Project ForgeInstrumentation & Process Control
Controller Modes
GATE 2010
Hard
The transfer function G(s), whose asymptotic Bode magnitude diagram is flat at |G(s)|=10 for frequencies below 10 rad/s and rises with a slope of +1 (in log-log terms) above the corner frequency of 10 rad/s, is
- A10s+1
- Bs−10
- s+10
- D10s−1
Explanation
For G(s)=s+10: at low ω (≪10), |G|≈10 (flat, matching the graph); at high ω (≫10), |G|≈ω (rising with slope +1), with the corner exactly at ω=10 rad/s where the two asymptotes cross — an exact match to the given diagram.
Source: GATE CH 2010 (2010)
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