title: V. ZUBOV’S OPTIMUM DAMPING METHOD IN THE CONTROL PROBLEM OF ONE GYROSCOPE SYSTEM
metadata.name: dc.contributor.author
metadata.value: ZHABKO, ALEKSEI P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: ZHABKO, NATALYA A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: YAKOVLEV, PAVEL V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-08-17T20:55:57Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-08-17T20:55:57Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: ZHABKO A. P., ZHABKO N. A., YAKOVLEV P. V. V. ZUBOV’S OPTIMUM DAMPING METHOD IN THE CONTROL PROBLEM OF ONE GYROSCOPE SYSTEM. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2022, vol. 18, iss. 2, pp. 278–284.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: DOI: 10.21638/11701/spbu10.2022.208
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/37412
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article considers the control problem of the aircraft cabin simulator with a four-axis gimbal gyroscopic system. The difficulty of the control problem of standard three-axis gimbal gyroscopic system is the presence of the phenomena “gimbal lock” when the two axes of the system become collinear or close to collinear. One of the applied solutions to avoid “gimbal lock” is to use of the fourth additional gimbal. Such fore-axis gimbal systems are presented in the works of various autors. However, the problem of an optimal control of four-axis gimbal gyroscopic system is still under the question. Sufficient conditions for the solvability of the control problem are obtained on the base of the one-to-one interconnection between the movement of the cabin, the angular velocities of the cabin axes and the necessary deviations of gimbals rotation angles. This result is presented in lemmas. According this obtained sufficient conditions, the algorithm for constructing a control of the gimbal system in terms of optimal damping process of movement, according to Zubov’s method, is proposed.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by Russian Foundation for Basic Research (project N 20-07-00531 А).
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. Applied Mathematics. Computer Science. Control Processes;Volume 18; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: DUMPING
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: OPTIMAL CONTROL
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: GYROSCOPE
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ROTATION CONTROL
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: V. ZUBOV’S OPTIMUM DAMPING METHOD IN THE CONTROL PROBLEM OF ONE GYROSCOPE SYSTEM
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 278-284.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/37412/1/278-284.pdf
resources.format: Adobe PDF
resources.size: 358,34 kB