Abstract

An invariant relations method for parameters estimation is used for the wellknown van der Pol oscillator. The approach is based on dynamical extension of original system and synthesis of appropriate invariant relations, from which the unknowns can be expressed as a functions of the known quantities on the trajectories of extended system. The stability property is formally checked taking into account the oscillatory behavior of the system. The simulation results confirm efficiency of the proposed scheme of nonlinear identificator design.

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