Question: A control system is represented using the block diagram shown in Figure 10.60, in which the parameter (a) is subjected to variations. Sketch the root
A control system is represented using the block diagram shown in Figure 10.60, in which the parameter \(a\) is subjected to variations. Sketch the root locus with respect to the parameter \(a\). Determine all the values of \(a\) for which the closed-loop system is stable.

FIGURE 10.60 Problem 4. 1 Y(s) R(s) - s(s+a) 3s+9 4(s+2)
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