Suppose that G(s) is the transfer matrix
from (F1 , F2) to (x1 , x2); that is,
and
suppose k1=1, k2 =4, b1 =0.2, b2 = 0.1, m1
=1, and m2=2 with appropriate units.
>>G=pck(A,B,C,D);
>>hinfnorm(G,0.0001)
or linfnorm(G,0.0001) % relative error £0.0001
>>w=logspace(-1,1,200); %200 points between 0.1=10-1 and
10=101;
>>Gf=frsp(G,w); %computing frequency
response;
>>[u,s,v]=vsvd(Gf); %SVD at each frequency;
>>vplot(liv,lm,s),
grid %plot both singular values and grid.
||G||₯ =11.47=the peak of the
largest singular value Bode plot in Figure 4.3.
