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Observateurs robustes d'ordre réduit pour les systèmes linéaires et bilinéaires incertains

Abstract : In this dissertation, we proposed robust, reduced order unbiased functional filters for linear and bilinear systems, as well as an unknown inputs residual generator for singular bilinear systems. The functional filtering purpose is not to estimate the whole state vector of a system, but only a linear combination of this one ; the system can be affected by uncertainties. For the linear systems, we treated the continuous and discrete-time cases, whereas only the continuous case was considered in the bilinear one. Necessary and sufficient conditions for the unbiasedness were established through a rank condition. The functional filters we proposed are of minimal order : their order is equal to the dimension of the linear combination of the state which we wish to estimate. As for the residual generator, it is of full order: its order is the same that the dimension of the state vector of the singular bilinear system.
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http://docnum.univ-lorraine.fr/prive/SCD_T_2002_0013_SOULEY_ALI.pdf
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Submitted on : Thursday, March 29, 2018 - 10:41:38 AM
Last modification on : Saturday, October 16, 2021 - 11:14:14 AM

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Harouna Souley Ali. Observateurs robustes d'ordre réduit pour les systèmes linéaires et bilinéaires incertains. Autre. Université Henri Poincaré - Nancy 1, 2002. Français. ⟨NNT : 2002NAN10013⟩. ⟨tel-01746634⟩

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