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# GATE 2021: Control System Rapid Quiz-2 (App update required to attempt this test)

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Question 1

The characteristic equation of a system is

s3 + 3s2 + (K + 2)s + 3K = 0

In the root locus plot for the given system, as K varies from 0 to ∞, the break-away or break-in point(s) lie within

Question 2

For unity negative feedback system having CLTF(closed loop transfer function) given by T(s) = ( s2 + 9s + 16 )/( s4 + s3 – s – 1 ). Number of closed loop poles lying on the jw axis is.

Question 3

Nyuist plot a certain stable system is given below. The acceleration error co-efficient is

Question 4

A certain closed loop system with unity feedback has the forward path transfer function given by

with its gain at ultimate value, the system will oscillate at an angular frequency (in rad/sec) of ______

Question 5

The Bode plot of a system is given. It’s transfer function is

Question 6

Consider the state model as shown below :

The number of closed loop poles that lie on the right half of s-plane is

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