title: Nonlinear control with distributed delay for angular stabilization of a rigid body
metadata.name: dc.contributor.author
metadata.value: Aleksandrov, Аlexander Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tikhonov, Aleksey A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-12-27T14:59:14Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-12-27T14:59:14Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Aleksandrov A.Yu., Tikhonov A. A. Nonlinear control with distributed delay for angular stabilization of a rigid body. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 4, pp. 653–664. https://doi.org/10.21638/spbu01.2022.408 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.408
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/38723
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of angular stabilization of a rigid body with an arbitrary triaxial ellipsoid
  of inertia is solved. The control strategy is based on the type of PID controller, in which,
  instead of the classical integral term, a more flexible control option is used, which assumes
  the presence of a distributed delay (integral term) in the control torque. In addition, instead
  of the usual linear restoring torque, a non-linear uniform restoring torque is used for the
  first time. The analytical substantiation of the asymptotic stability of the program motion
  is based on the use of a special construction of the Lyapunov—Krasovskii functional.
  A theorem is proved that gives sufficient conditions for the asymptotic stability of the
  program mode of the body angular motion in the form of constructive inequalities with
  respect to control parameters. The effectiveness of the constructed control is demonstrated,
  which simultaneously provides the convergence speed and smoothness of transient process.
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: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9 (67); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: rigid body
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stabilization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: attitude motion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Lyapunov—Krasovskii functionals
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Nonlinear control with distributed delay for angular stabilization of a rigid body
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 653-664.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/38723/1/653-664.pdf
resources.format: Adobe PDF
resources.size: 419,59 kB