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

Tel Aviv University

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

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

Keywords

Interval observers
Stability analysis
Time delay

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/j.automatica.2016.05.022

Cite this

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title = "Linear interval observers under delayed measurements and delay-dependent positivity",

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.",

keywords = "Interval observers, Stability analysis, Time delay",

author = "Denis Efimov and Emilia Fridman and Andrey Polyakov and Wilfrid Perruquetti and Richard, {Jean Pierre}",

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AU - Efimov, Denis

AU - Fridman, Emilia

AU - Polyakov, Andrey

AU - Perruquetti, Wilfrid

AU - Richard, Jean Pierre

PY - 2016/10/1

Y1 - 2016/10/1

N2 - 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.

AB - 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.

KW - Interval observers

KW - Stability analysis

KW - Time delay

UR - http://www.scopus.com/inward/record.url?scp=84978379678&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2016.05.022

DO - 10.1016/j.automatica.2016.05.022

M3 - مقالة

SN - 0005-1098

VL - 72

SP - 123

EP - 130

JO - Automatica

JF - Automatica

ER -

Linear interval observers under delayed measurements and delay-dependent positivity

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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