Model identification algorithm

PID Tuner Forum Forums General PID Discussion Model identification algorithm

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  • #89
    AppleD
    Participant

    Hi,

    What identification algorithm have you used to identify the control plant? I am especially interested in the methods of estimating time-delays connected with the particular models.

    Regards!

    #90
    pidtuner
    Keymaster

    Hi,

    Thank you for your interest. The identification algorithm uses this solution:

    https://math.stackexchange.com/questions/1428566/fit-sum-of-exponentials/3808325#3808325

    Basically consists in integrating the inputs and outputs of the system (according to the desired model order) and then solving a couple of (linear) least squares problems.

    The delay in nonlinear, so given that the (linear) least squares problems are “relatively cheap”, the delay is calculated by brute force initially using a grid of values. Then refinement is made using a simple newton method.

    Hope this is helpful.

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