Receding Horizon Control For Spatiotemporal Dynamic Systems

Receding horizon control is a type of optimal feedback control in which control performance over a finite future is optimized with a performance index that has a moving initial time and terminal time. Spatiotemporal dynamic systems characterized by both spatial and temporal variables often occur in many research fields. In this study, we develop a novel design method of receding horizon control for a generalized class of spatiotemporal dynamic systems. Using the variational principle, we first derive the exact stationary conditions that must be satisfied for a performance index to be optimized Next, we provide a numerical algorithm to solve the stationary conditions via a finite-dimensional approximation. Finally, the effectiveness of the proposed method is verified by numerical simulations.