On Rendezvous Trajectory Design of Earth Orbiting Satellites with Robust L1-Optimal Control for Parameter Variations

This paper proposes a method to design a rendezvous trajectory of Earth orbiting satellite that is energy-saving and robust against parameter variation. In order to obtain inputs that generate robust trajectories, we evaluate the effect of the parameter variations by using the variational system, which considers the variation of the state. We have introduced the variational system of the discrete-time model so that we can apply L1-optimal control. By using Kalman's canonical decomposition, a sufficient condition to suppress the effect of the parameter variation is obtained. Numerical examples exhibit how the proposed method works in suppressing the effect of the parameter variation.