ABSTRACT
We consider an automatic control system with a three-position relay of hysteresis type and a continuous periodic external disturbance. The purpose of the paper is to define the values of the system parameters at which periodic modes exist. A theorem on the existence of periodic solutions is proved. We provide an application with a numerical example to support the theorem.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Alexander M. Kamachkin http://orcid.org/0000-0001-5934-4033
Dmitriy K. Potapov http://orcid.org/0000-0002-4781-252X
Victoria V. Yevstafyeva http://orcid.org/0000-0001-7449-7089