GATE 2022 IN – Question 53
A unity-gain feedback system has plant $P(s)=0.001/[s(2s+1)(0.01s+1)]$ and lag compensator $C(s)=(s+10)/(s+0.1)$. The asymptotic Bode magnitude slope of the loop gain at $\omega=3$ rad/s is ______ dB/decade (integer).
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Correct answer: -60 to -60
Explanation
At 3 rad/s the origin pole, compensator pole 0.1 and plant pole 0.5 have each contributed −20 dB/decade. The zero at 10 and pole at 100 have not yet contributed. Total slope is **−60 dB/decade**.