Frequency constrained predictive control for large scaled spatially distributed systems

In this work, a frequency constrained predictive control method is proposed for large scaled spatially distributed systems. A spatial–temporal frequency analysis is first performed to explicitly address the preference of the actuator profile in spatial frequency domain. To achieve the desired actuator profile, the piecewise- and pointwise-spatial frequency (magnitude) constraints are developed, based on which a novel model predictive controller that is able to guarantee the pre-specified requirements on the actuator frequency response is formulated. It is further shown that the proposed frequency constrained model predictive control method can be solved by standard optimization methods. Lastly, a process from the sheet and film industry has been employed to test the effectiveness of the developed method.