8. (18 points) Suppose that you are to design a control system for a first-order plant as shown below ROM e(t) S -4' -2

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8 18 Points Suppose That You Are To Design A Control System For A First Order Plant As Shown Below Rom E T S 4 2 1 (58 KiB) Viewed 28 times

8. (18 points) Suppose that you are to design a control system for a first-order plant as shown below ROM e(t) S -4' -2 K 0₁ The control goal is to place the closed-loop system poles within the shaded regions shown below. Im(s) 4 0₂-2 Ka s+ α 2 • ΟΥ Re(s) (a) (8 points) Estimate the range of the values of natural frequency and damping ratio correspond to the shaded regions. Show the procedure. (b) (BONUS 10 points) If Ka-2, find values for K and K, so that the poles of the closed-loop system is at the center of the shaded regions.