# hw7-170 - ( a ) G c ( s ) G ( s ) = 1 (1 + 0 . 1 s )(1 + 10...

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MAE 170 Introduction to Control Systems A. Sideris Homework # 7 Due: Monday, November 30, 2009 before 12pm 1 Do Problems E8.5, P8.2(a,b,c,d), and AP8.3 in the text. Remarks 1. In ﬁgure E8.5, the horizontal axis cuts the vertical axis at 0 db , i.e. the origin of the coordinate system is the point (x=1rad/sec, y=0dB). 2. In P8.2, sketch the Bode plots by hand and use Matlab’s bodeplot command to check your results. Also compute for the given plants the appropriate error constant from the Bode plot. Replace the plants in solution with the following:
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Unformatted text preview: ( a ) G c ( s ) G ( s ) = 1 (1 + 0 . 1 s )(1 + 10 s ) ( b ) G c ( s ) G ( s ) = 1 + 0 . 1 s s 2 ( c ) G c ( s ) G ( s ) = s-5 s 2 + 3 s + 5 ( d ) G c ( s ) G ( s ) = 50( s + 6) s ( s + 3)( s + 8) 3. In AP8.3 take k = 20 N/m . Also compute the amplitude of vibration that the mass M experiences if the sinusoidal excitation represents potholes 15 cm deep, spaced 20 cm apart and the speed of the vehicle is 8 km/h . At what speed is the vibration felt the most? 1 Drop-o Location: 2nd oor of EG in front of elevator 1...
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