Identification of nonlinear dynamic systems: Time-frequency filtering and skeleton curves (Q5937077)

The nonlinear behavior varying with the instantaneous response is analyzed through the joint time-frequency analysis method for a class of nonlinear systems. The time-frequency masking operator together with the effective time-frequency region of an asymptotic signal are defined. The general skeleton linear system (GSLS) and skeleton curves of a class of nonlinear systems are built using the time-frequency filtering method. The relationship between the two systems is then studied. An identification method is proposed based on the skeleton curves and the time frequency filtering technique. The authors show that the numerical results are in good agreement with theoretical predictions. Furthermore, the method is interesting with respect to precision, testing time and computational time.