HW9-Solution(2)

# HW9-Solution(2) - Flight Control Systems Homework#9...

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Flight Control Systems Homework #9 Solutions Dr. Bishop - Fall 2007 Reading Assignment: Chapter 9 1. Exercises: E9.33 2. Problems: P9.9 3. Advanced Problems: AP9.10 4. Design Problems: DP9.7 5 . Computer Problems: CP9.10 E9.33 The Bode plot is shown in Figure 1. The phase margin is P.M. = 17 . 7 and the gain margin is G.M. = 5 . 45 dB. -150 -100 -50 0 50 Magnitude (dB) 10 -1 10 0 10 1 10 2 10 3 -270 -225 -180 -135 -90 -45 0 Phase (deg) Bode Diagram Gm = 5.45 dB (at 5.68 rad/sec) , Pm = 17.7 deg (at 4.24 rad/sec) Frequency (rad/sec) Figure 1: Bode plot for L ( s ) = 200 ( s 2 +2 . 83 s +4)( s +10) . P9.9 (a) The Bode plot is shown in Figure 2a. The phase margin is P.M. = 83 o and the gain margin is G.M. = . (b) With the compensator, the loop transfer function is G c ( s ) G ( s ) H ( s ) = K 1 0 . 30( s + 0 . 05)( s 2 + 1600)( s + 0 . 5) s ( s 2 + 0 . 05 s + 16)( s + 70) , where K 2 /K 1 = 0 . 5 . Let K 1 = 1. The Bode plot is shown in Figure 2b. The phase margin is P.M. = 80 o and the gain margin is

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## This note was uploaded on 09/01/2010 for the course ASE 270L taught by Professor Dr.bishop during the Spring '10 term at University of Texas.

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HW9-Solution(2) - Flight Control Systems Homework#9...

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