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Robust Interval Observer for Systems Described by the Fornasini-Marchesini Second Model

Abstract : This letter proposes a novel robust interval observer for a two-dimensional (treated as a synonym for a double-indexed system) linear time-invariant discrete-time system described by the Fornasini-Marchesini second model. This system is subject to unknown but bounded state disturbances and measurement noise. Built on recent interval estimation strategies designed for one-dimensional systems, the proposed observer is based on the introduction of weighting matrices which provide additional degrees of freedom in comparison with the classical structure relying on a change of coordinates. Linear matrix inequality conditions for the exponential stability and peak-to-peak performance of a two-dimensional system described by the Fornasini-Marchesini second model are then proposed, and applied to the design of a robust interval observer. Numerical simulation results are provided to show the efficiency of the proposed estimation strategy.
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https://hal.archives-ouvertes.fr/hal-03498843
Contributor : Thomas Chevet Connect in order to contact the contributor
Submitted on : Thursday, December 23, 2021 - 11:22:04 AM
Last modification on : Wednesday, September 28, 2022 - 5:55:30 AM

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Thomas Chevet, Andreas Rauh, Thach Ngoc Dinh, Julien Marzat, Tarek Raissi. Robust Interval Observer for Systems Described by the Fornasini-Marchesini Second Model. IEEE Control Systems Letters, 2021, 6, pp.1940-1945. ⟨10.1109/LCSYS.2021.3136762⟩. ⟨hal-03498843⟩

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