A feedback control system is depicted in Figure Q3a. Where K is the gain of a proportional controller and G(s) is a tran

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A Feedback Control System Is Depicted In Figure Q3a Where K Is The Gain Of A Proportional Controller And G S Is A Tran 1 (78.09 KiB) Viewed 11 times

A feedback control system is depicted in Figure Q3a. Where K is the gain of a proportional controller and G(s) is a transfer function of a mechatronic system. R(S) Y(S) K 1 G(S) = s(s2 + 10s + 25) Figure Q3a. Feedback control system using proportional control. (a) Determine the location of the open-loop poles. (marks 2) (b) Determine the number of the asymptotes of the root-locus. In addition, calculate the centroid and the angles of the asymptotes. (marks 5) (c) Determine the location of the breakaway point. (marks 3) (d) Determine the fastest possible settling time (Ts) of the system. In addition, determine the value of the gain K so that the fastest possible settling time of the system is achieved. (marks 5) (e) Determine the location in the s-plane (closed-loop poles) and the value of the gain K where the root-locus branches intersect with the imaginary axis. You can use either Routh-Hurwitz criterion and the Routh Array or replacement of jw in the s of the closed-loop transfer function. (marks 5)