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Control system miscellaneous

  1. The unstable system is
    1. G(s) H(s) =
      K
      ; K > 0
      (T1s + 1)(T2s + 1)

    2. G(s) H(s) =
      K(s + 1)
      ; K > 91
      s2(s + 4)(s + 5)

    3. G(s) H(s) =
      K(s + 2)
      ; K > 2
      (s + 1)(s - 3)

    4. G(s) H(s) =
      K
      ; -1 < K < 2
      (Ts + 1)3
Correct Option: B

Characteristic equation is
s4 + 9s3 + 20s2 + Ks + K = 0
Routh table is as shown below.

For stability, 0 < K < 99.



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