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A control system whose step response is
– 0.5 (1 + e– 2t)
is cascaded to another control block whose impulse response is e – t. The transfer function of the cascaded combination is
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1 (s + 1)(s + 2) -
1 s(s + 2) -
1 (s + 2) -
0.5 (s + 1)(s + 2)
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Correct Option: C
| C1(s) = 0.5 |  | + |  | = | |||||
| s | s + 2 | s(s + 2) |
| ∴ G1 (s) = | = | = | |||||
| s(s + 2) | |||||||
| R(s) | (s + 2) | ||||||
| s | |||||||
| H2(s) = | ||
| s + 1 |
| ∴ H(s) = H1(s) H2(s) = | ||
| s + 2 |
