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Control SystemsRoot Locus

For an open-loop transfer function with n poles and m finite zeros, where n>m, the angles of root-locus asymptotes are given by?

  • A(2q+1)180°/(n-m)
  • B2q×180°/(n+m)
  • Cq×90°/n
  • D180°/(n+m) only
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Correct Answer: A. (2q+1)180°/(n-m)
Explanation: Root-locus asymptote angles are θq=(2q+1)180°/(n-m), q=0,1,...,n-m-1.
Reference: Standard control systems: root locus
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