hw08_SP10

hw08_SP10 - 0 to 20 Plot both state variables on the same...

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Please staple this page to the front of your homework. NAME: ____________________________ 1. _____ 2. _____ 3. _____ TOTAL Spring 2010 AERSP 304 HW #8 R.G. Melton (due at beginning of class Friday April 2) 1. (20 points) Sketch (just the asymptotes) the Bode amplitude and phase plots for the following transfer function in the range = 0.1 to 10000 rad/s. ) 1 001 . 0 )( 1 ( ) 1 01 . 0 ( 100 ) ( s s s s G 2. (20 points) Sketch (just the asymptotes) the Bode amplitude and phase plots for the following transfer function in the range = 0.1 to 10000 rad/s. ) 1 001 . 0 )( 1 01 . 0 ( ) 1 1 . 0 ( 1000 ) ( s s s s s G 3. (20 points) Convert the following diff. eq. into state-variable form and numerically integrate from t =
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Unformatted text preview: 0 to 20. Plot both state variables on the same graph (be sure to label the axes!). You may use any numerical integration method. Include all computer code that you write (you may use an integrator that you have written for another class or a “canned” integrator such as ode45 in Matlab). 9ݕሷ ൅ 5ݕሶ|ݕሶ| ൅ 20ݕ ൌ 4 cos 3ݐ ൅ 6ݑሺݐሻ Initial conditions are ݕሺ0ሻ ൌ 0, ݕሶሺ0ሻ ൌ 0.5 . All values are dimensionless. Note that since the integration begins at t = 0, the term 6 u ( t ) can be treated simply as a constant value equal to 6. Remember, you may not share computer code with others....
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