Attitude Stabilization of a Satellite with Large Flexible Elements Using On-Board Actuators Only
Attitude control of a satellite with three flexible elements is considered. Control torque is developed by a set of reaction wheels, which are installed on the central hub of the satellite. The flexible elements are large, so the control torque constraints must be taken into account. In the paper, a...
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| Format: | Article |
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MDPI AG
2023-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/24/4928 |
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| author | Stepan Tkachev Alexey Shestoperov Anna Okhitina Anna Nuralieva |
| author_facet | Stepan Tkachev Alexey Shestoperov Anna Okhitina Anna Nuralieva |
| author_sort | Stepan Tkachev |
| collection | DOAJ |
| description | Attitude control of a satellite with three flexible elements is considered. Control torque is developed by a set of reaction wheels, which are installed on the central hub of the satellite. The flexible elements are large, so the control torque constraints must be taken into account. In the paper, a control algorithm based on a linear-quadratic regulator is studied. The asymptotic stability of this control is shown. The choice of the control parameters is based on the closed form solution of the corresponding algebraic Riccati equation, which is supplemented by the linear matrix inequality. To increase the convergence rate, particle swarm optimization is used to tune the control parameters. |
| first_indexed | 2024-03-08T20:33:45Z |
| format | Article |
| id | doaj.art-4dba5c333dae41b0b25735039cabdb63 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-08T20:33:45Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4dba5c333dae41b0b25735039cabdb632023-12-22T14:23:19ZengMDPI AGMathematics2227-73902023-12-011124492810.3390/math11244928Attitude Stabilization of a Satellite with Large Flexible Elements Using On-Board Actuators OnlyStepan Tkachev0Alexey Shestoperov1Anna Okhitina2Anna Nuralieva3Keldysh Institute of Applied Mathematics of the RAS, Miusskaya Sq. 4, 125047 Moscow, RussiaKeldysh Institute of Applied Mathematics of the RAS, Miusskaya Sq. 4, 125047 Moscow, RussiaKeldysh Institute of Applied Mathematics of the RAS, Miusskaya Sq. 4, 125047 Moscow, RussiaKeldysh Institute of Applied Mathematics of the RAS, Miusskaya Sq. 4, 125047 Moscow, RussiaAttitude control of a satellite with three flexible elements is considered. Control torque is developed by a set of reaction wheels, which are installed on the central hub of the satellite. The flexible elements are large, so the control torque constraints must be taken into account. In the paper, a control algorithm based on a linear-quadratic regulator is studied. The asymptotic stability of this control is shown. The choice of the control parameters is based on the closed form solution of the corresponding algebraic Riccati equation, which is supplemented by the linear matrix inequality. To increase the convergence rate, particle swarm optimization is used to tune the control parameters.https://www.mdpi.com/2227-7390/11/24/4928attitude controllarge flexible elementlinear quadratic controlasymptotic stabilityparticle swarm optimizationcontrol parameter |
| spellingShingle | Stepan Tkachev Alexey Shestoperov Anna Okhitina Anna Nuralieva Attitude Stabilization of a Satellite with Large Flexible Elements Using On-Board Actuators Only Mathematics attitude control large flexible element linear quadratic control asymptotic stability particle swarm optimization control parameter |
| title | Attitude Stabilization of a Satellite with Large Flexible Elements Using On-Board Actuators Only |
| title_full | Attitude Stabilization of a Satellite with Large Flexible Elements Using On-Board Actuators Only |
| title_fullStr | Attitude Stabilization of a Satellite with Large Flexible Elements Using On-Board Actuators Only |
| title_full_unstemmed | Attitude Stabilization of a Satellite with Large Flexible Elements Using On-Board Actuators Only |
| title_short | Attitude Stabilization of a Satellite with Large Flexible Elements Using On-Board Actuators Only |
| title_sort | attitude stabilization of a satellite with large flexible elements using on board actuators only |
| topic | attitude control large flexible element linear quadratic control asymptotic stability particle swarm optimization control parameter |
| url | https://www.mdpi.com/2227-7390/11/24/4928 |
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