Interval estimation for linear discrete-time delay systems

Naima Sehli; Zhenhua Wang; Kaouther Ibn Taarit; Tarek Raïssi; Moufida Ksouri

doi:10.1016/j.ifacol.2020.12.1023

Interval estimation for linear discrete-time delay systems

Naima Sehli^*
, Zhenhua Wang
, Kaouther Ibn Taarit^*
, Tarek Raïssi
, Moufida Ksouri^*

^*Corresponding author for this work

Université de Tunis El Manar
School of Astronautics, Harbin Institute of Technology
Conservatoire national des arts et métiers

Research output: Contribution to journal › Conference article › peer-review

10 Scopus citations

Abstract

This paper deals with the problem of interval estimation for linear discrete-time systems with a constant time delay. First, an interval observer is designed based on cooperativity and Lyapunov-Krasovskii stability analysis. Second, a zonotope-based interval estimation, which is independent of cooperativity constraint, is proposed. It integrates robust observer design, based on multiple feedbacks, with reachability analysis via zonotopes. In order to enhance the accuracy of interval estimation, an H_∞ technique is introduced into observer design to reduce the effects of disturbances and noises. Finally, simulation results are given to illustrate the efficiency of the proposed method.

Original language	English
Pages (from-to)	4798-4803
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.1023
State	Published - 2020
Externally published	Yes
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020

Keywords

H approach
Interval estimation
Time-delay systems
Zonotopes

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10.1016/j.ifacol.2020.12.1023

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title = "Interval estimation for linear discrete-time delay systems",

abstract = "This paper deals with the problem of interval estimation for linear discrete-time systems with a constant time delay. First, an interval observer is designed based on cooperativity and Lyapunov-Krasovskii stability analysis. Second, a zonotope-based interval estimation, which is independent of cooperativity constraint, is proposed. It integrates robust observer design, based on multiple feedbacks, with reachability analysis via zonotopes. In order to enhance the accuracy of interval estimation, an H∞ technique is introduced into observer design to reduce the effects of disturbances and noises. Finally, simulation results are given to illustrate the efficiency of the proposed method.",

keywords = "H approach, Interval estimation, Time-delay systems, Zonotopes",

author = "Naima Sehli and Zhenhua Wang and Taarit, \{Kaouther Ibn\} and Tarek Ra{\"i}ssi and Moufida Ksouri",

year = "2020",

doi = "10.1016/j.ifacol.2020.12.1023",

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T1 - Interval estimation for linear discrete-time delay systems

AU - Sehli, Naima

AU - Wang, Zhenhua

AU - Taarit, Kaouther Ibn

AU - Raïssi, Tarek

AU - Ksouri, Moufida

PY - 2020

Y1 - 2020

N2 - This paper deals with the problem of interval estimation for linear discrete-time systems with a constant time delay. First, an interval observer is designed based on cooperativity and Lyapunov-Krasovskii stability analysis. Second, a zonotope-based interval estimation, which is independent of cooperativity constraint, is proposed. It integrates robust observer design, based on multiple feedbacks, with reachability analysis via zonotopes. In order to enhance the accuracy of interval estimation, an H∞ technique is introduced into observer design to reduce the effects of disturbances and noises. Finally, simulation results are given to illustrate the efficiency of the proposed method.

AB - This paper deals with the problem of interval estimation for linear discrete-time systems with a constant time delay. First, an interval observer is designed based on cooperativity and Lyapunov-Krasovskii stability analysis. Second, a zonotope-based interval estimation, which is independent of cooperativity constraint, is proposed. It integrates robust observer design, based on multiple feedbacks, with reachability analysis via zonotopes. In order to enhance the accuracy of interval estimation, an H∞ technique is introduced into observer design to reduce the effects of disturbances and noises. Finally, simulation results are given to illustrate the efficiency of the proposed method.

KW - H approach

KW - Interval estimation

KW - Time-delay systems

KW - Zonotopes

UR - https://www.scopus.com/pages/publications/85105046323

U2 - 10.1016/j.ifacol.2020.12.1023

DO - 10.1016/j.ifacol.2020.12.1023

M3 - 会议文章

AN - SCOPUS:85105046323

SN - 2405-8971

VL - 53

SP - 4798

EP - 4803

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 2

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Interval estimation for linear discrete-time delay systems

Abstract

Keywords

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