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4:32 PM
3V motor and some kind of single-chip PWM + speed control part would be great. If you can fit it in your budget, TI has some low-cost, low-current single-chip motor controllers IIRC, that do the PWM, back-EMF readout (including readout of measured speed via SPI, I believe), and even bells and whistles like motor speed ramping.

Next choice, 3V motor, PWM for speed control, and back-EMF

That is unless your device has a boost convertor already used for something else, and you have an underutilized 6V / 9V rail with power to spare :-)
 
4:45 PM
@NickAlexeev Hmm, I can't identify the TI parts for this. However, ST has the STSPIN250 etc, which seem suitable: st.com/content/dam/technology-tour-2017/…
 
5:07 PM
Perhaps this one from TI might fit your requirement: ti.com/lit/ds/symlink/drv10964.pdf
 

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