QUESTION 3 A feedback system is shown in Figure 2. The desired transient response characteristics of the system when subject to a unit-step input is an undamped natural frequency of 4+ p/10 rad/s and a damping ratio of 0.4+q/100. C(s) R(S) + 1 s(s+ 2.7) Figure 2. Feedback system for Question 3. a. Determine the location of the desired dominant closed-loop poles. 20
a. Determine the location of the desired dominant closed-loop poles. The desired dominant closed-loop poles will not lie on the root locus, you do not need to prove this. b. Using root locus method, design a lead compensator so that the desired transient response characteristics are met. Begin your design by placing the lead compensator's.zero.ats-3.5. Assume the lead compensator will be designed in the form G,(s)-K s+%₂ s+pe State your values for K, ze and Pe Note: You do not need to include the root locus plot in your answer. You may use MATLAB to visualise the root locus plots.
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