Bias compensation recursive least squares identification for output error systems with colored noises

Zidonghua Xuebao/Acta Automatica Sinica

Volumn 33, Issue 10, 2007, Pages 1053-1060

  Zhang, Yong ^a   Yang, Hui Zhong ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

Bias compensation principle; Least squares; Output error systems; Parameter estimation; Recursive identification

Indexed keywords

PARAMETER ESTIMATION; SIGNAL TO NOISE RATIO;

BIAS COMPENSATION PRINCIPLE; COLORED NOISES; LEAST SQUARES; OUTPUT ERROR SYSTEMS; RECURSIVE IDENTIFICATION;

IDENTIFICATION (CONTROL SYSTEMS);

EID: 35948950221     PISSN: 02544156     EISSN: None     Source Type: Journal    
DOI: 10.1360/aas-007-1053     Document Type: Article

References (12)

1. Ljung L. System Identification: Theory for the User. Engle-wood Cliffs: Prentice-Hall, 1999.
2. Xie Xin-Min, Ding Feng. Adaptive Control Systems. Beijing: Tsinghua University Press, 2002.
3. Zhang Yong, Yang Hui-Zhong, Ding Feng. An identification method of systems with colored noises. Journal of Nanjing University of Aeronautics and Astronautics, 2006, 38(8): 167-171.
4. Zheng W X. On a least squares based algorithm for identification of stochastic linear systems. IEEE Transactions on Signal Processing, 1998, 46(6): 1631-1638.
5. Feng C B, Zheng W X. Robust identification of stochastic linear systems with correlated noise. IEE Proceedings, 1991, 138(5): 484-492.
6. Zheng W X. Fast identification of autoregressive signals from noisy observations. IEEE Transactions on Circuits and Systems, 2005, 52(1): 43-48.
7. Zheng W X. Parameter estimation of stochastic linear systems with noisy input. International Journal of Systems Science, 2004, 35(3): 185-190.
8. Yang Hui-Zhong, Zhang Yong. Comparisons of bias compensation methods and other identification approaches for Box-Jenkins models. Control Theory and Applications, 2007, 24(2): 215-222.
9. Ding F, Chen T, Qiu L. Bias compensation based recursive least squares identification algorithm for MISO systems. IEEE Transactions on Circuits and Systems, 2006, 53(5): 349-353.
10. Ding F, Chen T. Combined parameter and output estimation of dual-rate systems using an auxiliary model. Automatica, 2004, 40(10): 1739-1748.
11. Ding F, Chen T. Performance bounds of forgetting factor least squares algorithm for time-varying systems with finite measurement data. IEEE Transactions on Circuits and Systems, 2005, 52(3): 555-566.
12. Ding Feng, Yang Jia-Ben. Computation formulas of the noise to signal ratio of input output systems. Journal of Tsinghua University (Science and Technology), 1998, 38(9): 107-110.