Question: A control system is represented using the block diagram shown in Figure 10.59. Sketch the root locus with respect to the proportional control gain K.

A control system is represented using the block diagram shown in Figure 10.59. Sketch the root locus with respect to the proportional control gain K. Determine all the values of $K$ for which the closed-loop system is stable.

FIGURE 10.59 Problem 3. R(s) + K s+3. s(s+4)(s+2s+2) Y(s) 1 s+2

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