PARAMETER IDENTIFICATION OF LTV DYNAMICAL SYSTEM BASED ON WAVELET METHOD

An identification algorithm of the linear time-varying (LTV) dynamical system is developed in this paper. The excitation and response signals are first decomposed using the Daubechies wavelet scaling function. Then the differential vibration equations of the time-varying system are transformed into simple linear equations based on the orthogonality of the scaling functions. The physical parameters can be identified directly by solving the linear equations. The parameter identification equations of linear time-varying discrete and continuous systems are developed in the paper. Numerical results demonstrate the accuracy and the validity of the proposed method for identification of smoothly, periodically and abruptly time-varying parameters