Adaptive Space-Time Distributed Parameter and Input Estimation in Heat Transport with Unknown BoundsReportar como inadecuado




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1 GIPSA-SLR - SLR GIPSA-DA - Département Automatique

Abstract : In this paper, we discuss on-line adaptive estimation of distributed diffusion and source term coefficients for a non-homogeneous linear parabolic partial differential equation describing heat transport. An estimator is defined in the infinite-dimensional framework having the system state and the parameters- estimate as its states. Our scheme allows to estimate spatially distributed and space-time distributed parameters. While the parameters convergence depends on the plant signal richness assumption, the state convergence is established using the Lyapunov approach. Since the estimator is infinite- dimensional, the b-splines Galerkin finite element method is used to implement it. In silico simulations are provided to illustrate the performance of the proposed approach.





Autor: Sarah Mechhoud - Emmanuel Witrant - Luc Dugard -

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



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