Interval observers for PDEs: approximation approach

Abstract : The problem of interval state estimation is studied for systems described by parabolic Partial Differential Equations (PDEs). The proposed solution is based on a finite-element approximation of PDE, with posterior design of an interval observer for the obtained ordinary differential equation. The interval inclusion of the state function of PDE is obtained using the estimates on the error of discretization. The results are illustrated by numerical experiments with an academic example.
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Tatiana Kharkovskaya, Denis Efimov, Andrey Polyakov, Jean-Pierre Richard. Interval observers for PDEs: approximation approach. Proc. 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Aug 2016, Monterey, United States. ⟨hal-01371283⟩

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