Robust optimal control design for spacecraft orbit rendezvous

In this paper, we investigate the robust optimal control problem of spacecraft orbit rendezvous. By using the control parameterization method, the constrained robust optimal control problem is approximated by a sequence of constrained finite dimensional min-max optimal parameter selection problems. Furthermore, these constrained finite dimensional optimal parameter selection problems are transformed into optimization problems with linear matrix inequality (LMI) constraints. A numerical example is provided to show the effectiveness of the proposed method.