Page 404 - Schaum's Outline of Theory and Problems of Signals and Systems

CHAP. 71 STATE SPACE ANALYSIS

7.17. Redo Prob. 7.16 by expressing H(s) as
H(s) =H,(s)H*(s)

1
where
H1(s) = s3 + a,s2 + a2s +a,

Let

Then we have

Rearranging the above equations, we get
s3W(s) = -a1s2w(s) - a2sW(s) - a3W(s) + X(s)

Y(s) = b,s3W(s) + bls2~(s) + b,sW(s) + b,W(s)

from which, noting the relation shown in Fig. 7-15, the simulation diagram in Fig. 7-16 can be

Fig. 7-16 Canonical simulation of the second form.