1.

A second order system has poles at -1 ± j2 and zero at 1. What is the transfer function of the system if the steady state output to an input of unit step is c(t) = 3?

A. \(\frac{\left( s-1 \right)}{{{s}^{2}}+2s+5}\)
B. \(\frac{-15\left( s-1 \right)}{{{s}^{2}}+2s+5}\)
C. \(\frac{\left( s-1 \right)}{{{s}^{2}}+2s+4}\)
D. \(\frac{5\left( s-1 \right)}{{{s}^{2}}+2s+5}\)
Answer» C. \(\frac{\left( s-1 \right)}{{{s}^{2}}+2s+4}\)


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