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Generate Figure 6-18:

tvec=0:(140/99):140;

compare(syscl,sysclr,tvec,{type=7})

f18=plot({keep,legend=["original","reduced"]})

Figure 6-18.  Step Response with fracred

The end result is comparable to that from 

wtbalance( )

 with option

"match"

. 

We can create a table to examine the values of the Hankel singular values 
based on different decompositions approaches.

set precision 3  # Optional:

set format fixed # we set a smaller precision here so we 

could fit

                 # the table in the manual.

[syscr, hsvrs] = fracred(sys, Kr, Ke, "right stab",2);

[syscr, hsvls] = fracred(sys, Kr, Ke, "left stab",2);

[syscr, hsvrp] = fracred(sys, Kr, Ke, "right perf",2);

[syscr, hsvlp] = fracred(sys, Kr, Ke, "left perf",2);