haik Silm 1, 2 Rosane Ushirobira 3 Denis Efimov 3 Wim Michiels 2 Jean-Pierre Richard 3
3 VALSE - Finite-time control and estimation for distrubed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this paper, a distributed observer is presented to estimate the state of a linear time-invariant plant in finite-time in each observer node. The design is based on a decomposition into locally observable and unobservable substates and on properties of homogeneous systems. Each observer node can reconstruct in finite-time its locally observable substate with its measurements only. Then exploiting the coupling, a finite-time converging observer is constructed for the remaining states by adding the consensus terms. A numerical example illustrates the result.
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Haik Silm, Rosane Ushirobira, Denis Efimov, Wim Michiels, Jean-Pierre Richard. Design of a distributed finite-time observer using observability decompositions. ECC 2019 - 18th European Control Conference, Jun 2019, Naples, Italy. pp.1816-1821. ⟨hal-02279201v2⟩

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