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Instrumentation & Process Control
Controller Modes
GATE 2013
Hard

Consider the transfer function Gp(s)=5/(2s+1)⁴ (the unit of the process time constant is in seconds). The crossover frequency (in rad/s) of the process is

  • A20
  • B0.1
  • 0.5
  • D0.05

Explanation

The phase of Gp(jω) is −4·arctan(2ω). Setting this to −180°: arctan(2ω)=45° ⟹ 2ω=1 ⟹ ω=0.5 rad/s.

Source: GATE CH 2013 (2013)

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