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QUESTION: 1

The Bode diagram approach is the most commonly used method for the analysis and synthesis of

Solution:

QUESTION: 2

Nichol's chart is a plot of

Solution:

QUESTION: 3

The initial slope of Bode plot for a transfer function having no poles at origin is

Solution:

With no-pole at origin, initial slope will be OdB/decade.

For n-pole at origin, initial slope will be -20 ndB/decade.

QUESTION: 4

The gain margin of a control system having the loop transfer function G(s)H(s) =

Solution:

QUESTION: 5

Gain crossover frequency is the frequency at which the gain of G(jω) is

Solution:

QUESTION: 6

For a control system having gain margin of -10 dB, the magnitude of GH(s) for 180° phase shift is

Solution:

QUESTION: 7

If the Nyquist plot of the loop transfer function G(s)H(s) of a closed-loop system does not encloses the (-1, j0) point in the G(s)H(s) plane, the gain margin of the system will be

Solution:

Since the critical point (-1 + j0 ) is not enclosed, therefore m agnitude of OLTF, will be less than unity.

Therefore, G.M. = 20 log will be positive and the system will be stable.

QUESTION: 8

A system with phase margin close to zero or gain margin close to unity is

Solution:

QUESTION: 9

If the transfer function of a first-order system in then the time constant of this system will be

Solution:

Hence, time constant = T= 5 seconds

QUESTION: 10

The polar plot of

Solution:

Given system is of type-1 and order-2, therefore its polar plot will be as shown below.

Hence, the polar plot will neither cross the real axis nor the imaginary axis.

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