title: Monoaxial attitude stabilization of a rigid body in conditions of nonstationary perturbations with zero mean values
metadata.name: dc.contributor.author
metadata.value: Aleksandrov, Alexander Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tikhonov, Alexey A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T17:06:16Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T17:06:16Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Aleksandrov A.Yu., Tikhonov A.A. Monoaxial attitude stabilization of a rigid body in conditions of nonstationary perturbations with zero mean values. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 2, pp. 270– 280.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.209
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15559
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article deals with the problem of monoaxial stabilization of an angular position of a rigid body exposed to a nonstationary perturbing torque. The perturbing torque is represented as a linear combination of homogeneous functions with variable coefficients. It is assumed that the order of homogeneity of the perturbations does not exceed the order of homogeneity of the restoring torque, and the variable coefficients in the components of the disturbing torque have zero mean values. A theorem on sufficient conditions for the asymptotic stability of a programmed motion of the body is proven with the use of the Lyapunov direct method. The found conditions guaranteeing the solution of the problem of monoaxial stabilization of the body do not impose any restrictions on the amplitudes of the oscillations of the disturbance torque coefficients. The results of numerical modeling, illustrating the conclusions obtained in the work, are presented.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (гранты №17-01-00672-а и 19-01-00146-а).
metadata.lang: -
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: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: monoaxial stabilization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: attitude motion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonlinear perturbations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic stability
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Monoaxial attitude stabilization of a rigid body in conditions of nonstationary perturbations with zero mean values
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 270-280.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15559/1/270-280.pdf
resources.format: Adobe PDF
resources.size: 392,92 kB