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Communication Dans Un Congrès Année : 2013

Adaptive Space-Time Distributed Parameter and Input Estimation in Heat Transport with Unknown Bounds

Sarah Mechhoud
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Emmanuel Witrant
Luc Dugard

Résumé

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.
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Dates et versions

hal-00931637 , version 1 (15-01-2014)

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  • HAL Id : hal-00931637 , version 1

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Sarah Mechhoud, Emmanuel Witrant, Luc Dugard. Adaptive Space-Time Distributed Parameter and Input Estimation in Heat Transport with Unknown Bounds. ICSC 2013 - 3rd International Conference on Systems and Control, Oct 2013, Alger, Algeria. ⟨hal-00931637⟩
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