title: Nonlinear Dynamics of the Primary Oscillation Circuit of a Mems Gyroscope Under the Action of Phase-locked Loop and Automatic Gain Control Systems
metadata.name: dc.contributor.author
metadata.value: Igumnova, Vasilisa Sergeevna
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Lukin, Alexey Vyacheslavovich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Popov, Ivan Alekseevich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kuznetsov, Nikolay Vladimirovich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Lobachev, Mikhail Yurievich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Belyaev, Yakov Valerievich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-01-10T11:46:40Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-01-10T11:46:40Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-12
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2023.402
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44571
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this work, we study the dynamics of primary oscillations of a high-Q micromechanical resonator - a sensitive element of an RR-type MEMS gyroscope - under the action of various implementations of a phase-locked loop system operating in conjunction with an automatic gain control system for an electrostatic drive. The study of the dynamics of the object is carried out both numerically and analytically - using the averaging method. Conditions for the stability of a stationary regime in a linear approximation are obtained. The questions of accuracy of various methods of numerical solution of differential equations of the circuit of primary oscillations are considered. The influence of the mechanical nonlinearity of the resonator on the dynamics of the resonator and the control system has been studied. An implementation of a low-order PLL circuit that does not contain a double-frequency spurious signal at the output of the phase detector is proposed. The output characteristics of control systems (speed, capture bandwidth, etc.) are analyzed and qualitative conclusions are drawn about the features of the interaction between the dynamics of a mechanical oscillatory link and the PLL-ARC circuit.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work was supported by the Russian Science Foundation ,grant no.
  21-71-10009, https://rscf.ru/en/project/21-71-10009/.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Differential Equations and Control Processes;Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: MEMS gyroscope
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: primary oscillations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: PLL
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: AGC
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Nonlinear Dynamics of the Primary Oscillation Circuit of a Mems Gyroscope Under the Action of Phase-locked Loop and Automatic Gain Control Systems
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 14-41.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44571/1/14-41.pdf
resources.format: Adobe PDF
resources.size: 4,16 MB