-
Given : KKt = 99; s = j1 rad/s
The sensitivity of the closed-loop system (shown in the figure) to variation in parameter K is approximately
-
- 0.01
- 0.1
- 1.0
- 10
Correct Option: B
Given : KKt = 99; s = j1 rad/sec.
| SKM = | ||||
| M | = | |||
| 1 + | M | dK | ||
| K | ||||
| Now M = | = | = | |||||
| (10s + 1) | |||||||
| 1 + GH | 1 + | 10s + 1 + KKt | |||||
| (10s + 1) | |||||||
| ∴ | = | |||
| dK | (10s + 1 + KKt)2 |
| = | ||
| (10s + 1 + KKt)2 |
| ⇒ | = | ||||||
| M | dK | ||||||
| (10s + 1 + KKt) | |||||||
| = | ||
| (10s + 1 + KKt)2 |
| = | ||
| (10s + 1 + KKt) |
| = | ||
| 10(10 + s) |
| With s = j1, | = | = 0.1 | |||
| M | dK | 10 √100 + 1 |
