Question: A paper machine has the transfer function G(s)= 3s+1 where the input is stock flow onto the wire and the output is basis weight

A paper machine has the transfer function G(s)= 3s+1 where the input

A paper machine has the transfer function G(s)= 3s+1 where the input is stock flow onto the wire and the output is basis weight or thickness. (a) (b) Find the PID-controller parameters using the Zeigler-Nichols tuning rules. The system becomes marginally stable for a proportional gain of K = 3.044 as shown by the unit impulse response in Figure 1. Find the optimal PID-controller parameters according to the Zeigler-Nichols tuning rules. 0.020 0.015 0.010 0.005 y 0.00 -0.005 -0.010 -0.015 0.0 5.0 10.0 15.0 20.0 25.0 Time (sec) Figure 1

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