Question: For the control system shown in Fig. 3. 16: (a) plot the root loci of the system (b) find the value of gain $K$ such

For the control system shown in Fig. 3. 16:

(a) plot the root loci of the system

(b) find the value of gain $K$ such that the damping ratio $\xi$ of the dominant closed-loop poles is 0. 5

(c) obtain all the closed-loop poles using MATLAB

(d) plot the unit-step response curve using MATLAB.

Input 2 K s(s +5s +7) Output

Fig. P 3. 16

Input 2 K s(s +5s +7) Output

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