Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique
A non-linear attitude control method for a satellite with magnetic torque rods using the state-dependent Riccati equation (SDRE) technique has been developed. The magnetic torque caused by the interaction with the Earth's magnetic field and the magnetic moment of torque rods plays a role of the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2011
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| Online Access: | http://irep.iium.edu.my/8581/1/Abdelrahman_Magnetic_torque.pdf |
| _version_ | 1796875643876540416 |
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| author | Mohammad Abdelrahman, Mohammad Ibraheem Chang, Insu Park, Sang-Young |
| author_facet | Mohammad Abdelrahman, Mohammad Ibraheem Chang, Insu Park, Sang-Young |
| author_sort | Mohammad Abdelrahman, Mohammad Ibraheem |
| collection | IIUM |
| description | A non-linear attitude control method for a satellite with magnetic torque rods using the state-dependent Riccati equation (SDRE) technique has been developed. The magnetic torque caused by the interaction with the Earth's magnetic field and the magnetic moment of torque rods plays a role of the control torque. The detailed equations of motion for this system are presented using angular velocity and quaternions. The SDRE controller is developed for the non-linear systems which can be formed in pseudo-linear representations using the state-dependent coefficient (SDC) method without linearization procedure. The aim of this control system is to achieve a stable attitude within 5°, and minimize the control effort. The stability regions for the SDRE controlled satellite system are estimated through the investigation of the stability conditions developed for pseudo-linear systems and the application of Lyapunov's theorem. For comparisons, the Linear Quadratic Regulator (LQR) method using the solution of the algebraic Riccati equation (ARE) is also applied to this non-linear system. The performance of the SDRE non-linear control system demonstrates more robustness and stability than the LQR control system when subjected to a wide range of initial conditions. |
| first_indexed | 2024-03-05T22:41:41Z |
| format | Article |
| id | oai:generic.eprints.org:8581 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:41:41Z |
| publishDate | 2011 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oai:generic.eprints.org:85812011-12-07T04:59:10Z http://irep.iium.edu.my/8581/ Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique Mohammad Abdelrahman, Mohammad Ibraheem Chang, Insu Park, Sang-Young TL787 Astronautics A non-linear attitude control method for a satellite with magnetic torque rods using the state-dependent Riccati equation (SDRE) technique has been developed. The magnetic torque caused by the interaction with the Earth's magnetic field and the magnetic moment of torque rods plays a role of the control torque. The detailed equations of motion for this system are presented using angular velocity and quaternions. The SDRE controller is developed for the non-linear systems which can be formed in pseudo-linear representations using the state-dependent coefficient (SDC) method without linearization procedure. The aim of this control system is to achieve a stable attitude within 5°, and minimize the control effort. The stability regions for the SDRE controlled satellite system are estimated through the investigation of the stability conditions developed for pseudo-linear systems and the application of Lyapunov's theorem. For comparisons, the Linear Quadratic Regulator (LQR) method using the solution of the algebraic Riccati equation (ARE) is also applied to this non-linear system. The performance of the SDRE non-linear control system demonstrates more robustness and stability than the LQR control system when subjected to a wide range of initial conditions. Elsevier 2011-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/8581/1/Abdelrahman_Magnetic_torque.pdf Mohammad Abdelrahman, Mohammad Ibraheem and Chang, Insu and Park, Sang-Young (2011) Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique. International Journal of Non-Linear Mechanics, 46 (5). pp. 758-771. ISSN 0020-7462 http://www.sciencedirect.com/science/article/pii/S0020746211000205 doi:10.1016/j.ijnonlinmec.2011.02.009 |
| spellingShingle | TL787 Astronautics Mohammad Abdelrahman, Mohammad Ibraheem Chang, Insu Park, Sang-Young Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique |
| title | Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique |
| title_full | Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique |
| title_fullStr | Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique |
| title_full_unstemmed | Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique |
| title_short | Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique |
| title_sort | magnetic torque attitude control of a satellite using the state dependent riccati equation technique |
| topic | TL787 Astronautics |
| url | http://irep.iium.edu.my/8581/1/Abdelrahman_Magnetic_torque.pdf |
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