Nonlinear system identification based on the empirical envelope method
Received:October 22, 2016  Revised:November 15, 2016
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DOI:10.7511/jslx20161022001
KeyWord:nonlinear system  instantaneous frequency  empirical envelope method  parameter identification
  
AuthorInstitution
张明杰 大连理工大学 土木工程学院, 大连
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Abstract:
      An efficient nonlinear system parameter identification method is developed on the basis of the relationship between the instantaneous characteristics of the system response and system parameters,which is derived by the averaging method.The instantaneous characteristics are calculated by the empirical envelope method (EE),and the superiority of EE compared with the traditional Hilbert transform (HT) is illustrated.The identification accuracy of the developed identification method is verified by numerical example.The influences of the signal length,initial condition,sampling frequency and the ratio of noise are analyzed.Results show that the linear parameters are immune from these factors,while the nonlinear parameters are sensitive to them; the proposed method shows excellent performance and the identification accuracy can be guaranteed even when the system response contains high noise pollution.