Low order modeling and optimal control design of a heated plate

A CFD (computational fluid dynamics model) of a heated two-dimensional plate is presented. The model is finely discretised and the resulted order, which accounts to more than 1,000 states is too high for control and optimization design. A model reduction strategy is applied to the model, which allows significant reduction of the original order as well as control and optimization designs. The plant successfully follows the desired trajectory when controlled by an optimal controller based on the reduced order model.