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On design of interval observers for parabolic PDEs

Tatiana Kharkovskaia 1, 2 Denis Efimov 1 Emilia Fridman 3 Andrey Polyakov 1 Jean-Pierre Richard 2, 1 
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The problem of state estimation for heat non-homogeneous equations under distributed in space measurements is considered. An interval observer is designed, described by Partial Differential Equations (PDEs), for uncertain distributed parameter systems without application of finite-element approximations. Conditions of boundedness of solutions of interval observer with non-zero boundary conditions and measurement noise are proposed. The results are illustrated by numerical experiments with an academic example.
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Submitted on : Friday, April 14, 2017 - 4:35:42 PM
Last modification on : Tuesday, December 6, 2022 - 12:42:13 PM
Long-term archiving on: : Saturday, July 15, 2017 - 4:06:00 PM


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  • HAL Id : hal-01508773, version 1


Tatiana Kharkovskaia, Denis Efimov, Emilia Fridman, Andrey Polyakov, Jean-Pierre Richard. On design of interval observers for parabolic PDEs. Proc. 20th IFAC WC 2017, Jul 2017, Toulouse, France. ⟨hal-01508773⟩



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