How to measure the steady state amplitude of a control system output

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Michael Sohnen 2021-3-7

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评论： Michael Sohnen 2021-3-9

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Dear Matlab Answers,

Hello. I have included below an image concerning my problem

Here I have a sinusoidal weaveform that has an initial transient then settles to a steady state amplitude. It looks odd ebcause the plot is so dense, but the data is all sinsoidal with a transient offset. The data is represented as an array of time points and an array of ampltiude points. (tout and Y). How can I write an algorithm to detect when the transient is complete and return the final steady state amplitude? Technically, this is not only a MATLAB question, but a solution written in MATLAB code is preffered.

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Pat Gipper 2021-3-8

The frequency of the injected signal is under control of the app. If that is not the case then you would need to use some form of a spectrum analyzer.

Michael Sohnen 2021-3-9

@Paul Dear Paul, thank you for your comment. Thank you to other commenters as well. I need to be able to analyuze the data WITHOUT ACCESS TO THE INPUT SIGNAL, and WITHOUT ACCESS TO THE SIMULINK MODEL. I need to find a statistical approach. I am basically looking for an algorithm that can seperate the transient from the steady state component in ANY signal, knowing that the steady state is some sinusoid of a singe frequency.

I basically want to high pass filter my signal, then measure the amplitude using (max(data)-min(data))/2. How can I do a high pass filter on a signal in MATLAB given only data?

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Michael Sohnen 2021-3-9

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I figured it out. If you have some idea of what frequencies will be present in the signal, just use the highpass command. In my problem, I know the exact sampling rate, so it works. I highpass the data with a lower cutoff of 1 hertz and then measure the amplitude using max and min.

Thanks all.

Best,

Mike

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Paul 2021-3-9

If your system is "far from LTI" then there is no guarantee, in general, that the steady state output is a single sinusoid. So you have to have some idea about what's going on inside the system and what the output should be.

Good luck. Go Panthers!

Michael Sohnen 2021-3-9

Good luck to you too!

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