几类典型随机非线性系统的辨识
IDENTIFICATION OF SEVERAL CLASSES OF STOCHASTIC NONLINEAR SYSTEMS
查看参考文献55篇
|
文摘
|
考察实际中常见的三类典型随机非线性系统(即Wiener、Hammerstein和NARX系统)的辨识,首先概述了现有的递推和非递推辨识算法,然后介绍这三类系统的一个统一辨识框架:利用系统所确定的过程的马氏性及混合型,将辨识转化为求函数零点的问题,基于扩张截尾的随机逼近算法,得到了递推、强一致的辨识结果,并给出了数值模拟验证辨识算法收敛到真值. |
|
其他语种文摘
|
Identification of several classes of stochastic nonlinear systems,i.e.,the Wiener system,the Hammerstein system and the nonlinear ARX system,is considered.First,existing recursive and nonrecursive algorithms for identifying these systems are briefly summarized. Then,a unified framework to recursively identify these systems is introduced.Based on the Markov chains and mixing properties connected with these systems,the identification is transformed into root searching problems.Finally,identification algorithms based on stochastic approximation with expanding truncations are introduced and strong consistency of estimates is established.The theoretical results are verified by simulation examples. |
|
来源
|
系统科学与数学
,2011,31(9):1019-1044 【核心库】
|
|
关键词
|
Wiener系统
;
Hammerstein系统
;
NARX系统
;
马氏链
;
随机逼近
;
递推辨识
|
|
地址
|
中国科学院数学与系统科学研究院, 中国科学院系统控制重点实验室, 北京, 100190
|
|
语种
|
中文 |
|
文献类型
|
研究性论文 |
|
ISSN
|
1000-0577 |
|
学科
|
系统科学;数学 |
|
基金
|
国家自然科学基金资助课题
|
|
文献收藏号
|
CSCD:4420591
|
参考文献 共
55
共3页
|
|
1.
Ljung L. System Identification.
Upper Saddle River,1987
|
CSCD被引
1
次
|
|
|
|
|
2.
Chen H F.
Identification and Stochastic Adaptive Control,1993
|
CSCD被引
1
次
|
|
|
|
|
3.
Kim J. Digital predistortion of wideband signals based on power amplifier model with memory.
IEE Electronics Letters,2001,37(23):1417-1418
|
CSCD被引
41
次
|
|
|
|
|
4.
Ferrari-Trecate G. A clustering technique for identification of piecewise affine systems.
Automatica,2003,39:205-217
|
CSCD被引
19
次
|
|
|
|
|
5.
Zhu Y. Distillation column identification for control using Wiener model.
Proceedings of American Control Conference, 55,1999:3462-3466
|
CSCD被引
1
次
|
|
|
|
|
6.
Fan J Q.
Nonlinear Time Series: Nonparametric and Parametric Approach,2003
|
CSCD被引
2
次
|
|
|
|
|
7.
Ljung L. Perspectives on systems identification.
Proceedings of 17th IFAC World Congress,2008
|
CSCD被引
1
次
|
|
|
|
|
8.
Niness B. Some systems identification challenges and approaches.
Proceedings of 15th IFAC Symposium on System Identification,2009:1-20
|
CSCD被引
1
次
|
|
|
|
|
9.
Eskinat E. Use of Hammerstein models in identification of nonlinear systems.
AIChE Journal,1991,37(2):255-268
|
CSCD被引
20
次
|
|
|
|
|
10.
Kalafatis A. A new approach to the identification of pH processes based on the Wiener model.
Chemical Engineering Science,1995,50(23):3693-3701
|
CSCD被引
6
次
|
|
|
|
|
11.
Hunter I W. The identification of nonlinear biological systems: Wiener and Hammerstein cascade models.
Biological Cybernetics,1986,55:136-144
|
CSCD被引
1
次
|
|
|
|
|
12.
Roll J. Nonlinear system identification via direct weight optimization.
Automatica,2005,41(3):475-490
|
CSCD被引
10
次
|
|
|
|
|
13.
Balestrino A. Automatic nonlinear auto-tuning method for Hammerstein modeling of electrical drives.
IEEE Transactions on Industrial Electronics,2001(3):645-655
|
CSCD被引
2
次
|
|
|
|
|
14.
Benedetto S. Nonlinear equalization of digital satellite channels.
IEEE Journal on Selected Areas in Communications,1983(1):57-62
|
CSCD被引
7
次
|
|
|
|
|
15.
Boyd S. Fading memory and the problem of approximating nonlinear operators with Volterra series.
IEEE Transactions on Circuits and Systems,1985,32(11):1150-1161
|
CSCD被引
12
次
|
|
|
|
|
16.
Chen H F. Recursive identification for Wiener model with discontinuous piece-wise linear function.
IEEE Transactions on Automatic Control,2006,51(3):390-400
|
CSCD被引
14
次
|
|
|
|
|
17.
Hagenblad A. Maximum likelihood identification of Wiener models.
Automatica,2008,44:2697-2705
|
CSCD被引
9
次
|
|
|
|
|
18.
Verhaegen M. Identifying MIMO Wiener systems in the context of subspace model identificatin methods.
International Journal of Control,1996,63(2):331-349
|
CSCD被引
6
次
|
|
|
|
|
19.
Voros J. Parameter identification of Wiener systems with discontinuous nonlinearities.
Systems and Control Letters,2001,44:363-372
|
CSCD被引
6
次
|
|
|
|
|
20.
Wigren T. Convergence analysis of recursive algorithms based on the nonlinear Wiener model.
IEEE Transactions on Automatic Control,1994,39:2191-2206
|
CSCD被引
3
次
|
|
|
|
|
了解气象卫星更多信息，请访问