Question

) For a unity feedback system in Figure 1, if G(s)=\frac{K\left(s^{2}+2 s+2\right)}{(s+2)(s-2)}, \quad K>0 (a) Sketch the root locus. (b) Find the breakaway point in the root locus. (c) Find

the range of K, where the system is stable.

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5