Direct Shaping of Minimum and Maximum Singular Values: An H
            -/H
            ∞ Synthesis Approach for Fault Detection Filters

K.H.J. Classens; W.P.M.H. Heemels; Tom A.E. Oomen

doi:10.1016/j.ifacol.2023.10.412

Direct Shaping of Minimum and Maximum Singular Values: An H _-/H _∞ Synthesis Approach for Fault Detection Filters

K.H.J. Classens (Corresponding author)
, W.P.M.H. Heemels
, Tom A.E. Oomen

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

194 Downloads (Pure)

Abstract

The performance of fault detection filters relies on a high sensitivity to faults and a low sensitivity to disturbances. The aim of this paper is to develop an approach to directly shape these sensitivities, expressed in terms of minimum and maximum singular values. The developed method offers an alternative solution to the H _-/H _∞ synthesis problem, building upon traditional multiobjective synthesis results. The result is an optimal filter synthesized via iterative convex optimization and the approach is particularly useful for fault diagnosis as illustrated by a numerical example.

Original language	English
Pages (from-to)	11311-11316
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	56
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2023.10.412
Publication status	Published - 1 Jul 2023
Event	22nd World Congress of the International Federation of Automatic Control (IFAC 2023 World Congress) - Yokohama, Japan Duration: 9 Jul 2023 → 14 Jul 2023 Conference number: 22 https://www.ifac2023.org/

Funding

This work is supported by Topconsortia voor Kennis en Innovatie (TKI), and is supported by ASML Research, Veldhoven, The Netherlands.

Funders
ASML United States
Topconsortium voor Kennis en Innovatie

Keywords

Convex Optimization
Fault Detection
Fault Diagnosis
Linear Matrix Inequalities

Access to Document

10.1016/j.ifacol.2023.10.412

ClassensHeeOom2023bFinal author version , 1.81 MB
pdfFinal published version, 988 KBLicence: CC BY-NC-ND

Cite this

@article{52b9addf39ec4ff9b71c1209934e0f39,

title = "Direct Shaping of Minimum and Maximum Singular Values: An H -/H ∞ Synthesis Approach for Fault Detection Filters",

abstract = "The performance of fault detection filters relies on a high sensitivity to faults and a low sensitivity to disturbances. The aim of this paper is to develop an approach to directly shape these sensitivities, expressed in terms of minimum and maximum singular values. The developed method offers an alternative solution to the H -/H ∞ synthesis problem, building upon traditional multiobjective synthesis results. The result is an optimal filter synthesized via iterative convex optimization and the approach is particularly useful for fault diagnosis as illustrated by a numerical example.",

keywords = "Convex Optimization, Fault Detection, Fault Diagnosis, Linear Matrix Inequalities",

author = "K.H.J. Classens and W.P.M.H. Heemels and Oomen, \{Tom A.E.\}",

year = "2023",

month = jul,

day = "1",

doi = "10.1016/j.ifacol.2023.10.412",

language = "English",

volume = "56",

pages = "11311--11316",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "Elsevier",

number = "2",

note = "22nd World Congress of the International Federation of Automatic Control (IFAC 2023 World Congress) ; Conference date: 09-07-2023 Through 14-07-2023",

url = "https://www.ifac2023.org/",

}

TY - JOUR

T1 - Direct Shaping of Minimum and Maximum Singular Values

T2 - 22nd World Congress of the International Federation of Automatic Control (IFAC 2023 World Congress)

AU - Classens, K.H.J.

AU - Heemels, W.P.M.H.

AU - Oomen, Tom A.E.

N1 - Conference code: 22

PY - 2023/7/1

Y1 - 2023/7/1

N2 - The performance of fault detection filters relies on a high sensitivity to faults and a low sensitivity to disturbances. The aim of this paper is to develop an approach to directly shape these sensitivities, expressed in terms of minimum and maximum singular values. The developed method offers an alternative solution to the H -/H ∞ synthesis problem, building upon traditional multiobjective synthesis results. The result is an optimal filter synthesized via iterative convex optimization and the approach is particularly useful for fault diagnosis as illustrated by a numerical example.

AB - The performance of fault detection filters relies on a high sensitivity to faults and a low sensitivity to disturbances. The aim of this paper is to develop an approach to directly shape these sensitivities, expressed in terms of minimum and maximum singular values. The developed method offers an alternative solution to the H -/H ∞ synthesis problem, building upon traditional multiobjective synthesis results. The result is an optimal filter synthesized via iterative convex optimization and the approach is particularly useful for fault diagnosis as illustrated by a numerical example.

KW - Convex Optimization

KW - Fault Detection

KW - Fault Diagnosis

KW - Linear Matrix Inequalities

UR - https://www.scopus.com/pages/publications/85184960671

U2 - 10.1016/j.ifacol.2023.10.412

DO - 10.1016/j.ifacol.2023.10.412

M3 - Conference article

SN - 2405-8963

VL - 56

SP - 11311

EP - 11316

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 2

Y2 - 9 July 2023 through 14 July 2023

ER -