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Engineering · Electrical Engineering
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Q5. A third order linear dynamic system with the plant transfer function G(s) is controlled using a negative feedback PI control system with the controller transfer function H(s), as shown in Figure 4 below. Controller Plant R(s) KD Y(s) P s(s+12) (s2+8s+32) H(s) G(s) Figure 4 5.a. Sketch the root locus of the closed loop system poles as a function of the proportional gain constant Kp. Your answer must include relevant working, showing in particular: 4 marks/ 5.a All asymptote features, including the centroid location and the angles of each 4 marks/ 5.a.iii The departure and arrival angles from each open loop pole and zero. 4 marks/ 5.a.iv Provide your final sketch in the Cartesian graph paper provided in this question 4 marks) 5.b. Calculate the proportional gain required to place the dominant closed loop system poles 4 marks/ 5.a.i The locations of all open loop poles and zeros asymptote. at the S-plane coordinates s1,--2 ± 4

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