Application of model predictive control

Abstract

Model Predictive Control (MPC) is an advanced control technology and appeared in industry as an effective control to deal with multivariable constrained control problems. MPC is the class of control algorithm that uses directly an explicit and separately identifiable model. In this project, the multi-zone bake plate from post-exposure bake step in lithography is used as an application of model predictive control to show the work of MPC controller and the ser point tracking performance of MOC controller. In this study, the MPC controller is designed and implemented on the three-zone bake plate. Based on the heat transfer theory and energy balance equations, a model for the three-zone bake plate is derived and parameter estimation of three-zone bake plate is carried out to obtain the accurate and realistic model of the three-zone bake plate system. Them MPC controller is designed using the constraint MPC optimization criterion and the simulation scenarios of Constraint MPC are described to study the work of MPC controller. Then, the implementation of Constraint MPC on the three-zone bake plate is done and proposed to verify the working of MPC controller experimentally. The proposed constraint MPC is successfully applied to the multivariable system, the three-zone bake plate and the optimal solution is resulted in while the system is processing with the presence of the input power constraint.