Fault diagnosis for non-minimum phase systems using &Hscr;∞ optimization

Hans Henrik Niemann; Jakob Stoustrup

doi:10.1109/ACC.2001.945676

Fault diagnosis for non-minimum phase systems using &Hscr;∞ optimization

Hans Henrik Niemann
, Jakob Stoustrup

Aalborg University

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Abstract

The analysis and design algorithms for residual generators for nonminimum phase systems are given. It is shown that the &Hscr;∞ optimization of residual generators applied directly to systems including nonminimum phase zeros can be very conservative. To remove this conservatism in the &Hscr;∞ 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 language	English
Title of host publication	Proceedings of the American Control Conference
Volume	6
Publication date	2001
Pages	4432-4436
ISBN (Print)	0-7803-6495-3
DOIs	https://doi.org/10.1109/ACC.2001.945676
Publication status	Published - 2001
Event	The American Control Conference - Duration: 1 Jan 2001 → …

Conference

Conference	The American Control Conference
Period	01/01/2001 → …

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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title = "Fault diagnosis for non-minimum phase systems using \&Hscr;∞ optimization",

abstract = "The analysis and design algorithms for residual generators for nonminimum phase systems are given. It is shown that the \&Hscr;∞ optimization of residual generators applied directly to systems including nonminimum phase zeros can be very conservative. To remove this conservatism in the \&Hscr;∞ 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.",

author = "Niemann, \{Hans Henrik\} and Jakob Stoustrup",

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; The American Control Conference ; Conference date: 01-01-2001",

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AU - Niemann, Hans Henrik

AU - Stoustrup, Jakob

N1 - 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

PY - 2001

Y1 - 2001

N2 - The analysis and design algorithms for residual generators for nonminimum phase systems are given. It is shown that the &Hscr;∞ optimization of residual generators applied directly to systems including nonminimum phase zeros can be very conservative. To remove this conservatism in the &Hscr;∞ 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.

AB - The analysis and design algorithms for residual generators for nonminimum phase systems are given. It is shown that the &Hscr;∞ optimization of residual generators applied directly to systems including nonminimum phase zeros can be very conservative. To remove this conservatism in the &Hscr;∞ 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.

U2 - 10.1109/ACC.2001.945676

DO - 10.1109/ACC.2001.945676

M3 - Article in proceedings

SN - 0-7803-6495-3

VL - 6

SP - 4432

EP - 4436

BT - Proceedings of the American Control Conference

T2 - The American Control Conference

Y2 - 1 January 2001

ER -

Fault diagnosis for non-minimum phase systems using &Hscr;∞ optimization

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