Part B: Effect of K on closed-loop Control Response Plant C(s) Controller R(s) 1 K S² +55 +1 Figure 2 1. Determine the closed-loop transfer function for the system of Figure 2. 2. Use MATLAB to derive the unit step response for the system of Figure 2 for values of K-1, 2, 15 and 30. Obtain all the plots on one graph. Ensure that the graph has a suitable title, axis label and a legend Evaluate the settling time, rise time, peak time, steady-state error and percentage overshoot for each value of K

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Part B: Effect of K on closed-loop Control Response
Plant
C(s)
Controller
R(s)
1
K
S² +55 +1
Figure 2
1. Determine the closed-loop transfer function for the system of Figure 2.
2. Use MATLAB to derive the unit step response for the system of Figure 2 for values
of K=1, 2, 15 and 30. Obtain all the plots on one graph. Ensure that the graph has a
suitable title, axis label and a legend Evaluate the settling time, rise time, peak time,
steady-state error and percentage overshoot for each value of K
3. Save the plot to include in your report.
whats the effect of the value of Kon the system in terms of Percentage overshoot, peak time,
settling time, rise time and steady-state error.
Use theory to determine the settling time and steady-state error for K = 15 and compare
this result with that obtained from the simulation
Transcribed Image Text:Part B: Effect of K on closed-loop Control Response Plant C(s) Controller R(s) 1 K S² +55 +1 Figure 2 1. Determine the closed-loop transfer function for the system of Figure 2. 2. Use MATLAB to derive the unit step response for the system of Figure 2 for values of K=1, 2, 15 and 30. Obtain all the plots on one graph. Ensure that the graph has a suitable title, axis label and a legend Evaluate the settling time, rise time, peak time, steady-state error and percentage overshoot for each value of K 3. Save the plot to include in your report. whats the effect of the value of Kon the system in terms of Percentage overshoot, peak time, settling time, rise time and steady-state error. Use theory to determine the settling time and steady-state error for K = 15 and compare this result with that obtained from the simulation
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