Recursive closed-loop subspace identification based on innovation estimation

被引:0
作者
Yu, Miao [1 ]
Wang, You-Yi [1 ]
Guo, Ge [1 ,2 ]
Liu, Jian-Chang [2 ,3 ]
机构
[1] School of Control Engineering, Northeastern University at Qinhuangdao, Hebei, Qinhuangdao
[2] State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Liaoning, Shenyang
[3] College of Information Science and Engineering, Northeastern University, Liaoning, Shenyang
来源
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2025年 / 42卷 / 02期
基金
中国国家自然科学基金;
关键词
innovation estimation; least squares approximations; recursive closed-loop identification; subspace identification;
D O I
10.7641/CTA.2024.30826
中图分类号
学科分类号
摘要
A recursive closed-loop subspace identification method based on innovation estimation is proposed for closed-loop control systems. Firstly, the influence of past noise on future input in the closed-loop control system is eliminated by innovation estimation, and the estimation of subspace matrix parameters is obtained. Secondly, the recursive method of least squares is used to eliminate the influence of noise, which realizes the parameter estimation of the lower triangle Toeplitz matrix. Finally, based on the Kung’s realization algorithm, the system matrices are extracted from Hankel matrix constructed by the estimated parameters. The simulation results show the effectiveness and superiority of the proposed method. © 2025 South China University of Technology. All rights reserved.
引用
收藏
页码:245 / 252
页数:7
相关论文
共 24 条
[1]  
LIU T, HOU J, QIN S J, Et al., Subspace model identification under load disturbance with unknown transient and periodic dynamics, Journal of Process Control, 85, pp. 100-111, (2020)
[2]  
HUANG C., A combined invariant-subspace and subspace identification method for continuous-time state-space models using slowly sampled multi-sine-wave data, Automatica, 140, (2022)
[3]  
INOUE M., Subspace identification with moment matching, Automatica, 99, pp. 22-32, (2019)
[4]  
LI C Y., Closed-loop identification for a class of nonlinearly parameterized discrete-time systems, Automatica, 131, (2021)
[5]  
PANNOCCHIA G, CALOSI M., A predictor form PARSIMonious algorithm for closed-loop subspace identification, Journal of Process Control, 20, 4, pp. 517-524, (2010)
[6]  
WANG K, CHEN J, SONG Z., Performance analysis of dynamic PCA for closed-loop process monitoring and its improvement by output oversampling scheme, IEEE Transactions on Control Systems Technology, 27, 1, pp. 378-385, (2019)
[7]  
CHIUSO A, PICCI G., Consistency analysis of some closed-loop subspace identification methods, Automatica, 41, 3, pp. 377-391, (2005)
[8]  
DOHLER M, MEVEL L., Modular subspace-based system identification from multi-setup measurements, IEEE Transactions on Automatic Control, 57, 11, pp. 2951-2956, (2012)
[9]  
HUANG B, DING S X, QIN S J., Closed-loop subspace identification: an orthogonal projection approach, Journal of Process Control, 15, 1, pp. 53-66, (2004)
[10]  
QIN S J, LJUNG L., Closed-loop subspace identification with innovation estimation, IFAC Proceedings Volumes, 36, 16, pp. 861-866, (2003)