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Conference Papers IFAC-PapersOnLine Year : 2020

Observers of Vlasov-Poisson system

Amadou Cisse
Mohamed Boutayeb
  • Function : Author
  • PersonId : 888961
  • IdRef : 191894117


This work focuses on observer's for one-dimensional (1D) Vlasov-Poisson (VP) system. Thanks to the discontinuous Galerkin method (DGM) to put the system into a suitable and explicit state space representation form. Then we construct a state observer of finite dimension that assures asymptotic convergence under weak conditions. Indeed, we introduce a useful Linear Parameter Varying System formulation to compute the observer gain matrix from a Linear Matrix Inequality. Moreover, since matrices obtained by the DGM are tridiagonal, we show that only a reduced order observer is necessary to estimate the whole state of the system. In the noise context, extension to H 8 state estimation is also established.
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Dates and versions

hal-03208653 , version 1 (26-04-2021)


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Amadou Cisse, Mohamed Boutayeb. Observers of Vlasov-Poisson system. 21st IFAC World Congress, IFAC 2020, Jul 2020, Berlin, Germany. ⟨10.1016/j.ifacol.2020.12.1647⟩. ⟨hal-03208653⟩
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