R(s) +C(s)G(s)FIGURE P11.14. The system of Figure P11.1 is operating with 10% overshoot whenKG(s) =8 (s + 5)Design a compensator using frequency response techniques to yield K, = 50 without significantly changing the uncompensated system's phase-marginfrequency and phase margin. [Section: 11,3]

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Asked Dec 6, 2019
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R(s) +
C(s)
G(s)
FIGURE P11.1
4. The system of Figure P11.1 is operating with 10% overshoot when
K
G(s) =
8 (s + 5)
Design a compensator using frequency response techniques to yield K, = 50 without significantly changing the uncompensated system's phase-margin
frequency and phase margin. [Section: 11,3]
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R(s) + C(s) G(s) FIGURE P11.1 4. The system of Figure P11.1 is operating with 10% overshoot when K G(s) = 8 (s + 5) Design a compensator using frequency response techniques to yield K, = 50 without significantly changing the uncompensated system's phase-margin frequency and phase margin. [Section: 11,3]

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Step 1

Here,

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Given , the system har nnity feudback 40 8(st5) 4(8) I+46) C.LTF 8*+5s+K Chaeactexistic tg %3D

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Step 2

Thus, we have

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(2 = 0.1 (Given) - 2.303. %3D Now, we knsɔ, MP- e I- * = 0-59 (atiun, soling taking the positne value) . frem eg O , weget (24) - 17. 884 %3D .. Ane opon Loop toomsfer funchom of (1H.84) the system is Alsts)

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Step 3

Now let us de...

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det ur use a lead compensatore , (1+$1x) (1+sp) %3D fre :. O.L7.F= 4G) Ky = So Cejiven) > Lim a4.G = S0 %3D 870 ;)- Ke 17-884 Lim 7/15). (1+ p) 14.884 Ke - 18.48. (1+%) (1+/p), 4 = 13.98

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