%0 Journal Article
%T Fault diagnosis of complex system based on nonlinear spectrum and kernel principal component analysis<br>结合非线性频谱与核主元分析的复杂系统故障诊断方法
%A ZHANG Jia-liang
%A CAO Jian-fu
%A GAO Feng
%A HAN Hai-tao
%A <br>张家良
%A 曹建福
%A 高峰
%A 韩海涛
%J 控制理论与应用
%D 2012
%I 
%X When the traditional nonlinear frequency spectrum analysis method is applied to diagnose faults in complex systems, the amount of frequency spectrum data is very large, causing inconvenience in directly detecting and identifying faults. A novel fault diagnosis approach is proposed based on the nonlinear frequency spectrum feature and the kernel principal component analysis (KPCA). Firstly, the first three order time domain Volterra kernels are estimated by the leastsquares algorithm, and then the generalized frequency response functions are obtained from the time domain Volterra kernels by multiple Fourier transform. Secondly, the KPCA method is used to compress frequency spectrum data and extract spectrum features. Finally, the multi-classification least-squares support vector machine is used to perform the fault detection and identification. Because of the nonlinear characteristics of frequency spectrum data, we employ the mixed function composed of the polynomial function and the radial basis function as the kernel function, so that the local characteristics and the global characteristics both are taken into considerations. Based on the nonlinear frequency spectrum data, the detailed algorithms are developed for building the kernel principal component model and for online diagnosing the faults. Simulation of fault diagnosis for a nonlinear analog circuit and a servo drive system of the numerical-control machine tool are performed. Experimental results show that the proposed method can greatly lower the data dimensions and improve the identification rate of faults.
%K complex system
%K nonlinear frequency spectrum feature
%K kernel principal component analysis
%K mixed kernel function
%K fault diagnosis<br>复杂系统
%K 非线性频谱特征
%K 核主元分析
%K 混合核函数
%K 故障诊断
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=E4EB2AADE1AB1F60BC6CB0356B5C3872&yid=99E9153A83D4CB11&vid=771469D9D58C34FF&iid=59906B3B2830C2C5&sid=784CFDF6185AED9D&eid=FDE90279419513E0&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=0