Help with Inverse Laplace Transform Function

Question

Zachariah Ingram 2017-10-17

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https://ww2.mathworks.cn/matlabcentral/answers/361774-help-with-inverse-laplace-transform-function

回答： Walter Roberson 2017-10-26

If I run the following code, I get an answer.

 n = 5; 
ku = 1; 
syms s; 
HDs = (ku^n)/(s*(ku+s)^n);
sim_data = ilaplace(HDs,s,0.1);

sim_data = 1 - (265241*exp(-1/10))/240000;

However, if n is a decimal, such as 5.1, the inverse laplace function doesn't work.

   n = 5.1; 
     ku = 1; 
     syms s 
     HDs = (ku^n)/(s*(ku+s)^n)
     sim_data = ilaplace(HDs,s,0.1)

sim_data = ilaplace(1/(s*(s + 1)^(51/10)), s, 1/10)

I need to be able to calculate the inverse laplace transform for decimal values of n. Please help.

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Answer 1

Aveek Podder 2017-10-26

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https://ww2.mathworks.cn/matlabcentral/answers/361774-help-with-inverse-laplace-transform-function#answer_287797

Hi,

The ilaplace function computes the analytic closed inverse Laplace form of a transfer function. It seems that mathematically a closed inverse Laplace form for this function cannot be found out, so ilaplace function is returning the input transfer function.

There is a community submission at MathWorks File Exchange which numerically approximates an inverse Laplace transform for any function of "s". I will encourage you to have a look at the submission. However, in case you have any query regarding the submission you have to get in touch with the owner of the submission.

https://www.mathworks.com/matlabcentral/fileexchange/39035-numerical-inverse-laplace-transform/