  This work presents a model predictive controller (MPC) that is able to handle
linear time-varying (LTV) plants with PWM control. The MPC is based on a
planner that employs a PAM or impulsive approximation as a hot-start and then
uses explicit linearization around successive PWM solutions for rapidly
improving the solution by means of linear programming. As an example, the
problem of rendezvous of spacecraft for eccentric target orbits is considered.
The problem is modeled by the LTV Tschauner-Hempel equations, whose transition
matrix is explicit; this is exploited by the algorithm for rapid convergence.
The efficacy of the method is shown in a simulation study.
