transfer function of sqrt of s
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how can i write a simulink model where my transfer function is 1/(sqrt(s)+a) where a is just some constant.
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Answers (2)
Mike Borrello
on 29 Apr 2014
But wait ... mathematically it is possible! The transfer function is indeed valid! I assume this transfer function was derived from an assumed infinite element network model. The issue is implementation. You need to approximate the square root of s as a series and decide where to cutoff the series as your approximation to the square root. The expression then becomes a high order rational transfer function in s which is linear and which then can be handled by Matlab and Simulink tools.
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Daniel
on 20 Jun 2015
How exactly would you approximate it? Can you please provide a sample series approximation?
Walter Roberson
on 20 Jun 2015
and be sure to read the next page in the site for the case where abs(x) > 1, which implies you would need to split into two cases, one for abs(x) <= 1 and the other for abs(x) > 1
Paul
on 5 Mar 2014
This is not possible since it's an invalid transfer function. You should be able to write the tf in terms of s^3, s^2, s etc, which is not possible in this case. Normally you would be able to calculate the tf in Matlab by doing:
s = tf('s')
TF = 1/(sqrt(s)+1)
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