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Can Transfer Function Include Distrubance Variables?

  1. Dec 12, 2016 #1
    1. The problem statement, all variables and given/known data
    Problem statement is attached......

    2. Relevant equations

    my attempt at solution is also attached...

    3. The attempt at a solution
    One of my assumptions was to treat the inlet concentration as a disturbance variable, and inlet flow rate as a manipulated variable......However, as I try to solve for the transfer function, it is becoming highly complicated. I am having to linearize the differential mass balance first. Some of my peers said they avoided this by not including disturbance variables in the transfer function. Which approach is correct?

    Attached Files:

  2. jcsd
  3. Dec 18, 2016 #2


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    Please, can you provide a block diagram of the sysytem you are trying to analyze?
    In this case, it would be much easier to help you.
    Preliminary answer: A transfer function is the output-to-input ratio with input=desired signal input (setting all disturbances to zero).
    As a second function you can set the signal input to zero and find the "disturbance transfer function",
    A disturbed system always has at least two transfer functions: (a) signal and (b) disturbance.
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