Problem 1: Sketch the root locus for the system shown in Figure 1 and answer the following questions: RS Y(s) 0.25s+0.10

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Problem 1 Sketch The Root Locus For The System Shown In Figure 1 And Answer The Following Questions Rs Y S 0 25s 0 10 1 (37.05 KiB) Viewed 37 times

Problem 1: Sketch the root locus for the system shown in Figure 1 and answer the following questions: RS Y(s) 0.25s+0.1088 54+3.4593+3.45792-719+0.0416 Gain Transfer Fen Figure 1 1. Prove that the transfer function in open loop can be written as: T(s) = 0.25 K(s+0.435) (5+0.1456) (5+0.1087) (s* + 3.1965 +2.629) 2. Find the characteristic equation of the system and deduce the poles and zeros. 3. Determine the number of branches and the real axis segments. 4. Find the asymptotes of the Root locus. 5. Find the exact point and gain where the locus crosses the jo-axis 6. Determine the breakaway point on the real axis 7. Find the angles of departure at each complex pole. 8. Find the range of K within which the system is stable 9. Find the exact point and gain where the locus crosses the Ç=0.25 damping ratio line