If you look at “PI controller” block’s dialog box, you can see that compensator formula is:
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Given the value of “P = 3.15” and “I = 2.6” would generate the compensator as:
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But the desired compensator is:
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To obtain the above result use, “P = 3.15” and “I = 3.15/2.6”.
Here is an image with correct configurations:
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You can refer to the following MathWorks documentation for more information on "PI Controller" block: