How drive power supply with TL431 over voltage on different voltage level?

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carpenter

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My question

I have a source (on picture V1) this PS is controlled by TL431 U1 (over optron on picture insinuate LED1).
Output voltage V1 was originally driver by potentiometer on position R4.

I need to modify the source so that the controllable by voltage. My idea is support lower side of R4 over voltage 0-2,5V (on picture insinuate V5)
Where is the problem?

All control electronics, including MCU and DAC is powered from V2, which is ground in the positive branch V1.
The question is how the simplest by voltage derived from V2 (0-2.5V DAC) drive V1, preferably by drive voltage source V5?

 

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