6533b851fe1ef96bd12a8bb7

RESEARCH PRODUCT

Analysis of oscillations in discontinuous Lurie systems via LPRS method

R. N. MokaevNikolay KuznetsovIgor BoikoE. D. Akimova

subject

PhysicsPeriodic oscillationMaterials Science (miscellaneous)Mathematical analysisPeriodic oscillationsOrder (ring theory)Industrial and Manufacturing EngineeringSystem alaw.inventionHarmonic balanceRelaylawBusiness and International ManagementLocus (mathematics)

description

We discuss advantages and limitations of the harmonic balance method and the locus of a perturbed relay system (LPRS) method in the problem of finding periodic oscillations. In this paper we present the results of using harmonic balance method and LPRS method while investigating a 3rd order dynamic system in Lurie form. In this system a symmetric periodic oscillation is found, while other two asymmetric periodic motions are not found using both methods.

https://doi.org/10.21595/vp.2019.20817