2.1) To develop a novel off-line tube-based robust MPC algorithm that can guarantee robust stability and constraint satisfaction of the control systems in the presence of both uncertain parameters and disturbances. Additionally, all of the optimization problems are solved off-line so the developed off-line tube-based robust MPC algorithm is applicable to fast dynamic processes.
2.2) To apply the developed off-line tube-based robust MPC algorithm to a challenging control problem of uncertain polypropylene polymerization process where the reaction rate constants are uncertain and the polymerization reactions taking place are fast and highly exothermic.
2.3) To apply the developed off-line tube-based robust MPC algorithm to a partially simulated exothermic pilot plant reactor where the reaction heat of various uncertain polymerization reactions can be generated. Therefore, the effects of uncertainties and disturbances in polymerization processes can be investigated and controlled under realistic situations.