hw09_SP10 - The purpose of this problem is to show you the...

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Spring 2010 AERSP 304 HW #9 R.G. Melton (practice problems only – not to hand in) 1. (10 pts) Prob. 8.5 2. (10 pts) Use Matlab to generate 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. (10 pts) Using information from the Matlab plots for Prob. 2, determine the steady-state response for the system in the form   t A t x s sin ) ( for = 3000 rad/s. Carefully sketch (by hand – no computer plots!) a plot of x s (t) and the input f ( t ) = sin( t ) directly below it (as shown in the example below) for t = 0 to 2 / . You should calculate a number of points for each plot and then sketch in the resulting curves. The time scales on the plots should be identical.
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Unformatted text preview: The purpose of this problem is to show you the significance of the phase angle . Calculate the corresponding time-shift t between the two curves and verify this value from the plots. (continued on back) x s f ( t ) 4. (10 points) A system has open-loop transfer function ) 3 5 ( ) ( 2 s s s K s G but unity feedback is added to give the block diagram shown below a.) Use the Routh criterion to determine the range of values of K for stability. b.) Use Matlab to generate the root locus, and find the value of K for which the 2 nd-order response for the closed-loop system has = 0.4 ) 3 5 ( ) ( 2 s s s K s G +-C A...
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This note was uploaded on 08/24/2010 for the course AERSP 304 taught by Professor Melton during the Spring '10 term at Pennsylvania State University, University Park.

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hw09_SP10 - The purpose of this problem is to show you the...

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