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Communication Dans Un Congrès Année : 2013

Adaptive Distributed Parameter and Input Estimation in Plasma Tokamak Heat Transport

Résumé

In this paper, the adaptive estimation of spatially varying diffusion and source term coefficients for a linear parabolic partial differential equation describing tokamak plasma heat transport is considered. 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 constant, spatially distributed and spatio-temporally distributed parameters as well as input with known upper bounds in time. 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 Galerkin finite-dimensional technique 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-00931642 , version 1 (15-01-2014)

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  • HAL Id : hal-00931642 , version 1

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Sarah Mechhoud, Emmanuel Witrant, Luc Dugard, Didier Moreau. Adaptive Distributed Parameter and Input Estimation in Plasma Tokamak Heat Transport. CPDE 2013 - 1st IFAC Workshop on Control of Systems Modeled by Partial Differential Equations, Sep 2013, Paris, France. ⟨hal-00931642⟩
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