PROBLEM 7.1: Consider the following transfer function H(s) = w²/12 s² + 25wns + w²/211 Where wn = 100 and <=1/√2 (a) Han

[answerhappygod]

Problem 7 1 Consider The Following Transfer Function H S W 12 S 25wns W 211 Where Wn 100 And 1 2 A Han 1 (118.88 KiB) Viewed 39 times

PROBLEM 7.1: Consider the following transfer function H(s) = w²/12 s² + 25wns + w²/211 Where wn = 100 and <=1/√2 (a) Hand Sketch the bode plot for amplitude and phase (b) Find the poles/zeros of the transfer function (c) Hand Sketch the pole/zero diagram (d) Find the step response of H(s). Recall this is Y(s) for x(t) = u(t) (e) Plot the pole/zero diagram using a computer application (f) Plot the bode diagram using a computer application for amplitude and phase (g) Plot the step response using a computer application (h) Answer the following questions What type of filter is this? LP, BP, HP, or Notch What is the cut-off frequency of the filter? What is the bandwidth of the filter? Is this filter underdamped, critically damped, butterworth, or overdamped? (1)