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TPS56339: Would this voltage controlled buck converter circuit work with TPS56339?

Part Number: TPS56339


So I'm thinking about using the PWM signal from a computer fan header to control a voltage source, in order to control 3-pin voltage-controlled fans. There has to be a voltage converter that take in 12V from the fan header, and step it down to a controllable voltage between 3 to 12V to control the fans.

There doesn't seem to be any switching converter that takes in PWM duty cycle for voltage selection, so I looked into low pass filtering the PWM signal with RC and use the resulting voltage for control, and found this article.

https://www.electronicdesign.com/power-management/article/21798148/simple-addition-permits-voltage-control-of-dcdc-converters-output

Will this work with TPS56339? How does that affect the stability of the buck converter? How linear is the relationship between the input control voltage and the output voltage?

If not, are there any alternative circuits that you can suggest for the purpose?