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Homogeneous Observer Design for Finite-dimensional projections of Homogeneous PDEs

Sergiy Zhuk 1 Andrey Polyakov 2
2 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : Sufficient conditions for existence and uniqueness of solutions for a coupled system of homogeneous equations defining dynamics of the gain and observer for ODEs obtained as a Galerkin projection of homogeneous PDEs are proposed. The conditions rely upon fundamental concept of uniform complete observability which is also used to design an exponentially convergent observer. Convergence of the observer is confirmed by numerical experiments with ODEs obtained from a hyperbolic PDE in 1D (Burgers-Hopf equation).
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https://hal.inria.fr/hal-03212158
Contributor : Andrey Polyakov <>
Submitted on : Thursday, April 29, 2021 - 3:15:32 PM
Last modification on : Friday, April 30, 2021 - 3:32:19 AM

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Sergiy Zhuk, Andrey Polyakov. Homogeneous Observer Design for Finite-dimensional projections of Homogeneous PDEs. 2021. ⟨hal-03212158⟩

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