title: Suppression of oscillation of a trolley with a double pendulum by means of control of its acceleration
metadata.name: dc.contributor.author
metadata.value: Zegzhda, Sergey A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shatrov, Egor A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Yushkov, Mikhail P.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-01-05T18:20:06Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-01-05T18:20:06Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Zegzhda S. A., Shatrov E. A., Yushkov M.P. Suppression of oscillation of a trolley with a double pendulum by means of control of its acceleration. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 4, pp. 683–688.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2016.418
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/5909
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of transition of a mechanical system from one phase state to another is one of the most
  important problems of the control theory. In this case, a model problem consists in finding the optimal
  control force which transports the trolley with pendulums moving horizontally, for example, from a state of
  rest to a new state of rest over a given distance during the fixed time. In their previous papers the authors
  have shown that when solving such a problem with the help of the Pontryagin maximum principle with
  minimization of the functional of the control force squared, a high-order constraint is realized automatically
  (for instance, an eighth-order constraint for the motion of a trolley with two pendulums). That is why, for
  solving the same problem the generalized Gauss principle has been used that made it possible to find the
  control force as a polynomial. In the present paper the problem of suppression of oscillation of a trolley
  with a double pendulum is solved by means of the same principle. It is offered first to find the acceleration
  of the trolley as a control instead of the force, and then to seek immediately the control force by the
  obtained law of variation of the optimal acceleration of the trolley. Refs 4. Figs 2.
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. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: control of motion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: control force
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Pontryagin maximum principle
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: generalized Gauss principle
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Suppression of oscillation of a trolley with a double pendulum by means of control of its acceleration
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 18-Zegzhda.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/5909/1/18-Zegzhda.pdf
resources.format: Adobe PDF
resources.size: 237,69 kB