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GATE : Control Systems Champion Quiz 4

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Question 1

Consider the Bode plot shown in the figure. Assume that all the poles and zeros are real-valued.
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-3_files\image060.jpg$
The value of f_H – f_L (in H’z) is____________.

Question 2

The phase margin in degrees of

calculated using the asymptotic Bode plot is ________.

Question 3

The root locus of a unity feedback system is shown in the figure

The closed-loop transfer function of the unity positive feedback system is

Question 4

The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by

Question 5

Given that G(s)H(z) = $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image070.png$ , the point of intersection of the asymptotes of the root loci with the real axis is

Question 6

A closed loop system has the characteristic function

. Its root locus plot against K is

Question 7

An unity feedback system is given as
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2005_files\image154.png$
Indicate the correct root locus diagram

Question 8

A unity Feedback control system has an open-loop transfer function

.
The gain K for which s = -1 + j1 will lie on the root locus of this system is:

Question 9

For the polynomial P(s) = s⁵ + s⁴ + 2s³ + 2s² + 3s + 15, the number of roots which lie in the right half of the s-plane is

Question 10

The open loop poles of a third order unity feedback system are at 0, -1, -2. Let the frequency corresponding to the point where the root locus of the system transits to unstable region be K. Now suppose we introduce a zero in the open loop transfer function at - 3, while keeping all the earlier open loop poles intact. Which one of the following is TRUE about the point where the root locus of the modified system transits to unstable region?

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ESE & GATE EC Control Systems

Feb 27ESE & GATE EC