ps7_soln

# ps7_soln - EE 428 Problem Set 7 Solutions-13 Problem 30...

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EE 428 Problem Set 7 Solutions -13- Problem 30: MATLAB m-file for generating root locus plots and determining controller gains: % EE 428 Fall 2007 % Problem Set 7, Problem 13 % clear the work space and close all figures clear close all % construct root locus for the pilot control loop open num_1 = 25*conv([1,0.03],[1,1]); den_1 = conv( conv([1,0.4],[1,9]), [1,-0.36,0.16]); figure(1); rlocus(num_1, den_1) title( 'Root Locus as K_2 is Varied: Pilot Out of Loop' ) axis([-2, 0, -2, 2]) sgrid(0.707,[]); [K_2, poles_1] = rlocfind(num_1, den_1) % Now construct root locus with the pilot in the loop num_2 = 25*conv([1,9],[1,0.03]) den_2 = conv( [1,12,1], den_1 + K_2*25*[0,0, conv([1,1],[1,0.03])]); figure(2); rlocus(num_2, den_2) axis([-2, 0, -2, 2]) title( 'Root Locus as K_1 is Varied: Pilot In the Loop' ) sgrid(0.05, []); [K_1,poles_2] = rlocfind(num_2,den_2)

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Problem Set 7 Solutions -18- Problem 31:
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ps7_soln - EE 428 Problem Set 7 Solutions-13 Problem 30...

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