-
.G (s) = K s(1 + sT)
This system is operated in closedloop with unity feedback. The closed-loop system is—
-
- stable
- unstable
- marginally stable
- conditionally stable
- stable
Correct Option: D
| Given that G(s) = | and H (s) = 1. | |
| s (1 + sT) |
C.E. 1 + G(s) H(s) = 0
| ⇒ 1 + | .1 = 0 | |
| s (1 + sT) |
⇒ s + s2T + K = 0
⇒ s2T + s + K = 0
R.H.C. of the above C.E.
s2 T K
s1 1
s0 K
for the system to be stable T, K > 0. Therefore, the system is conditionally stable.
Hence alternative (D) is the correct answer.
