TY - JOUR
T1 - Consistent Subspace Identification of Errors-in-Variables Hammerstein Systems
AU - Hou, Jie
AU - Su, Hao
AU - Yu, Chengpu
AU - Chen, Fengwei
AU - Li, Penghua
AU - Xie, Haofei
AU - Li, Taifu
N1 - Publisher Copyright:
© 2013 IEEE.
PY - 2023/4/1
Y1 - 2023/4/1
N2 - In this article, a consistent subspace identification method (SIM) is proposed for block-oriented errors-in-variables Hammerstein systems. Due to that the existing SIMs using parity subspace based on noisy measurements may result in biased parameter estimates, we propose a scheme for the consistent system parameter estimation, which estimates the noise-free Hankel matrix using available noisy measurements and noise variances. A 2-D search method is proposed to estimate the unknown noise variances from available noisy measurements. After that consistent estimations of the Hammerstein system parameters can be then retrieved from the estimated noise-free Hankel matrix following the same algorithm framework of the existing SIMs using parity subspace. Two simulation examples are included to support the effectiveness and merits of the proposed method.
AB - In this article, a consistent subspace identification method (SIM) is proposed for block-oriented errors-in-variables Hammerstein systems. Due to that the existing SIMs using parity subspace based on noisy measurements may result in biased parameter estimates, we propose a scheme for the consistent system parameter estimation, which estimates the noise-free Hankel matrix using available noisy measurements and noise variances. A 2-D search method is proposed to estimate the unknown noise variances from available noisy measurements. After that consistent estimations of the Hammerstein system parameters can be then retrieved from the estimated noise-free Hankel matrix following the same algorithm framework of the existing SIMs using parity subspace. Two simulation examples are included to support the effectiveness and merits of the proposed method.
KW - Consistent estimation
KW - Hammerstein systems
KW - errors-in-variables (EIVs)
KW - subspace identification
UR - http://www.scopus.com/inward/record.url?scp=85141472633&partnerID=8YFLogxK
U2 - 10.1109/TSMC.2022.3213809
DO - 10.1109/TSMC.2022.3213809
M3 - Article
AN - SCOPUS:85141472633
SN - 2168-2216
VL - 53
SP - 2292
EP - 2303
JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems
JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems
IS - 4
ER -