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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?
     

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  2. jcsd
  3. Dec 18, 2016 #2

    LvW

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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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