SEE344: Assignment 2 Problems T2, 2019

SEE344: Assignment 2 Problems T2, 2019

Question 1: A system with unity feedback is shown in figure (1),

+

Σ

R(s)

where G(s)=3/s(s+5).

  1. (a)  Determine the closed-loop transfer function of the systems. (5 marks).
  2. (b)  Derive the output (i.e., y(t) ) of the system when the input is a unit step input, R(s) = 1 . (5 marks) s
  3. (c)  The open-loop transfer function is now replaced by G(s) = 5 . Carefully explain in terms of thes(s+3)percentage overshoot, damping ratio and steady state value, how you would expect the response of the output of the system when the input is a unit step input. Use MATLAB to plot the response of the output to a unit-step input. Include in all the MATLAB codes in your answers (10 marks)

Q2 (10 marks): A second-order system has the closed-loop transfer function T(s)=Y(s)/R(s). The system specifications for a unit step input is as follows:

Q3 (15 marks):

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G(s)-

Figure (1)

Y(s)

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