Title
Identification of nonlinear systems using generalized kernel models
Abstract
Nonlinear system identification is considered using a generalized kernel regression model. Unlike the standard kernel model, which employs a fixed common variance for all the kernel regressors, each kernel regressor in the generalized kernel model has an individually tuned diagonal covariance matrix that is determined by maximizing the correlation between the training data and the regressor using a repeated guided random search based on boosting optimization. An efficient construction algorithm based on orthogonal forward regression with leave-one-out (LOO) test statistic and local regularization (LR) is then used to select a parsimonious generalized kernel regression model from the resulting full regression matrix. The proposed modeling algorithm is fully automatic and the user is not required to specify any criterion to terminate the construction procedure. Experimental results involving two real data sets demonstrate the effectiveness of the proposed nonlinear system identification approach.
Year
DOI
Venue
2005
10.1109/TCST.2004.841652
IEEE Trans. Contr. Sys. Techn.
Keywords
Field
DocType
Nonlinear systems,Kernel,Covariance matrix,Optimization methods,Training data,Boosting,Least squares methods,System identification,Testing,Statistical analysis
Principal component regression,Radial basis function kernel,Control theory,Kernel principal component analysis,Polynomial kernel,Artificial intelligence,Kernel regression,Kernel embedding of distributions,Algorithm,Variable kernel density estimation,Mathematics,Machine learning,Kernel (statistics)
Journal
Volume
Issue
ISSN
13
3
1063-6536
Citations 
PageRank 
References 
12
1.05
19
Authors
4
Name
Order
Citations
PageRank
Sheng Chen11813230.12
X. Hong279758.71
C. J. Harris31327.59
Xunxian Wang4503.78