Project ForgeInstrumentation & Process Control
Controller Modes
GATE 2017
Medium
The transfer function of a system is 1/(4s²+1.2s+1). For a unit step increase in input, the fractional overshoot, rounded to 2 decimal places, is
0.37(± 0.02 accepted)
Explanation
τ²=4⟹τ=2, 2ζτ=1.2⟹ζ=0.3. Overshoot=exp(−πζ/√(1−ζ²))=exp(−0.943/0.954)=exp(−0.988)=0.372.
Source: GATE CH 2017 (2017)
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