Closed-Loop Control of a Satellite in an Unstable Periodic Orbit about L3

摘要

A stable Luenberger Observer was developed to reconstruct the error states in modal coordinates for a satellite in a periodic orbit about the Earth-Moon Lagrangian point, L3. Observer pole placement for the third root was found to be linear with applied gain. Convergence of the observer estimate to the true state vector was rapid in all cases, but depended upon the initial conditions considered. The addition of the observer did not impede the long-term behavior of the controller in stabilizing the orbit. (Author)