Question: We now close a feedback loop on the double integrator system G(s) = Y(s)/U(s) = 1/s 2 . 3a. Taking the proportional control D(s) =
We now close a feedback loop on the double integrator system G(s) = Y(s)/U(s) = 1/s 2 . 3a. Taking the proportional control D(s) = K, rewrite the closed-loop transfer function H(s) = G(s)D(s)/[1+ G(s)D(s)] as a rational function of s. Noting that the denominator of the resulting expression for H(s) is quadratic in s, compute the exact pole locations of the closed-loop system as a function of K
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