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Article Dans Une Revue International Journal of Control Année : 2020

A new approach to design set-membership state estimators for discrete-time linear systems based on the observability matrix

Résumé

The paper introduces a method for synthesising set-valued state estimators for uncertain discrete-time linear systems. Based on the past values of the input and output of the system and on its observability matrix, a non-conservative numerical scheme is proposed to characterise at each time instant a tight enclosure of the actual state vector of the system. Interval analysis and consistency techniques are applied to design this guaranteed state estimator. In addition, the finite-time convergence of the width of the estimated state enclosures is shown. A comparison study, with some existing methods in the literature, throughout numerical examples is presented.
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Dates et versions

hal-02157123 , version 1 (15-06-2019)

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Nacim Meslem, Nacim Ramdani. A new approach to design set-membership state estimators for discrete-time linear systems based on the observability matrix. International Journal of Control, 2020, 93 (11), pp.2541-2550. ⟨10.1080/00207179.2019.1628296⟩. ⟨hal-02157123⟩
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