p=7
q=1
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. R(s) +, Ge(s) = K- 1 s(s+ 2.7) Note: • You do not need to include the root locus plot in your answer. • You may use MATLAB to visualise the root locus plots. Figure 2. Feedback system for Question 3. 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. Assume the lead compensator will be designed in the form s+Zc s+ Pc State your values for K. Zc and Pc- C(s)
p=7 q=1
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