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Control system miscellaneous

  1. The system shown in the figure given below is

    1. stable
    2. unstable
    3. conditionally stable
    4. stable for input u1, but unstable for input u2
Correct Option: D

Transfer function for u1

TF1 =
(s - 1) / (s + 2)
=
(s - 2)
1 +
s - 1
.
1
(s + 3)
s + 2s - 1


TF2(s) =
1
s - 1
1 +
1
.
s - 1
s - 1s + 2

=
1
(s + 3)(s - 1)

Hence unstable, as it has pole at right side of s-plane.



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