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GATE 2020: Control Systems Rapid Revision Quiz 2 (App update required to attempt this test)

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Question 1

The block diagram of a system is shown below

In order to reduce the effect of noise element:

Question 2

The critical value of gain for the system is 80. The system is operating at a gain of 40. The G.M. (dB) of the system is______?

Question 3

Check for controllability and observability of a system having following coefficient matrices

Question 4

The Bode plot of a Transfer Function G (5) is shown in the figure below.

The gain (20 log|G(s)|) is 32 dB and -8 dB at 1 rad/s and 10 rad/s respectively. The phase is negative for all ω. Then G (s) is

Question 5

An open loop transfer function of a unity feedback system is

If the gain of the system is increased to 16 and the zeros are removed. Then the steady state error for step input is _________.

Question 6

The following equation defines a separately excited dc motor in the form of a differential equation

The above equation may be organized in the state–space form as follows

Where the P matrix is given by
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Dec 10ESE & GATE EE