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Unformatted text preview: EE 302 Home work 3 Due April 1, 2010 1. The pole locations of four second-order systems in standard form are given below. The transient behaviors of these systems are to be compared considering their unit step responses. Make the below comparisons (greater than, equal to, less than.). Explain your reasoning using the formulae derived for them. a. Compare all four systems in terms of their maximum overshoots. b. Compare all four systems in terms of their settling times. c. Compare systems 1, 3, and 4 in terms of their rise times. 2. Match each step response to the appropriate pole-zero plot in the figure below. Explain your reasoning clearly. (you may use: - The steady state value of the response for given generic poles and zeros of given systems.- The initial value of the response. - Any other relevant information) (a) 2 4 6 8 1 0 1 2 1 1 . 1 1 . 2 1 . 3 1 . 4 1 . 5 1 . 6 1 . 7 1 . 8 1 . 9 2 S t e p R e s p o n s e T im e ( s e c ) Amplitude (b) S t e p R e s p o n s e T im e ( s e c )...
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