Process Control: Modeling, Design, and Simulation

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 ...