Model identification algorithm

[AppleD]

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!

[pidtuner]

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.

[Author]

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