Identification of IIR nonlinear systems without prior structural information

被引:21
作者
Bai, Er-Wei [1 ]
Tempo, Roberto
Liu, Yun
机构
[1] Univ Iowa, Dept Elect & Comp Engn, Iowa City, IA 52242 USA
[2] Politecn Torino, CNR, IEIIT, I-10129 Turin, Italy
[3] Serv Tech Inc, Chicago, IL 60608 USA
基金
美国国家科学基金会;
关键词
Kernel method; nonlinear system identification; parameter estimation; system identification;
D O I
10.1109/TAC.2007.892385
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we propose a kernel method for identification of infinite impulse response (IIR) nonlinear systems without prior structural information. The main result of the paper is to establish the conditions for asymptotic convergence in terms of the input to output exponential stability. The performance of the method is tested on real world applications and computer simulations. The results obtained show the efficacy of the method.
引用
收藏
页码:442 / 453
页数:12
相关论文
共 29 条
[1]   Frequency domain identification of Hammerstein models [J].
Bai, EW .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (04) :530-542
[2]   IDENTIFICATION OF MIMO NON-LINEAR SYSTEMS USING A FORWARD-REGRESSION ORTHOGONAL ESTIMATOR [J].
BILLINGS, SA ;
CHEN, S ;
KORENBERG, MJ .
INTERNATIONAL JOURNAL OF CONTROL, 1989, 49 (06) :2157-2189
[3]   Identification of nonlinear systems using generalized kernel models [J].
Chen, S ;
Hong, X ;
Harris, CJ ;
Wang, XX .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2005, 13 (03) :401-411
[4]  
Duflo M., 1997, RANDOM ITERATIVE MOD
[5]  
Fan J., 1996, LOCAL POLYNOMIAL MOD
[6]   NONPARAMETRIC SYSTEM-IDENTIFICATION BY KERNEL METHODS [J].
GEORGIEV, AA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (04) :356-358
[7]   STRUCTURE IDENTIFICATION OF NONLINEAR DYNAMIC-SYSTEMS - A SURVEY ON INPUT OUTPUT APPROACHES [J].
HABER, R ;
UNBEHAUEN, H .
AUTOMATICA, 1990, 26 (04) :651-677
[8]  
HABER R, 2000, NONLINEAR SYSTEM IDE
[9]   Nonparametric identification of controlled nonlinear time varying processes [J].
Hilgert, N ;
Senoussi, R ;
Vila, JP .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 39 (03) :950-960
[10]   Nonlinear black-box models in system identification: Mathematical foundations [J].
Juditsky, A ;
Hjalmarsson, H ;
Benveniste, A ;
Delyon, B ;
Ljung, L ;
Sjoberg, J ;
Zhang, QH .
AUTOMATICA, 1995, 31 (12) :1725-1750