Student Exercises—Cascade Control

1:Derive the closed-loop transfer function relating the primary setpoint to the primary process output for a cascade-control system.
2:Derive the closed-loop transfer function relating a secondary disturbance to the primary output for a cascade-control system.
3:For the following process, develop the double cascade-control loop diagram, where the jacket flow controller is a “tertiary controller.” Use the state space form similar to Figure 10-6, where jacket flow rate is an input to the state space representation of the reactor.

4:Consider the following instrumentation diagram for a chemical reactor. Csp represents ...

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