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TMS320F280039: pi compensator design question

Part Number: TMS320F280039

Tool/software:

Hello, all

I design a LLC power stage digital controller, the output of the compensator is Vc, and the frequency is calculated by the following equation,

f = a - b * Vc (where a & b are constant),

Now I want to design the compensator parameters in s-domain, I shouls use f(s) = a * (1/s) - b * Vc(s)  or  f(s) = a * 1 - b * Vc(s) to do analysis?

If someone know the question, I will appreciate your help.