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
2 Department of Electrical Engineering

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.

Mots clés: Interval observers; Time delay; Stability analysis

Domaines: Automatique / Robotique

Denis Efimov, Emilia Fridman, Andrey Polyakov, Wilfrid Perruquetti, Jean-Pierre Richard. Linear interval observers under delayed measurements and delay-dependent positivity. Automatica, 2016, 72, pp.123-130. ⟨10.1016/j.automatica.2016.05.022⟩. ⟨hal-01312981⟩