hw8-s10-430 - K > 0. You may use MATLABs rlocus to...

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ECE 382 Homework 8 Due: Monday, Feb. 8, 2010 1) Do the following problems in your textbook (4th edition; see the attached sheets): B-6-5, B-6-9, and B-6-11. 2) Sketch the root locus for the following feedback systems whose open-loop transfer functions are given for K > 0. Find angles of departure/arrival from complex poles/zeros, break-away and/or break-in points and values of K that yield system instability. (a) G ( s ) = K ( s 2 + 4 s + 8 ) s ( s - 2 ) (b) G ( s ) = K ( s + 1 ) s 2 + 4 (c) G ( s ) = K s ( s 2 + 4 s + 5 ) (d) G ( s ) H ( s ) = K ( s + 1 ) s ( s + 2 )( s + 3 )( s + 5 ) (e) G ( s ) H ( s ) = K ( s + 3 ) s 2 + 2 s + 5 3) The characteristic equation of a closed-loop system is ( 1 + K ) s 2 + ( 2 - 2 K ) s + 2 K = 0 Draw the root locus for
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Unformatted text preview: K > 0. You may use MATLABs rlocus to verify your work/plot. Try to plot your root locus rst, then use Matlab to verify your plot . Test 2 (Closed-book Test) Date: Thursday, Feb. 11, 2010 Time: 4:30 - 5:30 PM Place: EE 236 Materials: Open-loop and closed-loop poles, second-order systems, time-domain perfor-mance specication, steady-state error, Routh-Hurwitz Stability, and Root Locus. Calculator policy will be enforced in the test....
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This note was uploaded on 02/04/2012 for the course ECE 382 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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