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hw10_SP10

# hw10_SP10 - NAME Staple this page to the front of your...

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NAME: _________________________________ Staple this page to the front of your homework. 1. _____ 2. _____ 3. _____ TOTAL AERSP 304 HW #10 Due Friday April 23 at beginning of class 1. (10 pts) For the system shown below, determine the steady-state error for the two cases a. Input is a unit step function a ( t ) = u ( t ) b. Input is a unit ramp function a ( t ) = tu ( t ) ) 2 )( 1 ( 2 s s s 2. (20 pts) A PI controller with K p = 10 and K i = 5.2 is used with a plant whose transfer function is 5 2 . 0 s G p a. (5 pts) Determine the closed-loop transfer function H = C/A . b. (5 pts) Determine (analytically) the damped natural frequency and damping ratio of the closed-loop system. c. (10 pts) Use Simulink to calculate the response of the closed-loop system for the input a ( t ) = 7 u ( t ). Print the output generated on the Scope and print the Simulink model. (continued on reverse) + - C A

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3. (20 pts) Satellites often employ peak-power tracking, which means that a feedback controller keeps the solar arrays oriented directly towards the Sun (or as close as
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