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Quiz: Time Domain Analysis-LCS

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Number of Questions: 20

Question: 1 -

A causal system having the transfer function H(s) = 1/(s+2) is excited with 10u (t) . The time at which the
output reaches 99% of its steady state value is

 

Options:

  1. 2.5 sec

  2. 2.3 sec

  3. 2.1 sec

  4. 2.7sec

    5. Answer:

    2.3 sec
    Solution:

    r (t) = 10u (t) 

    R(s) = 10/s

    C(s) = H(s)*R(s)

Question: 2 -

The transfer function of system is

G(s) = 100/(s+1)(s+100)

For a unitstep input to the system the approximate settling time for 2% criterion is

Options:

  1. 1 sec

  2. 100 sec

  3. 0.01 sec

  4. 4 sec

    5. Answer:

    4 sec
    Solution not available.

Question: 3 -

Considers a system with the transfer function( )= (s+6)/(Ks2+s+6), its damping ratio will be 0.5 when the
value of K is

Options:

  1. 6

  2. 1/6

  3. 2

  4. 1/3

    5. Answer:

    1/6
    Solution:

    Comparing with s2  + 2ξω +ω2 

Question: 4 -

If the characteristic equation of a closed –loop system is s2 + 2s + 2 = 0, then the system is

Options:

  1. undamped

  2. critically damped

  3. underdamped

  4. overdamped

    5. Answer:

    underdamped
    Solution:

    Use:
    s2 + 2ξωn + ωn2 = 0

Question: 5 -

In the derivation of expression for peak percent overshoot,

Mp = exp{−πζ/√1-ζ2}*100

Which one of the following conditions is NOT required?

 

Options:

  1. The system has zero initial conditions

  2. The system transfer function has a pair of complex conjugate poles and no zeros

  3. System is linear and time invariant

  4. There is no transportation delay in the system

    5. Answer:

    There is no transportation delay in the system
    Solution not available.