6533b85efe1ef96bd12bfbcc

RESEARCH PRODUCT

On asymmetric periodic solutions in relay feedback systems

Igor BoikoNikolay KuznetsovNikolay KuznetsovNikolay KuznetsovE. D. AkimovaR. N. Mokaev

subject

010302 applied physicsPhysics0209 industrial biotechnologyComputer Networks and CommunicationsApplied MathematicsMathematical analysis02 engineering and technology01 natural scienceslaw.invention020901 industrial engineering & automationControl and Systems EngineeringRelaylaw0103 physical sciencesSignal ProcessingSystem parametersOscillation (cell signaling)Locus (mathematics)Bifurcation

description

Abstract Asymmetric self-excited periodic motions or periodic solutions which are produced by relay feedback systems that have symmetric characteristics are studied in the paper. Two different mechanisms of producing an asymmetric oscillation by a system with symmetric properties are noted and analyzed by the locus of a perturbed relay system (LPRS) method. Bifurcation between the ability to excite symmetric and asymmetric oscillation with variation of system parameters is analyzed. An algorithm of finding asymmetric solutions is proposed.

yearjournalcountryeditionlanguage
2021-01-01Journal of the Franklin Institute
https://doi.org/10.1016/j.jfranklin.2020.10.024