Identification of Constant Parameters of Dynamic Systems by a Time-Frequency Method

Abstract

A time-frequency method for identifying linear dynamic systems of a general form with constant parameters and delays in their observable variables is considered. The identification problem is found to be decomposable into the problem of estimating unknown parameters and the problem of estimating the initial conditions. Applying the time-frequency method to identify the differential equation of the Van der Pol oscillator, which is nonlinear by both its state and parameters, is considered. Examples are used to show that the time-frequency method solves the identification problem both for stable and unstable dynamic systems.