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## Main Question or Discussion Point

Hello

I have a mathematical dilemma. How can the following transfer function be simplified:

[itex]\frac{s^{2}+1}{s+1}[/itex]

in order to be able to have a 1st order nominator, maximum, compared to the denominator. But what if there is s^2(/<1...∞>) ? Is this possible?

I know that the following can be done:

[itex]\frac{s^{2}+2*s+3}{s^{2}+s+1} → \frac{s+2}{s^{2}+s+1}+1[/itex]

but I don't know for the others above. I hope I managed to transmit the message I wanted, if not, blame my English. Can anyone help?

Anticipated thanks,

Vlad

I have a mathematical dilemma. How can the following transfer function be simplified:

[itex]\frac{s^{2}+1}{s+1}[/itex]

in order to be able to have a 1st order nominator, maximum, compared to the denominator. But what if there is s^2(/<1...∞>) ? Is this possible?

I know that the following can be done:

[itex]\frac{s^{2}+2*s+3}{s^{2}+s+1} → \frac{s+2}{s^{2}+s+1}+1[/itex]

but I don't know for the others above. I hope I managed to transmit the message I wanted, if not, blame my English. Can anyone help?

Anticipated thanks,

Vlad