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

Pulse-Width Predictive Control for LTV Systems with Application to Spacecraft Rendezvous