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Control system miscellaneous

  1. Consider a unity feedback system having an open-loop transfer function
    G(jω) =
    K
    jω (j 0.2 ω + 1)(j 0.05 ω + 1)

    For K = 1, GM = 28 dB. When GM at 20 dB, K will be equal to______
    1. 0.25
    2. 25
    3. 5
    4. 2.5
Correct Option: D

For a GM of 20 db, the Nyquist plot should intersect the real axis at a,

where, 20 log
1
= 20
a

⇒ a = 0.1
This is achieved if the system gain is increased by a factor of
0.1
= 2.5
0.04

Thus K = 2.5



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