HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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).
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.inria.fr/hal-03212158
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Thursday, April 29, 2021 - 3:15:32 PM
Last modification on : Thursday, March 24, 2022 - 3:42:40 AM
Long-term archiving on: : Friday, July 30, 2021 - 6:37:46 PM

File

paper (1).pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03212158, version 1

Citation

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

Share

Metrics

Record views

32

Files downloads

50