Use table in image to find the values of the delay time, time constant, transfer function for P, Pi, and PID controller?

bzne211
timer Asked: Oct 20th, 2018

Question Description

1- Use the table in the image below to find the values of the delay time and time constant?

2- Use the same table to find the transfer function for a P, Pi, and PID controller?

The Ziegler-Nichols open-loop tuning method allows you to use the delay time L and the time constant to calculate the gain, integral time and derivative time. The remaining of the question is in the image below.

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The Ziegler-Nichols open-loop tuning method allows you to use the delay time L and the time constant to calculate the gain, integral time and derivative time. COA Tangent line at inflection point к Plant ct Based on this method, we have the following transfer function of a Pl controller: G(s) = 100 (1+35) 1) Use the table below to find the values of the delay time and time constant. Table 10-1 Ziegler-Nichols Tuning Rule Based on Step Response of Plant (First Method) Type of Controller I Кр T: P o T L T 0.9 L T PI L 0.3 0 PID 2L 0.5L 2. Use the same table to find the transfer function for a P, Pi and PID controller: G pm (s ) = U (5) = K E(S) 1,(1 + i +7,5)
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