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TMS320F280049: Difference between Direct Form 1 - Third order and Direct Form 2 - Third order

Part Number: TMS320F280049

Champs,

In C2000 Digital Control Library, DCL 3.1, there are Direct Form 1 - Third order (DF13) and Direct Form 2 - Third order (DF23).

I am confused with them because their difference equations seem same.

u(k) = bo*e(k)+b1*e(k-1)+b2*e(k-2)+b3*e(k-3)-a1*u(k-1)-a2*u(k-2)-a3*u(k-3)

Are they just functionally same but with different implementation of codes?

In order digital power library, we have 3-pole-3-zero codes (CNTL_3P3Z : Three Pole Three Zero Controller).

Which direct form is CNTL_3P3Z in? DF13 or DF23?

Some customers are interested in 3-pole-3-zero compensators for digital power controllers.

Which direct form should they use? DF13 or DF23?

Wayne Huang