Consider the closed-loop system in Figure 2.79 with 1000 Gc(s) = 15, H(s) = 1, and G(s)

Chapter 0, Problem 14

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Consider the closed-loop system in Figure 2.79 with 1000 Gc(s) = 15, H(s) = 1, and G(s) = s 3 + 50s2 + 45005 + 1000' Compute the closed-loop transfer function and the closed-loop zeros and poles. 15000 a. T(s) = - ,5! = -3.70,52 3 = -23.15 61.59/ 5 3 + 5052 + 45005 + 16000 ' ' . ^, N 15000 n,nn b. 7/(5) = , Si = -3.70,5, = -86.29 5052 + 45005 + 16000 1 c. T(5) = -r 5 ,5X = -3.70,52 , = -23.2 63.2/ ' 53 + 5052 + 45005 + 16000 d. 7/(5) = 1_292 s = _3>7 0 s = -23.2, s3 = -63.2

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