title: On One Problem of Optimal Control of a Quadcopter with a Given Intermediate Value of Part of the Coordinates of the Phase Vector
metadata.name: dc.contributor.author
metadata.value: Barseghyan, Vanya Rafaelovich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Simonyan, Tamara Aleksanovna
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Matevosyan, Aram Gagikovich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-12-02T13:44:50Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-12-02T13:44:50Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-06
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2024.205
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/48049
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Taking into account the growing use of quadcopters for various purposes, this work is devoted to considering the issues of mathematical modeling of their spatial motion and constructing a program optimal control law that ensures flight with a given intermediate value of part of the coordinates of the phase vector at some point in time. Based on the laws of theoretical mechanics, a system of differential equations describing the spatial motion of the quadcopter is given. For a linearized mathematical model of the motion of a quadcopter and a quadratic functional, the problem of constructing an optimal control law with given initial and final values of the phase vector and the value of a part of the coordinates at an intermediate point in time solved by the method of problems of moments. Optimal control functions and corresponding phase trajectories of optimal motion are constructed, taking into account the value of a part of the coordinates at some intermediate point in time. To illustrate the proposed approach, explicit expressions for the program optimal control function, phase coordinates of motion and corresponding graphs are constructed for specific numerical values.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This study was financially supported by the Higher Education and Science Committee of RA (project No.23-2DP-1B001).
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 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: quadcopter
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mathematical model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimal control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: intermediate condition
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: phase trajectories
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On One Problem of Optimal Control of a Quadcopter with a Given Intermediate Value of Part of the Coordinates of the Phase Vector
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 24205-jdecp-barseghyan.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/48049/1/24205-jdecp-barseghyan.pdf
resources.format: Adobe PDF
resources.size: 835,42 kB