MAXIMUM-LIKELIHOOD IDENTIFICATION OF STOCHASTIC WIENER-HAMMERSTEIN-TYPE NONLINEAR-SYSTEMS

被引:39
作者
CHEN, CH
FASSOIS, SD
机构
[1] Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor
关键词
D O I
10.1016/0888-3270(92)90061-M
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The identification problem for non-linear Wiener-Hammerstein-type systems is considered. Unlike alternative techniques that are based on deterministic system representations, a stochastic model structure that explicitly accounts for both the input-output and noise dynamics is postulated. The uniqueness properties of this structure are analysed, and appropriate necessary and sufficient conditions derived. A new time-domain identification method based on the Maximum Likelihood principle is then introduced. Unlike alternative approaches that are mainly in the frequency and correlation domains, the proposed method offers statistically optimal estimates from a single record of normal operating data, and is capable of operating directly on the time-domain data and overcoming errors associated with the evaluation of correlation functions/Fourier transforms or multi-stage procedures. The effectiveness and accuracy of the proposed method are verified via numerical simulations with a number of different systems and noise to signal ratios. © 1992.
引用
收藏
页码:135 / 153
页数:19
相关论文
共 22 条
[1]  
Billings, Identification of non-linear systems—A survey, IEE Proceedings, 127, pp. 272-285, (1980)
[2]  
Billings, Fakhouri, Identification of systems containing linear dynamic and static non-linear elements, Automatica, 18, pp. 15-26, (1982)
[3]  
Lee, Schetzen, Measurement of the Wiener kernels of a non-linear system by cross-correlation, International Journal of Control, 2, pp. 237-254, (1965)
[4]  
Isobe, Sato, An integro-differential formula on the Wiener kernel and its application to sandwich system identification, IEEE Transactions on Automatic Control, 29, pp. 595-602, (1984)
[5]  
Wickesberg, Geisler, Artifacts in Wiener kernels estimated using Gaussian white noise, IEEE Transactions on Biomedical Engineering, 31, pp. 454-461, (1984)
[6]  
Gardiner, Identification of processes containing single-valued non-linearities, International Journal of Control, 18, pp. 1029-1039, (1973)
[7]  
Webb, Identification of the Volterra kernels of a process containing single-valued non-linearities, Electronics Letters, 10, pp. 344-346, (1974)
[8]  
Shanmugam, Jong, Identification of non-linear systems in frequency domain, IEEE Transactions on Aerospace and Electronic Systems, 11, pp. 1218-1225, (1975)
[9]  
Sandor, Williamson, Identification and analysis of non-linear systems by tensor techniques, International Journal of Control, 27, pp. 853-878, (1978)
[10]  
Korenberg, Identification of biological cascades of linear and static non-linear systems, Proceedings of the 16th Midwest Symposium on Control Theory, pp. 2.1-2.9, (1973)