Questions based on Frequency Domain Analysis (from the notes given to students on 25.03.2020)

      Assignment : 2
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1. The response of a control system is  c(t) =   exp(-3t) sin(2t) ,  when subject to a impulse input. Obtain the expression for closed loop transfer function.
2. Derive the expression for  the correlation between time and frequency domain specifications for a second order system.
3.  Find frequency domain specifications for a  system having  C(s)/R(s)= 81/ [(s^2+18s+81)]
4. Define the following terms : (i)  Resonance frequency,  (ii) Bandwidth,  (iii) Cut off rate, (iv) Phase margin and (v) gain margin.
5. What are the frequency domain specifications?
6. Determine the resonant frequency, resonance peak and bandwidth for the system whose transfer function is   C(s)/R(s)= 5/ [(s^2+2s+5)]
7.  Write at least three advantages and disadvantages of  using frequency domain analysis. 

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Students are required to complete this assignment in this week. if any query /doubts anyone  can call me any time.
with best wishes
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