p = 1
q = 2
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. Assume the lead compensator will be designed in the form s+Zc s+pc Ge(s) = K R(s) + 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 at s = 3.5. State your values for K. Zc and Pc- Note: Attach File Figure 2. Feedback system for Question 3. You do not need to include the root locus plot in your answer. You may use MATLAB to visualise the root locus plots. Browse Local Files 1 s(s+ 2.7) Browse Content Collection C(s) 20 points Save Answer
p = 1 q = 2
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