Linear interval observers under delayed measurements and delay-dependent positivity

Denis Efimov; Emilia Fridman; Andrey Polyakov; Wilfrid Perruquetti; Jean Pierre Richard

doi:10.1016/j.automatica.2016.05.022

Linear interval observers under delayed measurements and delay-dependent positivity

Denis Efimov
, Emilia Fridman
, Andrey Polyakov
, Wilfrid Perruquetti
, Jean Pierre Richard

School of Electrical Engineering

Parc Scientifique de la Haute Borne
École centrale de Lille
St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO)

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

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 by examples.

Original language	English
Pages (from-to)	123-130
Number of pages	8
Journal	Automatica
Volume	72
DOIs	https://doi.org/10.1016/j.automatica.2016.05.022
State	Published - 1 Oct 2016

Funding

Funders	Funder number
Ministry of Education and Science of the Russian Federation
Israel Science Foundation	1128/14
Government Council on Grants, Russian Federation	074-U01

Keywords

Interval observers
Stability analysis
Time delay

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10.1016/j.automatica.2016.05.022

Cite this

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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 by examples.",

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AU - Perruquetti, Wilfrid

AU - Richard, Jean Pierre

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KW - Interval observers

KW - Stability analysis

KW - Time delay

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Linear interval observers under delayed measurements and delay-dependent positivity

Abstract

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Keywords

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