2 Sketch the root locus for the characteristic equation A(s) = 1 + kpGp, where 1...

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2 Sketch the root locus for the characteristic equation A(s) = 1 + kpGp, where 1 s(s² + 2s +5)* Hint: You can check your answer using the rlocus (sys) command in MATLAB, where sys= Gp. a Plot the open-loop poles and zeros. Gp(s) = b Find the centroid and angles of the asymptotes. Draw the asymptotes. C Find the angles of departure from the complex poles. d Sketch the root locus. e Does the closed-loop system remains stable as kp →∞ (i.e., do the closed-loop poles end up in the SLHP as kp → ∞)? 2 Sketch the root locus for the characteristic equation A(s) = 1 + kpGp, where 1 s(s² + 2s +5)* Hint: You can check your answer using the rlocus (sys) command in MATLAB, where sys= Gp. a Plot the open-loop poles and zeros. Gp(s) = b Find the centroid and angles of the asymptotes. Draw the asymptotes. C Find the angles of departure from the complex poles. d Sketch the root locus. e Does the closed-loop system remains stable as kp →∞ (i.e., do the closed-loop poles end up in the SLHP as kp → ∞)?