Semi-numerical trajectory planning for coupled systems of linear diffusion-convection-reaction equations

The trajectory planning problem is considered for coupled linear diffusion-convection-reaction equations using a semi-numerical approach. For this, spatial discretization is applied to determine approximate solutions to the eigenvalue problem, which are processed in a spectral approach for flatness-based trajectory planning and feedforward control. The assignment of suitable desired trajectories for the flat output is considered to realize finite time transitions between operating points as well as transient output trajectories. Simulation results for an example with cross-diffusion document the applicability of the proposed method.