For the system shown in the attached image: i. Find the values of "K1" and "a" to produce a settling time of 4 seconds with a 5% overshoot for the step response input. Using transient specifications, find the desired pole location and use this pole location to find the gain K. ii. Find the value of K to yield a major-loop response with a 10% overshoot for the step input. (The dominant pole position for 10% overshoot is -0.935 + j1.28. You can use the magnitude property of the root locus.)

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For the system shown in the attached image:

i. Find the values of "K1" and "a" to produce a settling time of 4 seconds with a 5% overshoot for the step response input. Using transient specifications, find the desired pole location and use this pole location to find the gain K.


ii. Find the value of K to yield a major-loop response with a 10% overshoot for the step input. (The dominant pole position for 10% overshoot is -0.935 + j1.28. You can use the magnitude property of the root locus.)

R(s)
K
K₁
s(s+ 2)(s + 5)
s + a
C(s)
Transcribed Image Text:R(s) K K₁ s(s+ 2)(s + 5) s + a C(s)
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