# HW_8 - ECE 313(Spring 2009 Homework#8(Due Monday in class...

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1 ECE 313 (Spring 2009) Homework #8 (Due: March 23, 2009, Monday, in class) Reading Assignment Reminder: Sections 8.5 – 8.8, 9.1, 9.3 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. For Matlab/Simulink problems, always attach the source code (or Simulink model) and interpret your results properly. 1) (15 pts) Consider the following unity feedback system, where K s C ) ( , ) 5 )( 1 ( 1 ) ( s s s s G . (a) Sketch the root locus. (b) Use the refinement of the root locus to find the value of the gain K , for which the closed-loop system will be critically damped. (c) Find the value of the root locus at its intersection with the imaginary axis, and the corresponding gain K . You are asked to do this by searching along the imaginary axis, using your own code or the Matlab program I posted. (d) Use the Matlab command “rlocus” to do Part (c), and compare the result with the

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## This note was uploaded on 09/09/2009 for the course ECE 313 taught by Professor Gokcek,c during the Spring '08 term at Michigan State University.

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HW_8 - ECE 313(Spring 2009 Homework#8(Due Monday in class...

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