3. (8 points total) For each of the following transfer functions, sketch the Bode plot using...

   

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3. (8 points total) For each of the following transfer functions, sketch the Bode plot using the Bode plot rules for magnitude and phase at poles and zeros. Mark the slopes of the asymptotes of each section as well as the points where they bend. Confirm your sketches by plotting the Bode plots with MATLAB's bode function. I highly recommend only comparing with MATLAB once you have made a full effort in sketching it, to make sure you understand why the Bode plot is shaped the way it is. (a) (4 points) Transfer function with one real zero and two real poles. L(s)= 10(8 + 1) s(s+100) (b) (4 points) Transfer function for a second order system with a pair of complex poles. It may help to calculate the magnitude at the pole to determine how high to draw your resonant peak. L(s) 20 82+28 +20 3. (8 points total) For each of the following transfer functions, sketch the Bode plot using the Bode plot rules for magnitude and phase at poles and zeros. Mark the slopes of the asymptotes of each section as well as the points where they bend. Confirm your sketches by plotting the Bode plots with MATLAB's bode function. I highly recommend only comparing with MATLAB once you have made a full effort in sketching it, to make sure you understand why the Bode plot is shaped the way it is. (a) (4 points) Transfer function with one real zero and two real poles. L(s)= 10(8 + 1) s(s+100) (b) (4 points) Transfer function for a second order system with a pair of complex poles. It may help to calculate the magnitude at the pole to determine how high to draw your resonant peak. L(s) 20 82+28 +20