Flatness-Based Model Predictive Control of Linear Diffusion-Convection-Reaction Processes

Abstract

Model predictive control is developed for the example of a boundary controlled linear diffusion-convection-reaction system by exploiting the flatness property of the PDE. This enables us to formulate the optimal control problem in terms of the flat output and its successive time derivatives, which are imposed by means of an integrator chain. By taking into account the flatness-based state and input parametrizations constraints on the PDE state and input can be easily integrated into the approach. The method is illustrated for different simulation scenarios involving an observer to estimate the states of the integrator chain from the PDE solution.