Question: Consider the feedback system shown in Figure 10.26. a. Using Routh's stability criterion, determine the range of the control gain (K) for which the closed-loop

Consider the feedback system shown in Figure 10.26.

a. Using Routh's stability criterion, determine the range of the control gain \(K\) for which the closed-loop system is stable.

b. Use MATLAB commands to find the unit-step responses for open and closed-loop control. Assume that the control gain is \(K=30\). Compare the open-and closed-loop responses.

FIGURE 10.26 Problem 1. R(s) K s+1 s(s-2)(s+5) Y(s)

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