HW8-Solution(2) - Flight Control Systems Homework #8...

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Unformatted text preview: Flight Control Systems Homework #8 Solutions Dr. Bishop - Fall 2007 Reading Assignment: Modern Control Systems: Chapter 8 1-2. Exercises: E8.12, E8.14 3. Problems: P8.27 4. Design Problems: DP8.2 5 . Computer Problems: CP8.3 E8.12 (a) The transfer function is G ( s ) = C ( sI- A )- 1 B + D =- 5 ( s- 1 ) s 2 + 3s + 2 . (b) The Bode plot is shown in Figure 1.-20-10 10 Magnitude (dB) 10-2 10-1 10 10 1 10 2 90 180 270 Phase (deg) Bode Diagram Frequency (rad/sec) Figure 1: Bode Diagram for G ( s ) =- 5( s- 1) s 2 +3 s +2 . E8.14 The loop transfer function is L ( s ) = 20 ( s 2 + 1 . 4 s + 1)( s + 10) . The Bode plot of L ( s ) is shown in Figure 2. The frequency when 20 log 10 | L ( ) | = 0 is = 1 . 32 rad/sec.-150-100-50 50 Magnitude (dB) 10-2 10-1 10 10 1 10 2 10 3-270-225-180-135-90-45 Phase (deg) Bode Diagram Frequency (rad/sec) Figure 2: Bode Diagram for L ( s ) = 20 ( s 2 +1 . 4 s +1)( s +10) ....
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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 at Austin.

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HW8-Solution(2) - Flight Control Systems Homework #8...

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