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Stochastic closed-loop model predictive control of continuous nonlinear chemical processes
Authors:Dennis Van Hessem  Okko Bosgra
Affiliation:Delft Center for Systems and Control, Mekelweg 2, 2628 CD Delft, The Netherlands
Abstract:A new predictive control framework for chemical processes is presented, that has a number of fundamental differences to classical MPC. Both future disturbances and future process measurements are explicitly introduced in the model prediction, while back-off prevents violation of the inequality constraints. A feedforward trajectory, used for constraint pushing, is optimized simultaneously with a linear time-varying feedback controller, used to minimize the back-off. No feedback is generated by the receding horizon implementation itself. Via several transformations, the resulting optimization problem is rendered convex. For nonlinear processes, this applies to the sub-problem in a sequential conic optimization approach. A two stage LQG approach reduces the complexity even further for large scale systems. The method is illustrated on a HDPE reactor example and compared to a LTV-MPC.
Keywords:Model predictive control  Nonlinear systems  Optimization  Polymerization
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