hw-421-s06-06

hw-421-s06-06 - ECE 421, Spring 2006, HW Assignment #6 Due...

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ECE 421, Spring 2006, HW Assignment #6 Due Tuesday, March 7, 2006 1. Textbook problems B-5-30 and B-5-32 2. For each of the following systems, determine the closed-loop steady-state errors for unit step, unit ramp, and unit parabolic reference input signals, expressing the errors in terms of K. You may assume that the closed-loop systems are stable in each case. G 1 ( s )= K ( s +6)( s +7) ( s +0 . 75)( s +1)( s +3) (1) G 2 ( s )= K ( s +1)( s +3 . 5) s ( s +1 . 25)( s +2)( s +5) (2) G 3 ( s )= K ( s +3)( s +7) s 2 ( s +0 . 75)( s +2) 2 (3) G 4 ( s )= K ( s +1)( s +5)( s +12) s 3 ( s +0 . 625)( s +2)( s +3) (4) G 5 ( s )= K ( s/ 3+1)( s/ 15 + 1) ( s/ 0 . 5+1)( s/ 6+1)( s/ 9+1) (5) G 6 ( s )= K ( s/ 3+1)( s/ 4+1) s 2 ( s/ 5+1)( s/ 6+1)( s/ 7+1)( s/ 0 . 25 + 1) (6) G 7 ( s )= K ( s/ 5+1)( s/ 40 + 1) ( s 2 +8 s +32) s ( s/ 0 . 5+1)( s +20)( s/ 3+1) (7) G 8 ( s )= K ( s/ 5+1)( s/ 7+1) ( s/ 0 . 25 + 1)( s/ 9+1)( s +2 . 5) ( s/
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hw-421-s06-06 - ECE 421, Spring 2006, HW Assignment #6 Due...

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