Can I use a range when I estimate coefficients to fit given solution with grey box estimation?

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Merel Molenaar
Merel Molenaar 2022-1-26
编辑： Widagdo Purbowaskito 2022-3-15
Hi all,
When I'm estimating coefficients of ODEs to fit given solution, I sometimes get crazy estimations when I change the startvalues. Is it by any chance possible to give a range in which the estimations should be?
Suppose I'm estimating gravity, I could for example say that it should be between 8 and 11.
(the procedure I'm using: https://nl.mathworks.com/help/ident/ug/estimating-coefficients-of-odes-to-fit-given-solution.html)
Thanks in advance!

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回答（1 个）

Widagdo Purbowaskito
编辑：Widagdo Purbowaskito 2022-3-15
Yes you can do that.
First you need to set your inital system through idgrey function, init_sys = idgrey(odefun,parameters,fcn_type,extra_args,Ts);
Then, you can set your parameters boundaries: init_sys.Structure.Parameters.Minimum(1) = 8; init_sys.Structure.Parameters.Maximum(1) = 11;
This will depends on how many parameters you want to set the boundary.

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