Convergence of HLS estimation algorithms for multivariable ARX-like systems

Applied Mathematics and Computation

Volumn 190, Issue 2, 2007, Pages 1081-1093

  Wang, Lingyun ^a   Ding, Feng ^b   Liu, Peter X ^c  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b JIANGNAN UNIVERSITY   (China)

^c CARLETON UNIVERSITY   (Canada)

Author keywords

Convergence properties; Hierarchical identification principle; Least squares; Multivariable systems; Parameter estimation; Recursive identification

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; HIERARCHICAL SYSTEMS; LEAST SQUARES APPROXIMATIONS; MULTIVARIABLE SYSTEMS; PARAMETER ESTIMATION; RECURSIVE FUNCTIONS; STOCHASTIC MODELS;

CONVERGENCE PROPERTIES; HIERARCHICAL IDENTIFICATION PRINCIPLE; RECURSIVE IDENTIFICATION;

ALGORITHMS;

EID: 34250622449     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.01.089     Document Type: Article

References (14)

1. Ding F., and Chen T. Hierarchical gradient-based identification of multivariable discrete-time systems. Automatica 41 2 (2005) 315-325
2. Ding F., and Chen T. Hierarchical least squares identification methods for multivariable systems. IEEE Transactions on Automatic Control 50 3 (2005) 397-402
3. F. Ding, D.Q. Zhu, B. Zou, Convergence analysis of hierarchical least squares algorithms for MIMO systems, in: Proceedings of the Second International Conference on Impulsive Dynamical Systems and Applications, Wuxi, China, October 28-30, 2005, pp. 23-31.
4. Ding F., and Chen T. Hierarchical identification of lifted state-space models for general dual-rate systems. IEEE Transactions on Circuits and Systems-I: Regular Papers 52 6 (2005) 1179-1187
5. Ljung L. System Identification: Theory for the User (1999), Prentice-Hall, Englewood Cliffs, NJ
6. Goodwin G.C., and Sin K.S. Adaptive Filtering Prediction and Control (1984), Prentice-Hall, Englewood Cliffs, NJ
7. Ding F., and Chen T. Combined parameter and output estimation of dual-rate systems using an auxiliary model. Automatica 40 10 (2004) 1739-1748
8. Ding F., and Chen T. Performance bounds of forgetting factor least squares algorithm for time-varying systems with finite measurement data. IEEE Transactions on Circuits and Systems-I: Regular Papers 52 3 (2005) 555-566
9. Ding F., and Chen T. Parameter estimation of dual-rate stochastic systems by using an output error method. IEEE Transactions on Automatic Control 50 9 (2005) 1436-1441
10. Ding F., and Chen T. Identification of Hammerstein nonlinear ARMAX systems. Automatica 41 9 (2005) 1479-1489
11. Ding F., Liu P., and Shi Y. Convergence analysis of estimation algorithms of dual-rate stochastic systems. Applied Mathematics and Computation 176 1 (2006) 245-261
12. Ding F., Shi Y., and Chen T. Performance analysis of estimation algorithms of non-stationary ARMA processes. IEEE Transactions on Signal Processing 54 3 (2006) 1041-1053
13. Ding F., and Chen T. Performance analysis of multi-innovation gradient type identification methods. Automatica 43 1 (2007) 1-14
14. Ding F., Chen T., and Qiu L. Bias compensation based recursive least squares identification algorithm for MISO systems. IEEE Transactions on Circuits and Systems-II: Express Briefs 53 5 (2006) 349-353