What does the scale setting exactly signify in the "Reordering and Scaling of Second-Order Sections" window of FDATool?

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MathWorks Support Team 2009-6-27

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https://ww2.mathworks.cn/matlabcentral/answers/102488-what-does-the-scale-setting-exactly-signify-in-the-reordering-and-scaling-of-second-order-sections

I would like to get some clarification on the Scale settings in the "Reordering and Scaling of Second-Order Sections" window of FDATool. I read the documentation, but the documentation is not clear on some of the terms.

For the Numerator Constraint, what is the difference between "Normalize", "Unit" and "None"?

For the Scale Value Constraint, what is the difference between "Unit" and "None"?

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Answer 1

MathWorks Support Team 2009-6-27

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https://ww2.mathworks.cn/matlabcentral/answers/102488-what-does-the-scale-setting-exactly-signify-in-the-reordering-and-scaling-of-second-order-sections#answer_111834

The current documentation on the Reordering and Scaling of Second-Order Sections options is incomplete in the manual. Here is additional information on these options:

For the Numerator Constraint:

"Normalize" - the maximum absolute value of the numerator is forced to be equal to the "Maximum Numerator" value. For all others constraints "Maximum Numerator" is just an upper limit over which coefficients are clipped.

"Unit" - the leading coefficient of each numerator is forced to 1.

"None" - no constraint on the numerator coefficients other than being lower than the "Maximum Numerator" value.

For the Scale Value Constraint:

"Unit" - all scale values (except the last one) are forced to 1. (Notice that the first scale value of df2sos and df1tsos can not be constrained either)

"None" - scale values can take any value up to the "Max Scale Value".