Homogeneous Observer Design for ...
Document type :
Pré-publication ou Document de travail
Title :
Homogeneous Observer Design for Finite-dimensional projections of Homogeneous PDEs
Author(s) :
Zhuk, Sergiy [Auteur]
IBM Research - Ireland
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
IBM Research - Ireland
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
English keyword(s) :
Nonlinear filtering
uniform observability
Lyapunov exponents
bilinear systems
Riccati equations
fixedtime convergence
nonlinear filtering
uniform observability
Lyapunov exponents
bilinear systems
Riccati equations
fixedtime convergence
nonlinear filtering
HAL domain(s) :
Informatique [cs]/Automatique
English abstract : [en]
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 ...
Show more >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).Show less >
Show more >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).Show less >
Language :
Anglais
Collections :
Source :
Files
- https://hal.inria.fr/hal-03212158/document
- Open access
- Access the document
- https://hal.inria.fr/hal-03212158/document
- Open access
- Access the document
- https://hal.inria.fr/hal-03212158/document
- Open access
- Access the document
- document
- Open access
- Access the document
- paper%20%281%29.pdf
- Open access
- Access the document