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GATE 2019: Live Practice Quiz Control Systems (App update required to attempt this test)

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Question 1

A lead compensator network includes a parallel combination of R and C in the feed-forward path. If the transfer function of the compensator is $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image253.png$ , the value of RC is _________.

Question 2

A unity feedback control system requires 0.52 seconds to reach its peak value while subjected to the step input. If the settling time of the response for 2% tolerance band is 1.05 seconds. The resonant frequency of the system will be _______ rad/sec.

Question 3

The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as

and H(s)=1
Respectively, If the variable parameter K is real positive, then the location of the breakaway point on the root locus diagram of the system is_____.

Question 4

Signal flow graph of a system is shown below:

Find the state transition matrix of the system.
[

are the states of the system, ‘u’ is the input function and ‘y’ is the system output]

Question 5

A unity-feedback servo-driven instrument has an open loop transfer function given as

. It is given that the peak overshoot of the system on step input is

. Find the steady state error to an input

Question 6

The Nyquist plot over frequency range w = 0 to w = ∞ is shown in the figure for which zero open loop pole lies in right half of S-plane the closed system is unstable with

Question 7

The open loop transfer function of unity feedback control system is given by

Determine value of K such that PM = 30^o and also calculate GM for

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