Question: P5.13 We want to approximate a fourth-order system by a lower-order model. The transfer function of the orig inal system is GH(S)= s3+7s2+24s+24 s4+10s3+35s +

P5.13 We want to approximate a fourth-order system by a lower-order model. The transfer function of the orig

inal system is

GH(S)= s3+7s2+24s+24 s4+10s3+35s + 50s +24 3+7s2+248 + 24 (s+1)(s+2)(s+3)(s+4)* Show that

GH(S)= s3+7s2+24s+24 s4+10s3+35s + 50s +24 3+7s2+248 + 24 (s+1)(s+2)(s+3)(s+4)* Show that if we obtain a second-order model by the method of Section 5.8, and we do not specify the poles and the zero of GL(s), we have GL(s): = 0.2917s+1 0.399s2 +1.375s+1 0.731(s+3.428) (s+1.043)(s +2.4)

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