A feedback system is shown in Figure 2. The desired transient response characteristics of the system when subject to a u

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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 4.9 rad/s and a damping ratio of 0.46

A Feedback System Is Shown In Figure 2 The Desired Transient Response Characteristics Of The System When Subject To A U 1 (14.21 KiB) Viewed 47 times

Figure 2. Feedback system for Question 3.
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.
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

A Feedback System Is Shown In Figure 2 The Desired Transient Response Characteristics Of The System When Subject To A U 2 (2.34 KiB) Viewed 47 times

State your values for K, zc and pc.
Note:
You do not need to include the root locus plot in your answer.
You may use MATLAB to visualise the root locus plots.
R(S) + 1 s(s+ 2.7) Figure 2. Feedback system for Question 3. C(s)
Ge(s) = K s + Zc s+ Pc