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Unformatted text preview: Frequency Response Q UESTION 5 For the closedloop system shown in Figure 5.1 with ( 29 ( 29 ( 29 2 0.4 4 8 0.4 s s G s s s- + = + + , complete the following: a. Sketch the Bode magnitude and phase plots by hand. Sketch the plots for each term and then sketch the total plots. Graph the Bode magnitude and phase plots using Matlab. b. Compute the gain margin and the frequency at which it occurs. Determine the equations required to solve for the phase margin and the frequency at which it occurs. c. Using the Bode plots sketched in part (a), estimate the gain and phase margins and the frequencies at which these occur. G(s) K U(s) R(s) +- Y(s) E(s) Figure 5.1 2 0.4 4 s s- + term The magnitude is M = 20log 10 (4) = 12.04 dB for 0 < 2 rad/s. The magnitude is M = 12.04 + 40 dB/dec for > 2 rad/s. The phase is = 360 for < 0.2 rad/s. The phase is 360 > > 180 at a slope of 90/dec for 0.2 20 rad/s. The phase is = 180 for > 20 rad/s. ( 29 1 8 s + term Frequency Response The magnitude is M = 20log 10 (8) = 18.06 dB for 0 < 8 rad/s....
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This note was uploaded on 02/01/2012 for the course MECH ENG 279 taught by Professor Landers during the Spring '11 term at Missouri S&T.
- Spring '11