Approximating Differential Equation on the Basis of Measured Values, not
physical derivation.

When starting up technical systems one can utilize a plant step transfer
function for getting data like (x = time, decimal commas)

x y

0 0 0,087 0,001 0,174 0,011 0,262 0,066 0,349 0,158 0,436 0,289 0,524 0,415 0,611 0,560 0,698 0,661 0,786 0,764 0,873 0,834 0,961 0,895 1,048 0,922 1,135 0,956 1,223 0,968 1,310 0,988 1,397 0,978 1,485 0,998 1,572 0,994 1,660 1,004 1,747 0,994 1,834 1,003 1,922 0,994 2,009 1,001 2,096 0,996 2,184 1,000 2,271 0,994 2,359 1,001 2,446 0,990 2,533 1,000

I searched the internet for getting the appropriate differential equation, e.g.

F(s)=(T*s +1)^n

or

A3

and could'nt find a website.

T=? n=?

or

A1=? A2=? A3=?

Can someone provide the solution for comparison under the condition

n<=3

?

TIA

When starting up technical systems one can utilize a plant step transfer

x y

0 0 0,087 0,001 0,174 0,011 0,262 0,066 0,349 0,158 0,436 0,289 0,524 0,415 0,611 0,560 0,698 0,661 0,786 0,764 0,873 0,834 0,961 0,895 1,048 0,922 1,135 0,956 1,223 0,968 1,310 0,988 1,397 0,978 1,485 0,998 1,572 0,994 1,660 1,004 1,747 0,994 1,834 1,003 1,922 0,994 2,009 1,001 2,096 0,996 2,184 1,000 2,271 0,994 2,359 1,001 2,446 0,990 2,533 1,000

I searched the internet for getting the appropriate differential equation, e.g.

F(s)=(T*s +1)^n

or

A3

***y''' + A2***y'' + A1*y' + y = 1and could'nt find a website.

T=? n=?

or

A1=? A2=? A3=?

Can someone provide the solution for comparison under the condition

n<=3

?

TIA

--

Regards/Grüße http://home.arcor.de/janch/janch/menue.htm

Jan C. Hoffmann eMail aktuell: snipped-for-privacy@nospam.arcornews.de

Regards/Grüße http://home.arcor.de/janch/janch/menue.htm

Jan C. Hoffmann eMail aktuell: snipped-for-privacy@nospam.arcornews.de

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