Wavelet support vector machines and its application for nonlinear system identification

Authors:
Xiangjun Wen;Yunze Cai;Xiaoming Xu
Affiliations:
Automation Department, Shanghai Jiaotong University, Shanghai, China;Automation Department, Shanghai Jiaotong University, Shanghai, China;Automation Department, Shanghai Jiaotong University, Shanghai, China
Venue:
ISNN'05 Proceedings of the Second international conference on Advances in neural networks - Volume Part II
Year:
2005

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Abstract

Based on a novel multidimensional wavelet kernel constructed in Reproducing Kernel Hilbert Space (RKHS), an identification scheme with the Wavelet Support Vector Machine (WSVM) estimator is proposed for nonlinear dynamic systems. The good reproducing property of wavelet kernel function enhances the generalization ability of the system identification scheme. Two cases are presented to validate the proposed method and show its feasibility.