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The performance specifications for a unity feedback control system having an open-loop transfer function
G(s) = K are s(s + 1)(s + 2)
(i) Velocity error coefficient KV > 10 sec–1
(ii) Stable closed-loop operation. The value of K, satisfying the above specifications, is—
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- K > 6
- 6 < K < 10
- K > 10
- K > 20
- K > 6
Correct Option: D
Since,
KV = s → 0Lim sG(s)
or
| KV = s → 0Lim | = | ||
| s(s + 1)(s + 2) | 2 |
but given
KV > 10
then
K > 20
