Lect6 - System Response - Lecture Note 6 : System Response...

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Lecture Note 6 : System Response AE 353, Spring 2010 rof. Soon Chung Prof. Soon Jo Chung (sjchung@illinois.edu)
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acecraft Attitude Control Videos Spacecraft Attitude Control Videos Using thrusters Using reaction wheels ttp://ssl.mit.edu/spheres/videos.html http://ssl.mit.edu/spheres/videos.html
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eview Review We learned Laplace Transform in the context of solving ODEs Transfer function Poles and Zeros of transfer function How to solve ODEs using Laplace Transform cover up method and inverse Laplace Transform
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Using Matlab for Partial Fraction Expansion num=2 %numerator; den=poly([-2;-1;-4]) %denominator [r,p,k]=residue(num,den); ys= f um den ; sys=tf(num,den); step(sys); >> sys 4.0000 2.0000 1.0000 Transfer function: 2 ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ s^3 + 7 s^2 + 14 s + 8 0.3333 1.0000 0.6667
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atlab ontinued) Matlab (continued) %%%alternatively den2=conv(conv([1 2],[1 1]),[1 4]); [r,p,k]=residue(num,den2); sys2=tf(num,den); step(sys2); %alternatively den2=[1 7 14 8]; %alternative method to define a system s=tf( 's' ); sys3=2/((s+2)*(s+1)*(s+4)); %another way [numG,denG]=zp2tf([],[-2,-1,-4],1)
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Lect6 - System Response - Lecture Note 6 : System Response...

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