On the application of the averaging approach in the problem of Lorentz attitude stabilization of a satellite

An Earth-pointing dynamically symmetric satellite with Lorentz attitude control system is under consideration. The problem of the satellite attitude stabilization in the orbital reference frame in the presence of gravitational disturbing torque is studied. The averaging technique is developed and ap...

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Bibliographic Details
Main Authors: Aleksandrov, A. Yu, Tikhonov, A. A.
Format: Conference Proceeding
Language:English
Subjects:
Attitude stability
Control stability
Liapunov direct method
Liapunov functions
Mathematical analysis
Orbital stability
Parameter estimation
Perturbation
Quadrupoles
Satellite attitude control
Torque
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Summary:An Earth-pointing dynamically symmetric satellite with Lorentz attitude control system is under consideration. The problem of the satellite attitude stabilization in the orbital reference frame in the presence of gravitational disturbing torque is studied. The averaging technique is developed and applied in the problem. A rigorous mathematical justification is proposed, which makes it possible to obtain estimates for control parameters that provide asymptotic stability of the satellite equilibrium position and ensures satellite attitude stabilization despite the underactuation due to the Lorentz control torque. The proof is based on the averaging technique and the Lyapunov direct method. Original constructions of nonstationary Lyapunov functions are proposed. These constructions take into account the structure of perturbations acting on the considered system. The quadrupole approximation of the Earth’s magnetic field is used.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0036213