Linear interval observers under delayed measurements and delay-dependent positivity

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.

Keywords

Interval observers Time delay Stability analysis

Domains

Automatic

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Interval_delay_osc_J.pdf (572.09 Ko)

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Denis Efimov : Connect in order to contact the contributor

https://inria.hal.science/hal-01312981

Submitted on : Monday, May 9, 2016-1:48:17 PM

Last modification on : Friday, May 31, 2024-6:32:03 PM

Long-term archiving on : Wednesday, May 25, 2016-8:10:53 AM

Dates and versions

hal-01312981 , version 1 (09-05-2016)

Identifiers

HAL Id : hal-01312981 , version 1
DOI : 10.1016/j.automatica.2016.05.022

Cite

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⟩

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