We want to approximate a fourth-order system by a lower-order model. The transfer

Chapter 0, Problem P5.13

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We want to approximate a fourth-order system by a lower-order model. The transfer function of the original system is and the zero of GL(s), we have GH(s) = s 3 + Is2 + 24s + 24 s 4 + 10.53 + 35s2 + 50s + 24 s 3 + 7s2 + 24s + 24 (s + l)(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 Gds) = 0.2917s + 1 0.399s2 + 1.375s + 1 _ 0.731 (s + 3.428) ~ (s + 1.043)(s + 2.4)*

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