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QUESTION: 1

The open-loop transfer function of a ufb control system is

The position, velocity and acceleration error constants are respectively

Solution:

QUESTION: 2

The open-loop transfer function of a unit feedback system is

The position, velocity and acceleration errorconstants are respectively

Solution:

QUESTION: 3

If a type 0 system is subjected to step input, what is its effect on steady state error?

Solution:

QUESTION: 4

The forward-path transfer function of a unity feedback system is

The system has 10% overshoot and velocity error constant K_{v} =100.

The value of a is

Solution:

QUESTION: 5

For the system shown in fig.the steady state error component due to unit step disturbance is 0.000012 and steady state error component due to unit ramp input is 0.003. The values of K_{1} and K_{2} are respectively

Solution:

If R (s) = 0

Error in output due to disturbance

Error due to ramp input

QUESTION: 6

The transfer function for a single loop nonunity feedback control system is

The steady state error due to unit step input is

Solution:

E(s) = R(s) - C(s) H(s)

QUESTION: 7

For the system of fig. the total steady state error due to a unit step input and a unit step disturbance is

Solution:

where and

QUESTION: 8

The forward path transfer function of a ufb system is

If a unit ramp is applied, the minimum possiblesteady-state error is

Solution:

Using Routh-Hurwitz Criterion, system is stable for 0 < K < 2000

QUESTION: 9

The forward-path transfer function of a ufb system is

The system has r(t) = t^{3} applied to its input. Thesteady state error is

Solution:

QUESTION: 10

Consider a unity feedback system with forward transfer function given by

The steady-state error in the output of the system for a unit-step input is _________ (up to 2 decimal places).

Solution:

QUESTION: 11

A system has position error constant K_{p }= 3. The steady state error for input of 8tu(t) is

Solution:

System is zero type

QUESTION: 12

The forward path transfer function of a unity feedback system is

For input of 60u(t) steady state error is

Solution:

QUESTION: 13

For ufb system shown in fig. the transfer function is

If input is 30t^{2} , then steady state error is

Solution:

QUESTION: 14

The forward-path transfer function of a ufb control system is

The steady state errors for the test input 37tu(t) is

Solution:

QUESTION: 15

In the system shown in fig. r(t) = 1 + 2t , t > 0. The steady state error e(t) is equal to

Solution:

The system is type 2. Thus to step and ramp input error will be zero.

QUESTION: 16

A ufb control system has a forward path transfer function

If the system is subjected to an input r(t) = 1 + t + 1/2 t^{2} , t > 0the steady state error of the system will be

Solution:

**Correct Answer :- C**

**Explanation :** R(s) = (1/s)+(1/s^{2}) + (1/s^{3})

E(s) = R(s) / {1 + G(s)} = 1/10s

ess = lim sE(s) = 0.1

QUESTION: 17

The system shown in fig. has steady-state error 0.1 to unit step input. The value of K is

Solution:

QUESTION: 18

Block diagram of a position control system is shown in fig.

If K_{t} = 0 and K_{a}= 5, then the steady state error tounit ramp input is

Solution:

QUESTION: 19

Block diagram of a position control system is shown in fig.

If the damping ratio of the system is increased to 0.7 without affecting the steady state error, then thevalue of K_{a }and K_{t} are

Solution:

The equivalent open-loop transfer function

QUESTION: 20

A system has the following transfer function

The type and order of the system are respectively

Solution:

The s has power of 4 and denominator has order of 7. So Type 4 and Order 7.

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