Practice Questions on Control Systems

Q1.

What is the rise time of a second order control system when subjected to a unit step input, the values of $ \zeta=0.5 $ and $ \omega_n=6 $ rad/sec?

A.

0.702 sec

B.

0.665 sec

C.

0.403 sec

D.

0.302 sec

 View Ans

Q2.

The open loop transfer function of a unity feedback system is
\[G(s)=\dfrac{10}{s^2+2s+10}\]
The output of the system if the input is a unit step is:

A.

$ 0.24-0.24e^{-10t}+0.24e^{-20t} $

B.

$ 0.12-0.12e^{-10t}+0.12e^{-20t} $

C.

$ 0.24-0.24e^{10t}+0.12e^{20t} $

D.

$ 0.12-0.24e^{-10t}+0.12e^{-20t} $

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Q3.

A second order system has a transfer function given by 

\(\text G(s)=\dfrac{16}{s^2+4s+16}\)

If the system initially at rest is subjected to a unit step input at $ t=0 $, the second peak in the response will occur at:

A.

\( \pi/3 \) sec

B.

\(\dfrac{2\sqrt{3}\pi}{5}\) sec

C.

\(\pi/2\) sec

D.

\(2\sqrt{3}\pi\) sec

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Q4.

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

\(G(s)=\dfrac{500}{(s+10)(s^2+3s+10)}\)

the input given is $ 30u(t) $, the steady state error is:

A.

12

B.

8

C.

8

D.

5

 View Ans

Q5.

Given, 

\(G(s)H(s)=\dfrac{100}{s(s+1)(s+2)}\)

What is the point of intersection of the asymptotes of the root loci with the real axis?

A.

-2.5

B.

-1.6

C.

-1.0

D.

1.0

E.

 

 

F.

 View Ans


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