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Article Dans Une Revue Evolution Equations and Control Theory Année : 2015

Finite rank distributed control for the resistive diffusion equation using damping assignment

Résumé

A first extension of the IDA-PBC control synthesis to infinite dimensional port Hamiltonian systems is investigated, using the same idea as for the finite dimensional case, that is transform the original model into a closed loop target Hamiltonian model using feedback control. To achieve this goal both finite rank distributed control and boundary control are used. The proposed class of considered port Hamiltonian distributed parameters systems is first defined. Then the matching equation is derived for this class before considering the particular case of damping assignment on the resistive diffusion example, for the radial diffusion of the poloidal magnetic flux in tokamak reactors.
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Dates et versions

hal-01624851 , version 1 (26-10-2017)

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Ngoc Minh Trang Vu, Laurent Lefèvre, V Thang Pham. Finite rank distributed control for the resistive diffusion equation using damping assignment. Evolution Equations and Control Theory, 2015, 4 (2), pp.205-220. ⟨10.3934/eect.2015.4.205⟩. ⟨hal-01624851⟩

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