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Question: The process in Figure is a simplified head box for a paper-making process. The control objectives are to control the pressure at the bottom of the head box tightly and to control the slurry level within a range.

(a) Derive a model for the effects of the two inlet flows on the controlled variables.

(b) Design a control system by pairing the controlled and manipulated variables. Discuss the performance of your design and any special features that should be included in the implementation.

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