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Control system miscellaneous

  1. The measurement system shown in the figure uses three sub-systems in cascade whose gains are
    specified as G1,G2 and
    1
    G3

    The relative small errors associated with each respective subsystem G1 , G2 and G3 are ε1 , ε2 and ε3. The error associated with the output is
    1. ε1 + ε2 +
      1
      ε3
    2. ε1 . ε2
      ε3
    3. ε1 + ε2 - ε3
    4. ε1 + ε2 + ε3
Correct Option: D

The relative error of product or division of different quantities is equal to the sum of relative errors of individual quantities.



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