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.

Fig. P 3. 16

Transcribed Image Text:

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