Influence of feed forward variables on feasible region of model predictive control

The model predictive control is widely used in real process because of its decoupling and strong robustness. In the past studies, the effects of disturbances on model predictive control were mostly ignored. For the measurable disturbances whose dynamic rules are known, the influence of measurable disturbances on controlled variables can be predicted, and thus the measurable disturbances can be used as feed forward variables in model predictive control. The introduction of feed forward variables will affect the control performance of the system. The result solving directly under no analysis cannot reflect the actual effect of model predictive control. From the viewpoint of feasible region, this paper studies the feasible region changes caused by feed forward variables through the geometric forms. The convex space method is used to determine the size of the feasible region by solving the feasible region of the vertex set and obtain the effects of feed forward variables on the feasible region. The simulations verify the validity of the method in this paper.