Question

I need help with this  Bode Plots assignment

2. (5 points) Follow the steps (a-c) described below for the following transfer function. Do the steps in order! 1+ 10 1+ 10 a. On a 'blank Bode plot' grid, plot the Bode plot straight line hand sketch approximation for magnitude for the frequency range from 1000 to ω.*1000. Be sure, though, that the corner frequency aligns with an appropriate vertical line on the grid. b. On graph paper, directly below the magnitude plot, plot the Bode plot straight line hand sketch approximation for phase for the frequency range from co1000 to oe 1000. Be sure, though, that the cormer frequency aligns with an appropriate vertical line on the grid c. Generate the MATLAB bode plot of H(s) for the frequency range from o/1000 to o 1000. Keep the magnitude in dB For example, if H(s) 10 (1 + s/5), enter the following at the MATLAB prompt to generate the Bode plot for frequencies from 0. lrad/s to 1000 rad/s: (Be sure the phase is plotted in degrees!) tf(s'); H 10 (1 +s 5) bode(H, 0.1,1000))

Answer 1

10 H(jw) Equatian FindinqCorner fwenc oc H(ju) is aon O 10 Etuat'on (2 2 10 0 rad sec Bode plotr magnitude HCi From equation 2) I0 2. rad/se 0,01 -mt w: 1000 100: F9999 Scanne magnitude in de H(jw)|. - ao a 0.99 CS CamScanner dB

o.9999 H (jw)- 2 de 0 0.99503 magnitude inx (0-11503) ニー0.0432 dB ( magie de -3.01 dB ๐,๐99 5 2 0 100 aqnitude n de H(ju) - -ao.oy dB - At ω=cŁx1OO = 1000 rad/sec _ = 0.00999づ Scanned wit CamSca magnitude in de [H()oooofa)-dB

Bode Diagram System: H Frequency (rad/s): 0.0992 System: H Frequency (radis): 0.997 Magnitude (dB):-0.0433 System: H Frequency (rad/s): 0.0101 Magnitude (dB)-1.43-05Magnitude (dB)-0.00121 System: H Frequency (rad/s): 10 Magnitude (dB):-3.02 10 System: H Frequency (rad/s): 101 Magnitude (dB) -20.1 20 System: H Frequency (rads): 1.01e+03 Magnitude (dB):-40.1 -40 50 System: H Frequency (rad/s): 9.77e+03 Magnitude (dB): -59.8 .60 1 10 10 10 10 10 Frequency (rad/s)

D Bode plot fr phase From equation 0 IO 000 00 O rad sec too0 toDo 1o o.1 Yad sec rad/sec 1 lo 5, 지 tan 0 10 , 1000 1-89-92구。 L-tan-1-10. : flo): L-89.9。 CS Scanne CamScanner

Bode Diagram System: H Frequency (radis): 0.0992 Phase (deg): -0832 System: HH Frequency (rad/sy: 1.01 Phase (deg):-5.76 30 System: H Frequency (rad's: 10 Phase (deg):-45 -60 System: H Frequency (rad/s): 101 Phase (deg):-84.3 System: H Frequency (rads): 1.01e+03 Phase (deg):-89.2 90 -2 10 10 10 10 Frequency (rad/s)

(C)

Bode Diagram -10 m-20 2-30 2 - 40 50 60 a -45 90 10° 104 102 10 10 10 Frequency (rad/s)