TMS320F280049C: What are the tranfer functions used for?

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Part Number: TMS320F280049C

Hi,

Recently I got an application report as to the BUCK converter and I'm now preparing for the Digital Power Development. I went through it and have some questions as to the transfer function and need your help badly.

https://www.ti.com.cn/cn/lit/an/spraab3/spraab3.pdf?ts=1715024944669

According to the parameters of this DC-DC controller design, the corresponding small signal power stage model of the buck converter in s-domain is derived as,

I can't understand how the corresponding analog controller Gc1(s) is derived, as shown below. Is it generated in the MATLAB?

By the way, what steps do I need to follow to develop a digital compensator? For example, a BUCK converter with two poles and two zeros.

Thank you and I'm looking forward to hearing from you.

Best regards,

Power Wang

over 1 year ago

0 Shamim Choudhury over 1 year ago

TI__Genius 11945 points

Use Matlab SISOTOOL to design the controller.

You start with the model of the plant(the dc/dc converter power stage). Use the SISOTOOL to plot that power stage bode plot.

Then add poles, zeros and gain to design the controller. You can use whatever controller you like (1p1z, 2p2z, 3p3z etc)

Then look at the loop gain bode plot.

If this loop gain bode plot looks stable control loop then use the tool to get the transfer function of the designed controller.

0 ? ? over 1 year ago in reply to Shamim Choudhury

Prodigy 110 points

Thank you very much.

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TMS320F280049C: What are the tranfer functions used for?