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# HW_7 - K(a 3 s(b j s 1 2(10 pts Problem 2 of Chapter 8 in...

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1 ECE 313 (Spring 2009) Homework #7 (Due: March 16, 2009, Monday, in class) Reading Assignment Reminder: Sections 8.1 – 8.4 Problems: Note: When sketching root locus, always mark arrows on the branches; and if there are asymptotes, always show the calculation of the intercept point and the angles. 1) (10 pts) Consider the following unity feedback system, where K s C ) ( , ) 4 )( 1 ( 2 ) ( s s s s s G . Determine whether each of the following s is on the root locus of the closed-loop system, and if yes, find out the corresponding gain
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Unformatted text preview: K . (a) 3 s (b) j s 1 2) (10 pts) Problem 2 of Chapter 8 in the textbook. 3) (20 pts) Consider the following unity feedback system. Sketch the root locus for each of the following case: (a) 1 ) ( , ) 4 ( ) ( 2 2 s H s s K s G (b) 1 ) ( , ) 6 )( 4 )( 2 ( ) ( s H s s s Ks s G (c) K s H s s s s G ) ( , ) 6 )( 4 )( 2 ( 1 ) ( (d) 3 1 ) ( , ) 2 ( ) ( s s s H s s K s G _ + ( ) G s R Y ) ( s H _ + ( ) G s ( ) C s R Y...
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