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The document outlines an assignment on Industrial Process Control and Automation due on April 23, 2025, which involves analyzing the frequency response of a given transfer function using MATLAB. It includes tasks to compare performance metrics of open loop and various closed loop systems (P, I, D, PID) with specified parameters, and to derive the characteristic equation for a control system. Additionally, it requires determining the stability of the system for different values of Kc and finding the maximum stable Kc for a proportional controller, as well as analyzing a PD controller's stability range.

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19 views1 page

Assignments

The document outlines an assignment on Industrial Process Control and Automation due on April 23, 2025, which involves analyzing the frequency response of a given transfer function using MATLAB. It includes tasks to compare performance metrics of open loop and various closed loop systems (P, I, D, PID) with specified parameters, and to derive the characteristic equation for a control system. Additionally, it requires determining the stability of the system for different values of Kc and finding the maximum stable Kc for a proportional controller, as well as analyzing a PD controller's stability range.

Uploaded by

Haronicle
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Industrial Process Control and Automation

Teshome Hambissa
April 6, 2025

Assignment : due date April 23, 2025


1. Draw the unit step frequency response for the following transfer functions on MATLAB.
1
T(s) = (s2 +10s+20)

1. Compare the rise time, settling time, steady state error, and overshoot for the open loop system
and for the P closed loop system (Kc = 10, 20, 30).

2. Compare the rise time, settling time, steady state error, and overshoot for the open loop system
and for the I closed loop system (TI = 100, 150, 200).
3. Compare the rise time, settling time, steady state error, and overshoot for the open loop system
and for the D closed loop system (Kd = 10).
4. Compare the rise time, settling time, steady state error, and overshoot for the open loop system
and for the PID closed loop system, when:
(a) Kc = 200, Ki = 100 and Kd = 0
(b) Kc = 200, Ki = 200 and Kd = 10
(c) Kc = 100, Ki = 150 and Kd = 200

2. Derive the characteristic equation for a control system with the following transfer
0.5 6
functions: Gc = Kc , Gv Gp = (s+1)(0.5s+1) , Gm = s+1 . Is the system stable for:

1. Kc = 9

2. Kc = 11
3. Kc = 13
Check your answers using MATLAB simulation and by direct substitution (To be Submitted).

0.5
3. Suppose a control system is modeled by Gv Gp = (s+1) 3, Gm = 4, Gc = Kc . Find the
maximum value of Kc for a proportional controller for which the system is stable, using direct substitu-
tion, and verify your result using MATLAB simulation. Replace the controller with a PD controller (Kc
= 10). Determine the range of τD for which the system is stable. Check your results using MATLAB
simulation.

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