Guys,
No, that is not what I want - What I want to do is remove the temptation to ruin batteries by trying to constantly have one (or a small handful) charged up to above 8 volts at the start of each/all matches.
I am not trying to either encourage or discourage using closed-loop feedback to control motor speed over a range of possible values. That is a separate topic.
I am suggesting eliminating the TOP speed advantage a robot gets (running its motors as fast as possible) when it uses a battery that can offer >8 Volts (open circuit); when the robot using that battery plays a match against a robot from a team that can’t afford to buy enough batteries to field a new/different battery each match, and/or doesn’t want to degrade their battery(s) by constantly sticking them onto a charger between every match.
Right now, to the extent the batteries’ open circuit voltages are correlated to the voltages the batteries can sustain under loads, a team that can put a fully-charged, new $20 battery on the field (let’s guess at an open-circuit voltage of 8.2V) gets a noticeable speed advantage over a less well endowed team that reuses the battery that they used in the last few matches (it still has plenty of charge stored in it, but its open circuit voltage has dropped to maybe 7.3V).
Let’s assume that the speed advantage is proportional to the ratio of the batteries’ voltages, and guess that under load the voltages drop to 7.6V and 6.9V, respectively. 7.6/6.9 = 1.10 = 10% advantage to the team that could afford to buy enough batteries to have a new freshly-charged one ready for this match.
This advantage has nothing to do with speed control via a sensors and PID algorithms, or any other algorithms. The one team with the somewhat drained battery can not match the speed of the other teams robot, no matter how many sensors they use to measure that they are moving too slowly.
The point is not being able to control the motor speed across a range of possible values. The point is giving everyone the same TOP speed, regardless of whether they bring 20 batteries to a competition or 2 or 3.
Does this help put the focus back on my central motivation?
Aside from removing the speed difference described above (a difference that is bought, not designed and built), my opinion is that there would be some beneficial side-effects that would come from regulating the voltage coming out of the batteries. Those have come up in other posts. They are worth noting, but they are the “tail”, not the “dog”. Don’t let the tail wag the dog. 
Blake