Existence of periodic modes in automatic control system with a three-position relay

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Existence of periodic modes in automatic control system with a three-position relay. / Kamachkin, A.M.; Potapov , D.K.; Yevstafyeva, V.V.

In: International Journal of Control, Vol. 93, No. 4, 2020, p. 763-770.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{4813fa0da0ef4e08bdc03a3bc6d9ba88,

title = "Existence of periodic modes in automatic control system with a three-position relay",

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.",

keywords = "34A34, 34A36, 34C25, 34H05, 93C73, Automatic control system, hysteresis, periodic external disturbance, periodic solutions, three-position relay",

author = "A.M. Kamachkin and D.K. Potapov and V.V. Yevstafyeva",

year = "2020",

doi = "10.1080/00207179.2018.1562221",

language = "English",

volume = "93",

pages = "763--770",

journal = "International Journal of Control",

issn = "0020-7179",

publisher = "Taylor & Francis",

number = "4",

}

RIS

TY - JOUR

T1 - Existence of periodic modes in automatic control system with a three-position relay

AU - Kamachkin, A.M.

AU - Potapov , D.K.

AU - Yevstafyeva, V.V.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - 34A34

KW - 34A36

KW - 34C25

KW - 34H05

KW - 93C73

KW - Automatic control system

KW - hysteresis

KW - periodic external disturbance

KW - periodic solutions

KW - three-position relay

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85059519568&origin=inward&txGid=43b92a9d4cd32c69d24dfe3595111d4f

UR - http://www.scopus.com/inward/record.url?scp=85059519568&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/existence-periodic-modes-automatic-control-system-threeposition-relay

U2 - 10.1080/00207179.2018.1562221

DO - 10.1080/00207179.2018.1562221

M3 - Article

VL - 93

SP - 763

EP - 770

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 4

ER -

ID: 37163710