Q3-10-1103-Time Response

# Q3-10-1103-Time Response - transfer function. From the...

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Click to edit Master subtitle style 7/22/11 FEEDBACK AND CONTROL SYSTEMS NOVEMBER 03, 2010 – QUIZ#3 Time Response Analysis

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7/22/11 1. 15pts. State the nature of each response of the system defined by the transfer function in Equation 1a to 1c (undamped, underdamped, etc.) 2. 18pts. For the first order RL circuit of Figure 1. with a unit step voltage, determine the transfer function. From the transfer function determine the time constant, rise time and the settling time. 3. 20pts. Given the translational mechanical system of Figure 2 where K=2 and f(t) is a unit step, find the values of M and fv to yield a 25% overshoot and a settling time of 10 seconds. 4. 12pts. For the given transfer function in Equation 2 determine & , Pn, Tp, Ts, %OS, Tr.
7/22/11 Equation 1 1. State the nature of each response of the system defined by the transfer function in Equation 1a to 1c (undamped, underdamped, etc.) 2. For the first order RL circuit of Figure 1. with a unit step voltage, determine the
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Unformatted text preview: transfer function. From the transfer function determine the time constant, rise time and the settling time. 3. Given the translational mechanical system of Figure 2 where K=2 and f(t) is a unit step, find the values of M and fv to yield a 25% overshoot and a settling time of 10 seconds. 4. For the given transfer function in Equation 2 determine A, On, Tp, Ts, %±S, Tr. 5. Find the transfer function of a second order system that yields a 13% overshoot and a settling time of 2s. Plot the poles and determine ² d , and σd 6. For the system in Figure 3, find the values of K1 and K2 to yield a peak time of 1 second and a settling time of 2 seconds for a step input. Figure 1 Equation 2 Figure 2 144 6 20 ) ( ) 2 + + = s s s G a b 100 20 20 ) ( ) 2 + + = s s s G b c 9 20 ) ( ) 2 + = s s G c d 8 4 8 ) ( 2 + + = s s s G 0.1 Ω 3H u(t) + v-Figure 3...
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## This note was uploaded on 07/22/2011 for the course ECON 112 taught by Professor Ahd during the Spring '11 term at Alabama.

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Q3-10-1103-Time Response - transfer function. From the...

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