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Linear interval observers under delayed measurements and delay-dependent positivity

Denis Efimov 1 Emilia Fridman 2 Andrey Polyakov 1 Wilfrid Perruquetti 1 Jean-Pierre Richard 1
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : New interval observers are designed for linear systems with time-varying delays in the case of delayed measurements. Interval observers employ positivity and stability analysis of the estimation error system, which in the case of delayed measurements should be delay-dependent. New delay-dependent conditions of positivity for linear systems with time-varying delays are introduced. Efficiency of the obtained solution is demonstrated on examples.
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Submitted on : Monday, May 9, 2016 - 1:48:17 PM
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Denis Efimov, Emilia Fridman, Andrey Polyakov, Wilfrid Perruquetti, Jean-Pierre Richard. Linear interval observers under delayed measurements and delay-dependent positivity. Automatica, Elsevier, 2016, 72, pp.123-130. ⟨10.1016/j.automatica.2016.05.022⟩. ⟨hal-01312981⟩

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