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Further results on the design of a class of discrete‐time set‐valued state estimators

Abstract : In this work, two improvements are proposed for a class of interval-based state estimators applied to discrete-time uncertain linear systems subject to additive bounded process and measurement uncertainties. First, we propose to compute the observer gain as a solution of an off-line constrained nonlinear optimization problem, where the cost function depends on the estimation error width and the constraints ensure the invariance of the estimation error set. Second, to obtain tighter state enclosures, we propose to apply zonotope set computation instead of interval analysis to design a new set-valued state estimation algorithm. Through simulations, we highlight the interest of the proposed technical improvements.
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https://hal.archives-ouvertes.fr/hal-03474171
Contributor : Nacim Meslem Connect in order to contact the contributor
Submitted on : Friday, December 10, 2021 - 10:04:11 AM
Last modification on : Wednesday, September 28, 2022 - 5:50:48 AM

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Nacim Meslem, Tarek Raïssi, Gildas Besancon. Further results on the design of a class of discrete‐time set‐valued state estimators. International Journal of Robust and Nonlinear Control, 2022, 32 (2), pp.649-668. ⟨10.1002/rnc.5841⟩. ⟨hal-03474171⟩

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