Linear Model Predictive Control for Two-Dimensional Transport-Reaction Processes

This work designs a Model Predictive Control (MPC) for a two-dimensional transport-reaction model described by a first-order hyperbolic system. The model predictive controller design requires a discrete in-time modeling setting that is obtained by an exact time discretization utilizing the semigroup, without any model reduction or approximation, usually present in controller designs of DPS. Numerical simulations demonstrate the controller's efficiency in achieving faster convergence and both input and output constraint satisfaction.