A new subspace identification method for closed-loop systems
System Identification, Volume # 14 | Part# 1
Authors
Koichi Onodera; Genichi Emoto; S. Joe Qin
Identifier
10.3182/20060329-3-AU-2901.00169
Index Terms
subspace identification,Kalman predictor Markov parameters,eigensystem realization algorithm (ERA),canonical correlation analysis (CCA),observer/Kalman filter identification (OKID)
Abstract
In this paper we present a new subspace identification method applicable to closed-loop data. First, Kalman predictor Markov parameters in a framework of ARX modeling with high order are obtained. These parameters are made available for subspace identification to help the estimation of the Hankel matrix which consists of the estimated predictor Markov parameters. To estimate the observer matrices, eigensystem realization algorithm (ERA) with weightings related to canonical correlation analysis (CCA) is applied to the Hankel matrix. System matrices are easily derived from the estimated observer matrices. We then demonstrate the effectiveness of the proposed algorithm via simulated and industrial closed loop data.
References
[1] Jansson, Magnus (2003). Subspace identification
and arx modeling. 13th IFAC Symposium on
System Identification.
[2] Juang, Jer-Nan (1994). Applied System Identification
. Prentice Hall PTR.
[3] Juang, Jer-Nan and Richard S. Pappa (1985). An
eigensystem realization algorithm for modal
parameter identification and model reduction.
Journal of Guidance, Control, and Dynamics
8(5), 620-627.
[4] Juang, Jer-Nan, Mihn Phan, Lucas G. Horta and
Richard W. Longman (1993). Identification
of observer/kalman filter markov parameters:
Theory and experiments. Journal of Guidance,
Control, and Dynamics 16(2), 320-329.
[5] Lakshminarayanan, S., G. Emoto, K. Onodera,
K. Akamatsu, S. Amano and S. Ebara (2001).
Industrial applications of system identification
and control of process with recycles. 6th
IFAC Symposium of Dynamics and Control
of Process Systems.
[6] Ljung, Lennart (1999). System Identification Theory
for the User, second edition. Prentice Hall
PTR.
[7] Qin, S. Joe and Lennert Ljung (2003). Closed-loop
subspace identification with innovation
estimation. 13th IFAC Symposium on System
Identification.
[8] Van Overschee, Peter and Bart De Moor (1996).
Closed-Loop Subspace System Identification.
ESAT-SISTA/TR 1996-52I. Katholieke Universiteit
Leuven.
[9] Verhaegen, Michel (1993). Application of a subspace
model identification technique to identify
LTI systems operating in closed-loop. Automatica
29(4), 1027-1040.
[10] Zhu, Yucai (2001). Multivariable System Identification
for Process Control. PERGAMON an
imprint of Elsevier Science.
