ADAPTIVE MODEL SELECTION AND ESTIMATION FOR NONLINEAR-SYSTEMS USING A SLIDING DATA WINDOW

被引:21
作者
LUO, W [1 ]
BILLINGS, SA [1 ]
机构
[1] UNIV SHEFFIELD,DEPT AUTOMAT CONTROL & SYST ENGN,SHEFFIELD S1 4DU,S YORKSHIRE,ENGLAND
关键词
ADAPTIVE MODEL SELECTION; NONLINEAR SYSTEM;
D O I
10.1016/0165-1684(95)00081-N
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A new algorithm which provides adaptive model selection and estimation on-line is derived based on the polynomial nonlinear ARMAX model (NARMAX). The algorithm uses rectangular windowing regression procedures where the forgetting factor is unity within a sliding data window. Variations in the model structure, or which terms are in the model, and the parameter estimates are tracked by using a sliding rectangular window based on Givens rotations. The algorithm which minimizes the loss function at every step by selecting significant regression variables and computing the corresponding parameter estimates provides an efficient adaptive procedure which can be applied in nonlinear signal processing applications. Simulated examples are included to demonstrate the performance of the new algorithm.
引用
收藏
页码:179 / 202
页数:24
相关论文
共 19 条
[1]  
Billings, Voon, Structure detection and model validity tests in the identification of nonlinear systems, IEE Proceedings D Control Theory and Applications, 130, pp. 193-199, (1983)
[2]  
Billings, Voon, Correlation based model validity tests for non-linear models, International Journal of Systems Science, 15, pp. 601-615, (1986)
[3]  
Billings, Voon, A prediction error and stepwise regression estimation algorithm for nonlinear systems, Internat. J. Control, 44, pp. 803-822, (1986)
[4]  
Billings, Voon, Piecewise linear identification of nonlinear systems, Internat. J. Control, 46, 1, pp. 215-235, (1987)
[5]  
Billings, Chen, Extended model set, global data and threshed model identification of severely nonlinear systems, Internat. J. Control, 50, 5, pp. 1897-1923, (1989)
[6]  
Chambers, Regression updating, Journal of the American Statistical Association, 66, 336, pp. 744-748, (1971)
[7]  
Chen, Billings, A recursive prediction error parameter estimator for nonlinear models, Internat. J. Control, 49, pp. 569-594, (1989)
[8]  
Chen, Billings, Representations of nonlinear systems: The NARMAX model, Internat. J. Control, 49, pp. 1013-1032, (1989)
[9]  
Chen, Billings, Luo, Orthogonal least squares methods and their application to non-linear system identification, Internat. J. Control, 50, pp. 1873-1896, (1989)
[10]  
Clarke, Gawthrop, Self-tuning controller, Proc. Inst. Elec. Emg., 122, pp. 929-934, (1975)