Control systems miscellaneous
- The system having the Bode magnitude plot shown in figure has the transfer function—
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From the given Bode-plot H(s) has a pole at ω = 0 and ω = 0·05
and zero at ω = 0·1.
Hence H(s) can be given asH(s) = K(s + 0·1) s(s + 0·05)
By plot,
20 log10 |H(j0·01)| = 60
or
|H(j0·01)| = 103 = 1000.
or∣ 2K(0·1 + j0·01) ∣ = 1000 j0·01(0·05 + j0·01)
orK × 0·1 = 1000 0·01 × 0·05
orK = 1000 × 0·01 × 0·05 = 5 0·1
Therefore,H(s) = 5(s + 0·1) s(s + 0·05)
Hence alternative (D) is the correct choice.Correct Option: D
From the given Bode-plot H(s) has a pole at ω = 0 and ω = 0·05
and zero at ω = 0·1.
Hence H(s) can be given asH(s) = K(s + 0·1) s(s + 0·05)
By plot,
20 log10 |H(j0·01)| = 60
or
|H(j0·01)| = 103 = 1000.
or∣ 2K(0·1 + j0·01) ∣ = 1000 j0·01(0·05 + j0·01)
orK × 0·1 = 1000 0·01 × 0·05
orK = 1000 × 0·01 × 0·05 = 5 0·1
Therefore,H(s) = 5(s + 0·1) s(s + 0·05)
Hence alternative (D) is the correct choice.