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Steady state error questions for GATE ECE

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1) The transfer system of the system which will have more steady error for unit step input is
a) 80/(s+1)(s+2)(s+3)
b)120/s(s+1)(s+15)
c) 60/(s+0.5) (s+3)(s+5.5)
d)120/(s+1)(s+4)(s+15)

2)A unity feedback system has forward path transfer function G(s)=K/s(s+2). If the design specification is that the steady state error due to ramp input is 0.05,the value of K allowed is
a)20
b)40
c)10
d)80

3) When the gain  of the system is increased, the steady state error of the system
a)Increases
b) Decreases
c) Remains unchanged
d) May Increase or decrease

4) A unity feedback system has open loop transfer function G(s). The steady state error is zero for

a) Step input and type-1 G(s)                      b) Ramp input and type 1 G(s)

c) Step input and type -0 G(s)                     d) Ramp input and type 0 G(s)

 

5) A dc motor model G(s)= \frac{1}{s(s+1)} is to obtain a steady state error of less than 0.1 for a unit ramp input. The above design specification can be achieved by a feed forward lead compensator whose steady state gain must be greater than

a) 100            b) 10       c) 1        d) 0.1

 

6) A unity feedback closed loop second order system has a transfer function  \frac{81}{s^2+0.6s+9} and is excited by step input of 1 unit. The steady state error of the output is

a) 10       b) 0         c ) 1         d) 0.1

……………………..

1-d , 2-b, 3-b,4-a,5-b,6-d

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