Consider a lead compensator of the form $K(s) = \frac{1 + \frac{s}{a}}{1 + \frac{s}{\beta a}}, \beta > 1, a > 0$ The frequency at which this compensator produces maximum phase lead is 4 rad/s. At this frequency, the gain amplification provided by the controller, assuming asymptotic Bode-magnitude plot of K(s), is 6 dB. The values of $a, \beta$, respectively, are

GATE 2023 Electrical Engineering Q38 — Electrical Engineering

GATE 2023Set MasterQ38MCQanswer pendingexplanation soonhard

Electrical Engineering · Control Systems - Compensators

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Recurring concept

Control Systems - Compensators has appeared in GATE Electrical Engineering 3 times across 3 years (2018, 2019, 2023).

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lead compensatorcontrol systemsBode plotphase leadgain amplification