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Test: Time Domain Analysis of Control Systems- 2 - Question 1

The system shown in figure below has unit step input.

In order that the steady state error is 0.1, the value of K required should be

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Test: Time Domain Analysis of Control Systems- 2 - Question 2

The steady-state error coefficients for a system are K_{p} = ∞ , K_{v} = finite constant and K_{a} = 0. The type of the system is

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Test: Time Domain Analysis of Control Systems- 2 - Question 3

The steady-state error of a feedback control system with an acceleration input becomes finite in a

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Test: Time Domain Analysis of Control Systems- 2 - Question 4

Consider the unity feedback system shown below:

The settling time of the resulting second order system for 2% tolerance band will be

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Test: Time Domain Analysis of Control Systems- 2 - Question 5

For a control system, the Laplace transform of error signal e(t) is given by . The steady state value of the error will be

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Test: Time Domain Analysis of Control Systems- 2 - Question 6

For a type one system, the steady-state error due to step input is equal to

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Test: Time Domain Analysis of Control Systems- 2 - Question 7

For an unity feedback control system with the value of K for damping ratio of 0.5 is

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Test: Time Domain Analysis of Control Systems- 2 - Question 8

The damping ratio of a system having the characteristic equation s^{2} + 2s + 8 = 0 is

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Test: Time Domain Analysis of Control Systems- 2 - Question 9

The closed-loop transfer function of a unity - feedback system is given by The steady state error to a unit ramp input is:

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Test: Time Domain Analysis of Control Systems- 2 - Question 10

The peak overshoot of step-input response of an underdamped second-order system is an indication of

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Test: Time Domain Analysis of Control Systems- 2 - Question 11

Consider the position control system shown below:

The value of K such that the steady state error is 20° for input θ_{r} = 300t rad/sec, is

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Test: Time Domain Analysis of Control Systems- 2 - Question 12

Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.

Reason (R): Damping ratio of the system decreases with the increase in bandwidth.

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Test: Time Domain Analysis of Control Systems- 2 - Question 13

For the stable system described by the block diagram shown below, Match List - I (Static error coefficients) with List - II (Values) and select the correct answer using the codes given below the lists:

**List-I**

A. K_{a}

B. K_{v}

C. K_{p}

**List-II**

1. ∞

2. 0

3. 2

4. -1

Codes:

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Test: Time Domain Analysis of Control Systems- 2 - Question 14

The unit step response of a system is given by c(t) - 1 + 0.25 e^{-50t }- 1.25 e^{-10t}

The given system is

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Test: Time Domain Analysis of Control Systems- 2 - Question 15

Match List - I (Transfer function of systems) with List - II (Nature of damping) and select the correct answer using the codes given below the lists:

Codes:

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Test: Time Domain Analysis of Control Systems- 2 - Question 16

The block diagram of an electronic pacemaker is given in figure below.

What is the value of K for which the steady-state error to a unit ramp input is 0.02?

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Test: Time Domain Analysis of Control Systems- 2 - Question 17

Which one of the following equations gives the steady-state error for a unity feedback system excited by r(t) = 2 + 5t + 2t^{2} ?

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Test: Time Domain Analysis of Control Systems- 2 - Question 18

An unity feedback control system with closed loon transfer function is given by

The steady state error due a unit ramp input response is

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Test: Time Domain Analysis of Control Systems- 2 - Question 19

The second order approximation using dominant pole concept for the transfer function

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Test: Time Domain Analysis of Control Systems- 2 - Question 20

The unit step response of the system represented by the block diagram shown below is

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