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Question

# A Bode magnitude plot for the transfer function G(s) of a plant is shown in the figure. Which one of the following transfer functions best describes the plant?

A
1000(s+10)s+100
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B
10(s+10)s(s+1000)
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C
s+100010s(s+10)
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D
s+100010(s+10)
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Solution

## The correct option is D s+100010(s+10)From initial line equation, dB=20log10K...(1) as we know, 20dB=20log10K i.e.,K=10 Now, form the given plot we know type of system in one. Hence, G(s)=K(1+sT1)(1+sT2) T2=110;T1=11000 =10(1+0.001s)(1+0.1s)=110(1000+s)(s+10)

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