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Control system miscellaneous

  1. The transfer functions of two compensators are
    C1 =
    10(s + 1)
    , C2 =
    s + 10
    (s + 10)10(s + 1)

    Which one of the following statements is correct?
    1. C1 is a lead compensator and C2 is a lag compensator
    2. C1 is a lag compensator and C2 is a lead compensator
    3. Both C1 and C2 are lead compensators
    4. Both C1 and C2 are lag compensators
Correct Option: A

C1 =
10(s + 1)
, C2 =
s + 10
(s + 10)10(s + 1)


Hence C1 is lead compensator and C2 is lag compensator.
Alternately
∠ φ for G = tan-1 ω - tan-1
ω
10

or ∠ φ for G = tan-1
ω
ω - tan-1 ω
10

Hence C1 is lead compensator and C2 is lag compensator.



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