The primary control loop of a nuclear power plant includes a time delay due to the need to transport the fluid from the reactor to the measurement point. The transfer function of the controller is

The transfer function of the reactor and time delay is

where T = 0.4 s and T = 0.2 s. Using frequency response methods, design the controller so that the overshoot of the system is P.O. ‰¤ 10%. With this controller in the loop, estimate the percent overshoot and settling time (with a 2% criterion) to a unit step. Determine the actual overshoot and settling time and compare with the estimated values.

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KI Ts 1