Answer Happy

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+ 8/10 rad/s and a damping ratio of 0.4 + 4/100. R(s) + Assume the lead compensator will be designed in the form s + Zc s+pc Gc(s) = K 1 s(s+ 2.7) 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. State your values for K, zc and pc- C(s) Note: • You do not need to include the root locus plot in your answer.