Consider the following first-order plus dead-time process: Y(s) U(s) = 2.4e-3s 5s +1 Design a PI controller for disturbance rejection for this process using: 1. The Cohen-Coon correlations 2. The Ciancone correlations 3. The ITAE correlations 4. The Ziegler-Nichols method (this will require a bode plot) The disturbance transfer function for this process is: Y(s) D(s) -3.7 3.5s + 1 5. Simulate this system responding to a step change in D(s) while under closed-loop Pl control via the controllers found via various schemes. Comment on the results. 6. Consider now the situation where there are sensor dynamics and the error sent to the controller block is computed as the difference between the reference signal R(s) and the error: YM(S) Y(s) 0.8 = s+1 E(S) = R(S) - Yм(s) 7. Simulate this system under closed-loop Pl feedback control with this new information. What effect does it have on the controller performance? Which control structure performs best now that new dynamics are introduced, and why?

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Consider the following first-order plus dead-time process:
Y(s)
U(s)
=
2.4e-3s
5s +1
Design a PI controller for disturbance rejection for this process using:
1. The Cohen-Coon correlations
2. The Ciancone correlations
3. The ITAE correlations
4. The Ziegler-Nichols method (this will require a bode plot)
The disturbance transfer function for this process is:
Y(s)
D(s)
-3.7
3.5s + 1
5. Simulate this system responding to a step change in D(s) while under closed-loop Pl
control via the controllers found via various schemes. Comment on the results.
6. Consider now the situation where there are sensor dynamics and the error sent to the
controller block is computed as the difference between the reference signal R(s) and the
error:
YM(S)
Y(s)
0.8
=
s+1
E(S) = R(S) - Yм(s)
7. Simulate this system under closed-loop Pl feedback control with this new information.
What effect does it have on the controller performance? Which control structure performs
best now that new dynamics are introduced, and why?
Transcribed Image Text:Consider the following first-order plus dead-time process: Y(s) U(s) = 2.4e-3s 5s +1 Design a PI controller for disturbance rejection for this process using: 1. The Cohen-Coon correlations 2. The Ciancone correlations 3. The ITAE correlations 4. The Ziegler-Nichols method (this will require a bode plot) The disturbance transfer function for this process is: Y(s) D(s) -3.7 3.5s + 1 5. Simulate this system responding to a step change in D(s) while under closed-loop Pl control via the controllers found via various schemes. Comment on the results. 6. Consider now the situation where there are sensor dynamics and the error sent to the controller block is computed as the difference between the reference signal R(s) and the error: YM(S) Y(s) 0.8 = s+1 E(S) = R(S) - Yм(s) 7. Simulate this system under closed-loop Pl feedback control with this new information. What effect does it have on the controller performance? Which control structure performs best now that new dynamics are introduced, and why?
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