build 2V reference with 100mA output
simulate this circuit &ndash; Schematic created using CircuitLab

This should do the trick. Be sure to use an op amp that has a max output offset voltage of 2mV. This may also be unstable, so don't use it for mass production before you do some analysis.

edit:
I was bored so I made a full design.





(100mA - 500mA load step)



Phase margin and gain margin. I targeted a crossover frequency of 100kHz (I have no idea what your requirements are, but a design at 1MHz crossover frequency is probably possible using this op amp.)