Identification of the Parameters of Van der Pol Oscillators.

The problem of identifying the parameters of a dynamic system that describes the oscillations of coupled van der Pol oscillators is considered. A method for constructing a nonlinear identifier is proposed to asymptotically estimate unknown input signals (phase vector of the system) in real time. The method of invariant relations is used to synthesize additional relations between the known and unknown quantities in control problems on the trajectories of the system under consideration. Numerical modeling confirms the applicability of the proposed procedure of solving the identification problem. [ABSTRACT FROM AUTHOR]