Chapter 8, Problem 20P

For the unity feedback system of Figure P8.3, where $G\left(s\right)=\frac{K\left(s+\alpha \right)}{s\left(s+3\right)\left(s+6\right)}$ find the values of $\alpha$ and K that will yield a second-order closed-loop pair of poles at $-1\pm j100$ . [Section: 8.5]