HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Design of interval observers and controls for PDEs using finite-element approximations

Abstract : Synthesis of interval state estimators is investigated for the systems described by a class of parabolic Partial Differential Equations (PDEs). First, a finite-element approximation of a PDE is constructed and the design of an interval observer for the derived ordinary differential equation is given. Second, the interval inclusion of the state function of the PDE is calculated using the error estimates of the finite-element approximation. Finally, the obtained interval estimates are used to design a dynamic output stabilizing control. The results are illustrated by numerical experiments with an academic example and the Black-Scholes model of financial market.
Complete list of metadata

Cited literature [40 references]  Display  Hide  Download

Contributor : Denis Efimov Connect in order to contact the contributor
Submitted on : Thursday, April 5, 2018 - 6:35:02 PM
Last modification on : Friday, February 4, 2022 - 3:16:16 AM


Files produced by the author(s)




Tatiana Kharkovskaia, Denis Efimov, Andrey Polyakov, Jean-Pierre Richard. Design of interval observers and controls for PDEs using finite-element approximations. Automatica, Elsevier, 2018, 93, pp.302 - 310. ⟨10.1016/j.automatica.2018.03.016⟩. ⟨hal-01759948⟩



Record views


Files downloads