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

Koen Classens; W. P.M.H. Heemels; Tom 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

Koen Classens^*, W. P.M.H. Heemels^*, Tom Oomen^*

^*Corresponding author for this work

Team Jan-Willem van Wingerden

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

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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 - 2023
Event	22nd IFAC World Congress - Yokohama, Japan Duration: 9 Jul 2023 → 14 Jul 2023

Keywords

Convex Optimization
Fault Detection
Fault Diagnosis
Linear Matrix Inequalities

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10.1016/j.ifacol.2023.10.412

1-s2.0-S2405896323007796-mainFinal published version, 988 KBLicence: CC BY-NC-ND

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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.",

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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.

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KW - Fault Detection

KW - Fault Diagnosis

KW - Linear Matrix Inequalities

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

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