If you intend to control the motion on a flat plane (x, y), perhaps you can specify a pair of parametric equations with the time parameter, t: x(t) and y(t)
You can plan the trajectory on a graph paper. Each dot may represent one-second lapse.
it depends on the non-linearity of your system (defined in your MPC). For non-linear cases the quality of the solution , convergence rate and calculation time is a function of your reference trajectory or your initial solution.
I hope this help, if not you can write me a message.