Pseudospectral feedback control for three-axis magnetic attitude stabilization in elliptic orbits
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In this paper a pseudospectral control law is applied to the magnetic attitude control of satellites in elliptic low Earth orbits. Our results show that three-axis magnetic attitude stabilization can be achieved by using a pseudospectral control law via the receding horizon control in elliptic orbits. The solutions from the pseudospectral control law are in excellent agreement with those obtained from the Riccati equation, but the computation speed improves by one order of magnitude. For the case investigated, the results show the effects of the known disturbing pitch torque are minimized when the satellite is in an unstable gravity gradient configuration.