Fault diagnosis for non-minimum phase systems using ℋ∞ optimization

Hans Henrik Niemann, Jakob Stoustrup

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Abstract

The analysis and design algorithms for residual generators for nonminimum phase systems are given. It is shown that the ℋ∞ optimization of residual generators applied directly to systems including nonminimum phase zeros can be very conservative. To remove this conservatism in the ℋ∞ optimization of the residual generators, a factorization of the nonminimum phase system into a minimum phase part and an all-pass factor including the nonminimum phase zeros can be applied. The optimization of the residual generator can then be done with respect to the minimum phase part of the system only. It is shown that the effect from the all-pass factor will not affect the 2-norm of the residual vector.
Original languageEnglish
Title of host publicationProceedings of the American Control Conference
Volume6
Publication date2001
Pages4432-4436
ISBN (Print)0-7803-6495-3
DOIs
Publication statusPublished - 2001
EventThe American Control Conference -
Duration: 1 Jan 2001 → …

Conference

ConferenceThe American Control Conference
Period01/01/2001 → …

Bibliographical note

Copyright: 2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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