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Control system miscellaneous

  1. The frequency response of a linear system G(jω) is provided in the tabular form below
    | G(jω)| 1.3 1.2 1.0 0.8 0.5 0.3
    ∠ G(jω)– 130° – 140° – 150° – 160° – 180° – 200°

    The gain margin and phase margin of the system are
    1. 6 dB and 30°
    2. 6 dB and – 30°
    3. – 6 dB and 30°
    4. – 6 dB and – 30°
Correct Option: A

At ∠ G(jω) = – 180, magnitude M = 0.5

∴ G.M = 20 log
1
= 6 dB
0.5

At | G(jω) | = 1, phase angle ∠ G(jω) = – 150
∴ P.M = 180 + (– 150) = 30°



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