Finite-dimensional predictor-based feedback stabilization of a 1D linear reaction-diffusion equation with boundary input delayReportar como inadecuado




Finite-dimensional predictor-based feedback stabilization of a 1D linear reaction-diffusion equation with boundary input delay - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 GIPSA-SLR - SLR GIPSA-DA - Département Automatique 2 GIPSA-SYSCO - SYSCO GIPSA-DA - Département Automatique 3 CaGE - Control And GEometry LJLL - Laboratoire Jacques-Louis Lions, Inria de Paris 4 LJLL - Laboratoire Jacques-Louis Lions

Abstract : We consider a one-dimensional controlled reaction-diffusion equation, where the control acts on the boundary and is subject to a constant delay. Such a model is a paradigm for more general parabolic systems coupled with a transport equation. We prove that this is possible to stabilize in H 1 norm this process by means of an explicit predictor-based feedback control that is designed from a finite-dimensional subsystem. The implementation is very simple and efficient and is based on standard tools of pole-shifting. Our feedback acts on the system as a finite-dimensional predictor. We compare our approach with the backstepping method.





Autor: Delphine Bresch-Pietri - Christophe Prieur - Emmanuel Trélat -

Fuente: https://hal.archives-ouvertes.fr/



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