Consider the system shown in Figure 8.21. Design the value of gain, K, to yield 1.52% overshoot. Also estimate the settling time, peak time, and steady-state error. K(s + 1.5) s(s + 1)(s + 10) R(s) E(s) C(s)

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Solve it pls. 

jo
5 = 0.8
j4
-4.6 + j3.45, K = 39.64
13
s-plane
j2
-1.19+ j0.90, K = 12.79
-0.87 + j0.66, K = 7.36
-Ox
-1.5 -i
-10
-9
-8
-7
-6
-5
4
-3
X= Closed-loop pole
X = Open-loop pole
-j2
Transcribed Image Text:jo 5 = 0.8 j4 -4.6 + j3.45, K = 39.64 13 s-plane j2 -1.19+ j0.90, K = 12.79 -0.87 + j0.66, K = 7.36 -Ox -1.5 -i -10 -9 -8 -7 -6 -5 4 -3 X= Closed-loop pole X = Open-loop pole -j2
Example 8.8 Third-Order System Gain Design
PROBLEM:
Consider the system shown in Figure 8.21. Design the value of gain, K, to yield 1.52% overshoot. Also
estimate the settling time, peak time, and steady-state error.
R(s)
E(s)
K(s + 1.5)
C(s)
s(s + 1)(s + 10)
Transcribed Image Text:Example 8.8 Third-Order System Gain Design PROBLEM: Consider the system shown in Figure 8.21. Design the value of gain, K, to yield 1.52% overshoot. Also estimate the settling time, peak time, and steady-state error. R(s) E(s) K(s + 1.5) C(s) s(s + 1)(s + 10)
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