Formation of a rotating ring-shaped three-body tethered nanosatellite system with limited control

The problem of forming a rotating ring-shaped tethered system consisting of three nanosatellites is considered. To analyze the dynamics of the tether system, a mathematical model is developed in the orbital coordinate system using the Lagrange method. Using the sliding mode control method, two contr...

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Main Authors: Shumin Chen, Yu. M. Zabolotnov
Format: Article
Language:English
Published: Samara National Research University 2022-11-01
Series:Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение
Subjects:
Online Access:https://journals.ssau.ru/vestnik/article/viewFile/10849/9273
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author Shumin Chen
Yu. M. Zabolotnov
author_facet Shumin Chen
Yu. M. Zabolotnov
author_sort Shumin Chen
collection DOAJ
description The problem of forming a rotating ring-shaped tethered system consisting of three nanosatellites is considered. To analyze the dynamics of the tether system, a mathematical model is developed in the orbital coordinate system using the Lagrange method. Using the sliding mode control method, two control programs for the deployment of tethers are proposed, in which tether tensions and thrust forces created by low-thrust engines are used as controls. In the first control program, the control actions are directly limited by the permissible limits of tether tensions forces and thrust forces, and when designing the second control program, an auxiliary dynamic system is added into the control system, which introduces control corrections that take into account the saturation effect. The stability of motion of the tethered formation system for both control programs is investigated using the Lyapunov theory. The results of numerical simulations confirmed the possibility of using the proposed control programs for the formation of a rotating triangular tethered system in the form of a regular triangle in the presence of disturbances and with account of the given constraints.
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spelling doaj.art-9e1b64323e224065a60e1c64b5df4c6d2023-03-14T07:01:42ZengSamara National Research UniversityВестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение2542-04532541-75332022-11-01213698410.18287/2541-7533-2022-21-3-69-848820Formation of a rotating ring-shaped three-body tethered nanosatellite system with limited controlShumin Chen0https://orcid.org/0000-0001-8304-6351Yu. M. Zabolotnov1https://orcid.org/0000-0002-0409-3107Samara National Research UniversitySamara National Research UniversityThe problem of forming a rotating ring-shaped tethered system consisting of three nanosatellites is considered. To analyze the dynamics of the tether system, a mathematical model is developed in the orbital coordinate system using the Lagrange method. Using the sliding mode control method, two control programs for the deployment of tethers are proposed, in which tether tensions and thrust forces created by low-thrust engines are used as controls. In the first control program, the control actions are directly limited by the permissible limits of tether tensions forces and thrust forces, and when designing the second control program, an auxiliary dynamic system is added into the control system, which introduces control corrections that take into account the saturation effect. The stability of motion of the tethered formation system for both control programs is investigated using the Lyapunov theory. The results of numerical simulations confirmed the possibility of using the proposed control programs for the formation of a rotating triangular tethered system in the form of a regular triangle in the presence of disturbances and with account of the given constraints.https://journals.ssau.ru/vestnik/article/viewFile/10849/9273nanosatellitestriangular tethered formationtether deploymentsystem dynamicssliding mode controlcontrol constraintsstability of system motion
spellingShingle Shumin Chen
Yu. M. Zabolotnov
Formation of a rotating ring-shaped three-body tethered nanosatellite system with limited control
Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение
nanosatellites
triangular tethered formation
tether deployment
system dynamics
sliding mode control
control constraints
stability of system motion
title Formation of a rotating ring-shaped three-body tethered nanosatellite system with limited control
title_full Formation of a rotating ring-shaped three-body tethered nanosatellite system with limited control
title_fullStr Formation of a rotating ring-shaped three-body tethered nanosatellite system with limited control
title_full_unstemmed Formation of a rotating ring-shaped three-body tethered nanosatellite system with limited control
title_short Formation of a rotating ring-shaped three-body tethered nanosatellite system with limited control
title_sort formation of a rotating ring shaped three body tethered nanosatellite system with limited control
topic nanosatellites
triangular tethered formation
tether deployment
system dynamics
sliding mode control
control constraints
stability of system motion
url https://journals.ssau.ru/vestnik/article/viewFile/10849/9273
work_keys_str_mv AT shuminchen formationofarotatingringshapedthreebodytetherednanosatellitesystemwithlimitedcontrol
AT yumzabolotnov formationofarotatingringshapedthreebodytetherednanosatellitesystemwithlimitedcontrol