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a. Write down the transfer function for a time delay and then evaluate its corresponding frequency response as a magnitude and phase shift.

b. A unity negative feedback control system that can be modelled as a pure time delay in series with an integrator is controlled using proportional control. After a small change in setpoint is made a sustained oscillation occurs which has a period of 120 seconds. Determine:

i. The value of the controller gain

ii. The magnitude of the processor dead time.

Thanks again in advance