samyak shah 78723041 homework 5 engrmae 170

7/25/2019 Samyak Shah 78723041 Homework 5 ENGRMAE 170

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P7.5

CP 7.2

>> num=[1,-2,2];den=[1,3,2,0];

>> sys=tf(num,den);

>> rlocus(sys)

>> [k,poles] = rlocfind(sys)

Select a point in the graphics window

selected_point =

-0.0010 + 0.6445i

k =

0.7870

poles =

-3.7843 + 0.0000i


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-0.0013 + 0.6449i

-0.0013 - 0.6449i

CP 7.8

% Define the open loop function, and make% a transfer function.num=[1,5]; den=[1,0,0];sys=tf(num,den);

% Create vertical line for -zeta*wn on the% the real axis.x1=-8:0.1:8;zetawn=-1*ones(1,length(x1));

% Create the lines for the zeta=0.6x2=-6:0.1:0; zeta=0.6;

% Find the angle by taking the arccos of% zeta.angle=acos(zeta);

% Find the corresponding y values.ypos=tan(angle)*x2;


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yneg=-tan(angle)*x2;

% Create the root locusrlocus(sys)

% Hold the locus to plot the other lineshold onplot(zetawn,x1,'--')plot(x2,ypos,'--',x2,yneg,'--')

% Take hold offhold off

% Find the Intersect.[k, poles] = rlocfind(sys)

Select a point in the graphics window

selected_point =

-3.5707 + 4.7877i


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k =

7.1395

poles =

-3.5697 + 4.7911i

-3.5697 - 4.7911i

samyak shah 78723041 homework 5 engrmae 170

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