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Partial and Full Order Interval Unknown Input State Estimators

Nacim Meslem 1 Ahmad Hably 2 Tarek Raissi 3 
1 GIPSA-MODUS - GIPSA - Modelling and Optimal Decision for Uncertain Systems
GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic
3 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques
CEDRIC - Centre d'études et de recherche en informatique et communications
Abstract : In this contribution, interval extensions for both full-order and reduced-order unknown input observers are proposed for uncertain discrete time linear systems. The introduced interval estimators do not rely on the positive systems property of the estimation errors. They are mainly based on numerical schemes conceived to characterize in a rigorous way the reached set of some classes of uncertain dynamical systems. Thus, only the classical existence conditions of unknown input observers are needed to design their interval extensions. Interval analysis is used as a convenient tool to implement the proposed state estimation algorithms. However, other bounded geometrical sets could be also applied. Numerical examples are studied to highlight the effectiveness of the introduced interval estimators in the presence of both system’s uncertainties and unknown inputs.
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Submitted on : Saturday, December 12, 2020 - 2:30:52 PM
Last modification on : Wednesday, September 28, 2022 - 5:50:53 AM



Nacim Meslem, Ahmad Hably, Tarek Raissi. Partial and Full Order Interval Unknown Input State Estimators. CoDIT 2020 - 7th International Conference on Control, Decision and Information Technologies, Jun 2020, Prague, Czech Republic. pp.568-574, ⟨10.1109/CoDIT49905.2020.9263952⟩. ⟨hal-03059268⟩



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