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How to find breakaway points in root locus

  1. May 12, 2017 #1
    1. The problem statement, all variables and given/known data
    For an exam question i need to be able to sketch the root locus of a system, for example the following: g(S) = 200(S+3) / ((S+2)(S+4)(S+6)(S+8)(S+10)
    3. The attempt at a solution
    So i counted number of poles and zeroes and calculated no. of asymtodes: p-z = 4 and calculated the centroid by: (sum of poles - sum of zeroes)/ p-z = -27/4. Then i got the angle of each asymtodes to be: -45, 45, 135 and 225 however it is the next step of actually finding the breakaway points i cant find how to calculate, would appreciate any help you can offer. Thanks
  2. jcsd
  3. May 12, 2017 #2


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