Q4. The open-loop transfer function of a system is given by, g(s) =_ 200(s + 3) (s+2)(s+4)(s+6)(s+8)(s+10) (a) sketch the root-loci of the system, showing the main features of each branch. (b) Use the root-loci plot to determine the range of controller gains over which the system is stable.

Introductory Circuit Analysis (13th Edition)
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Can you do part b and c please 

Q4.
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The open-loop transfer function of a system is given by,
g(s) =
2000s + 3)
(s+2)(s+4)(s+6)(s+8)(s+10)
(a)
sketch the root-loci of the system, showing the main features of each branch.
(b)
Use the root-loci plot to determine the range of controller gains over which the
system is stable.
(c)
Determine the value of the controller gain such that the dominant complex roots
have a damping ratio of 0.5.
Transcribed Image Text:Q4. π >TT ta D Ink to Ink to Shape Math Drawing Canvas Ink Replay Convert Insert Replay The open-loop transfer function of a system is given by, g(s) = 2000s + 3) (s+2)(s+4)(s+6)(s+8)(s+10) (a) sketch the root-loci of the system, showing the main features of each branch. (b) Use the root-loci plot to determine the range of controller gains over which the system is stable. (c) Determine the value of the controller gain such that the dominant complex roots have a damping ratio of 0.5.
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