Advanced_Setpoints

  This report considers trajectory planning with constrained dynamics and design of an appropriate feedforward controller for single axis motion control. A motivation is given for using model-based fourth order feedforward with fourth order trajectories. An algorithm is given for calculating higher order trajectories with bounds on all considered derivatives for point to point moves. It is shown that these trajectories are time-optimal in the most relevant cases. All required equations for third and fourth order trajectory planning are explicitly derived. Implementation, discretization and quantization effects are considered. Simulation results show the superior effectiveness of fourth order feedforward in comparison with rigid-body feedforward