Interval estimation for systems with time delays and algebraic constraints

Denis Efimov 1, 2 Andrey Polyakov 1 Jean-Pierre Richard 3, 1, 2
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The problem of interval observer design is addressed for a class of descriptor linear systems with delays. Two sets of conditions are proposed. First, an interval observation for any input in the system is provided. Second, the control input is designed together with the observer gains in order to guarantee interval estimation and stabilization simultaneously. Efficiency of the proposed approach is illustrated by numerical experiments
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Denis Efimov, Andrey Polyakov, Jean-Pierre Richard. Interval estimation for systems with time delays and algebraic constraints. Proc. European Control Conference (ECC) 2014, Jun 2014, Strasbourg, France. ⟨hal-00986034⟩

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