TY - GEN
T1 - Fault diagnosis for non-minimum phase systems using ℋ∞ optimization
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 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.
AB - 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.
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 -