why do I suddenly get a gain value in my transfer function?

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Matt Mad 2021-12-1

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https://ww2.mathworks.cn/matlabcentral/answers/1600399-why-do-i-suddenly-get-a-gain-value-in-my-transfer-function

评论： Matt Mad 2021-12-1

采纳的回答： Jon

this is my transfer function:

x=s/[(2*s^2)+(3*s)+1]

when I tried to obtained the zeros and poles value by using zpk function suddenly I got a gain value.

any advice will be much appreciated. thank you in advance

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Jon 2021-12-1

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https://ww2.mathworks.cn/matlabcentral/answers/1600399-why-do-i-suddenly-get-a-gain-value-in-my-transfer-function#answer_844994

Your original expression and the one found by zpk are the same. zpk just factored out the 2 from denominator.

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Jon 2021-12-1

Note that 1/(2s^2 + 3s + 1) = 1/(2*(s^2 + 1.5s + 0.5), which equals, 0.5/(s^2 + 1.5s + 0.5). So you also have a gain of 0.5 in your original expession

Matt Mad 2021-12-1

Thanks. My mistake I didn't noticed that

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