Design of a distributed finite-time observer using observability decompositions

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

1 Centrale Lille
2 KU Leuven - CS - Department of Computer Science
3 VALSE - Finite-time control and estimation for distributed systems

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.

Domaines: Automatique; Systèmes et contrôle [cs.SY]

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⟩