-
G (s) = 1 – s s(s + 2)
The system with this transfer function is operated in closed-loop with unity feedback. The closedloop system is—
-
- stable
- unstable
- marginally stable
- conditionally stable
- stable
Correct Option: A
| Given, G(s) = | and H(s) = 1 | |
| s(s + 2) |
C.E. ⇒ 1 + G (s) H (s)=0
| ⇒ 1 + | .1 = 0 | |
| s(s + 2) |
⇒ s2 + 2s + 1 – s = 0
⇒ s2 + 2s + 1 – s = 0
⇒ s2 + s + 1 = 0
R.H.C. for C.E. = s2 + s + 1 = 0
s2 1 1
s1 1 0
s0 1
All the elements in the first column are positive.
Hence the closed loop system will be stable system.
