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Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique

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

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Abstract

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.

Item Type: Article (Journal)
Additional Information: 6540/8581
Uncontrolled Keywords: Satellite attitude control; Magnetic torque; Non-linear optimal control; State-dependent Riccati equation; Pseudo-linear systems
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics > TL787 Astronautics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User: Dr. Mohammad Abdelrahman
Date Deposited: 07 Dec 2011 12:58
Last Modified: 07 Dec 2011 12:59
URI: http://irep.iium.edu.my/id/eprint/8581

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