Two-degrees-of-freedom optimization-based control and estimation of a parabolic equation system

This contribution is concerned with estimation, feedforward and feedback control of systems of semilinear parabolic PDEs. Estimation and control are organized in a socalled two-degrees-of-freedom control scheme and are based on optimization methods applied to finite difference semi-discretizations of the parabolic equation system. Simulation results show good results in terms of performance and robustness for setpoint transitions in various scenarios.