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Control system miscellaneous

  1. The open-loop transfer function of a unity feedback control system is
    G(s) =
    1
    (s + 2)2

    The closed loop transfer function will have poles at
    1. – 2, – 2
    2. – 2, – 1
    3. – 2, ± j
    4. – 2, 2
Correct Option: C

G(s) =
1
(s + 2)2

M(s) =
G (s)
; H (s) = 1
1 + G (s) H (s)

∴ M(s) =
G(s)
=
1 /(s + 2)2
1 + G(s)1 + 1 /(s + 2)2

=
1
(s + 2)2 + 1

The poles are at – 2, ± j1.



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