GATE CH 2022 Paper 1 — page 20

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

In the block diagram shown in the figure, the transfer function

with

and

. The maximum value of

below which the system remains stable is __________ (rounded off to two decimal places).

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Consider the tank level control system shown in the figure, where the cross-section area of the tank is

. Assume perfect flow controllers (FC). The level controller (LC) is proportional-integral (PI). For an integral time,

, the level controller gain,

, is tuned for critical damping. The value of

is ______ (rounded off to the nearest integer).

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Consider a single-input-single-output (SISO) system with the transfer function

where the time constants are in minutes. The system is forced by a unit step input at time

. The time at which the output response reaches the maximum is __________ minutes (rounded off to two decimal places).

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2022 · Paper 1