Interval Estimation for Discrete-Time Switched Linear Systems Based on L∞Observer and Ellipsoid Analysis

Monia Dkhil; Thach Ngoc DInh; Zhenhua Wang; Tarek Raissi; Messaoud Amairi

doi:10.1109/LCSYS.2020.2999043

Interval Estimation for Discrete-Time Switched Linear Systems Based on L_∞Observer and Ellipsoid Analysis

Monia Dkhil
, Thach Ngoc DInh^*
, Zhenhua Wang
, Tarek Raissi
, Messaoud Amairi

^*Corresponding author for this work

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

15 Scopus citations

Abstract

This letter proposes a two-step interval estimation method for discrete-time switched linear systems with unknown but bounded uncertainties. Based on the ellipsoidal analysis, the proposed estimator provides upper and lower bounds of the system state with high computational analysis. The size of the obtained ellipsoids is minimized using the trace criterion. The idea of introducing an L{infty } performance is also employed in order to improve the estimation accuracy. Its design conditions are given in terms of Linear Matrix Inequalities (LMIs). Finally, a numerical example emphasizes the effectiveness of the contribution.

Original language	English
Article number	9104704
Pages (from-to)	13-18
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	5
Issue number	1
DOIs	https://doi.org/10.1109/LCSYS.2020.2999043
State	Published - Jan 2021
Externally published	Yes

Keywords

Interval estimation
Lperformance
ellipsoid
switched linear systems

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10.1109/LCSYS.2020.2999043

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title = "Interval Estimation for Discrete-Time Switched Linear Systems Based on L∞Observer and Ellipsoid Analysis",

abstract = "This letter proposes a two-step interval estimation method for discrete-time switched linear systems with unknown but bounded uncertainties. Based on the ellipsoidal analysis, the proposed estimator provides upper and lower bounds of the system state with high computational analysis. The size of the obtained ellipsoids is minimized using the trace criterion. The idea of introducing an L\{infty \} performance is also employed in order to improve the estimation accuracy. Its design conditions are given in terms of Linear Matrix Inequalities (LMIs). Finally, a numerical example emphasizes the effectiveness of the contribution.",

keywords = "Interval estimation, Lperformance, ellipsoid, switched linear systems",

author = "Monia Dkhil and DInh, \{Thach Ngoc\} and Zhenhua Wang and Tarek Raissi and Messaoud Amairi",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.",

year = "2021",

month = jan,

doi = "10.1109/LCSYS.2020.2999043",

language = "英语",

volume = "5",

pages = "13--18",

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T1 - Interval Estimation for Discrete-Time Switched Linear Systems Based on L∞Observer and Ellipsoid Analysis

AU - Dkhil, Monia

AU - DInh, Thach Ngoc

AU - Wang, Zhenhua

AU - Raissi, Tarek

AU - Amairi, Messaoud

PY - 2021/1

Y1 - 2021/1

N2 - This letter proposes a two-step interval estimation method for discrete-time switched linear systems with unknown but bounded uncertainties. Based on the ellipsoidal analysis, the proposed estimator provides upper and lower bounds of the system state with high computational analysis. The size of the obtained ellipsoids is minimized using the trace criterion. The idea of introducing an L{infty } performance is also employed in order to improve the estimation accuracy. Its design conditions are given in terms of Linear Matrix Inequalities (LMIs). Finally, a numerical example emphasizes the effectiveness of the contribution.

AB - This letter proposes a two-step interval estimation method for discrete-time switched linear systems with unknown but bounded uncertainties. Based on the ellipsoidal analysis, the proposed estimator provides upper and lower bounds of the system state with high computational analysis. The size of the obtained ellipsoids is minimized using the trace criterion. The idea of introducing an L{infty } performance is also employed in order to improve the estimation accuracy. Its design conditions are given in terms of Linear Matrix Inequalities (LMIs). Finally, a numerical example emphasizes the effectiveness of the contribution.

KW - Interval estimation

KW - Lperformance

KW - ellipsoid

KW - switched linear systems

UR - https://www.scopus.com/pages/publications/85091057736

U2 - 10.1109/LCSYS.2020.2999043

DO - 10.1109/LCSYS.2020.2999043

M3 - 文章

AN - SCOPUS:85091057736

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VL - 5

SP - 13

EP - 18

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

IS - 1

M1 - 9104704

ER -

Interval Estimation for Discrete-Time Switched Linear Systems Based on L_∞Observer and Ellipsoid Analysis

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Keywords

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