Identification of van der Pol oscillator parameters-Reference-Cited by-同舟云学术

Identification of van der Pol oscillator parameters

Published:2021-04-24 Issue: Volume:34 Page:11-18
ISSN:1683-4720
Container-title:Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine
language:uk
Short-container-title:Proc. IAMM NASU

Author:

Baraniukova Iryna¹,Shcherbak Volodymyr¹

Affiliation:

1. Institute of Applied Mathematics and Mechanics of NAS of Ukraine, Sloviansk, Ukraine

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.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Subject

General Engineering

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