timeresponse1 - ( 29 5 1 t y t e-= -(2) The general form...

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Time Response Q UESTION 1 Find the output response, y ( t ), for the system in Figure 1.1 when ( 29 1 U s s = , and determine the time constant, rise time, and settling time. U(s) 5 5 s + Y(s) Figure 1.1 Using partial faction expansion ( 29 ( 29 5 1 1 5 5 Y s s s s s = = - + + (1) Taking the inverse Laplace Transform
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Unformatted text preview: ( 29 5 1 t y t e-= -(2) The general form for a first order system is K s a + . Since a = 5, the time constant is 1 0.2 5 = = s, the rise time is 2.2 0.44 5 r T = = s, and the settling time is 4 0.8 5 s T = = s....
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