Ellipsoid bundle and its application to set-membership estimation

Wentao Tang; Qinghua Zhang; Zhenhua Wang; Yi Shen

doi:10.1016/j.ifacol.2020.12.871

Ellipsoid bundle and its application to set-membership estimation

Wentao Tang^*
, Qinghua Zhang
, Zhenhua Wang^*
, Yi Shen^*

^*Corresponding author for this work

School of Astronautics, Harbin Institute of Technology
Institut national de recherche en informatique et en automatique

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

15 Scopus citations

Abstract

This paper studies set-membership estimation for discrete linear time-varying systems subject to unknown disturbance and noise, which are bounded by ellipsoids. To improve the existing ellipsoid-based set-membership estimation methods, we propose a new set representation tool, called ellipsoid bundle, which combines the advantages of ellipsoids and zonotopes for uncertainty set representation and computation. Then, ellipsoidal bundles are used to design a new set-membership estimation method.

Original language	English
Pages (from-to)	13688-13693
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.871
State	Published - 2020
Externally published	Yes
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020

Keywords

Ellipsoid
Ellipsoid bundle
Set-membership estimation
Zonotope

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10.1016/j.ifacol.2020.12.871

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title = "Ellipsoid bundle and its application to set-membership estimation",

abstract = "This paper studies set-membership estimation for discrete linear time-varying systems subject to unknown disturbance and noise, which are bounded by ellipsoids. To improve the existing ellipsoid-based set-membership estimation methods, we propose a new set representation tool, called ellipsoid bundle, which combines the advantages of ellipsoids and zonotopes for uncertainty set representation and computation. Then, ellipsoidal bundles are used to design a new set-membership estimation method.",

keywords = "Ellipsoid, Ellipsoid bundle, Set-membership estimation, Zonotope",

author = "Wentao Tang and Qinghua Zhang and Zhenhua Wang and Yi Shen",

note = "Publisher Copyright: Copyright {\textcopyright} 2020 The Authors. This is an open access article under the CC BY-NC-ND license; 21st IFAC World Congress 2020 ; Conference date: 12-07-2020 Through 17-07-2020",

year = "2020",

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T1 - Ellipsoid bundle and its application to set-membership estimation

AU - Tang, Wentao

AU - Zhang, Qinghua

AU - Wang, Zhenhua

AU - Shen, Yi

PY - 2020

Y1 - 2020

N2 - This paper studies set-membership estimation for discrete linear time-varying systems subject to unknown disturbance and noise, which are bounded by ellipsoids. To improve the existing ellipsoid-based set-membership estimation methods, we propose a new set representation tool, called ellipsoid bundle, which combines the advantages of ellipsoids and zonotopes for uncertainty set representation and computation. Then, ellipsoidal bundles are used to design a new set-membership estimation method.

AB - This paper studies set-membership estimation for discrete linear time-varying systems subject to unknown disturbance and noise, which are bounded by ellipsoids. To improve the existing ellipsoid-based set-membership estimation methods, we propose a new set representation tool, called ellipsoid bundle, which combines the advantages of ellipsoids and zonotopes for uncertainty set representation and computation. Then, ellipsoidal bundles are used to design a new set-membership estimation method.

KW - Ellipsoid

KW - Ellipsoid bundle

KW - Set-membership estimation

KW - Zonotope

UR - https://www.scopus.com/pages/publications/85105064228

U2 - 10.1016/j.ifacol.2020.12.871

DO - 10.1016/j.ifacol.2020.12.871

M3 - 会议文章

AN - SCOPUS:85105064228

SN - 2405-8971

VL - 53

SP - 13688

EP - 13693

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 2

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Ellipsoid bundle and its application to set-membership estimation

Abstract

Keywords

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