I suspect (based on vague fourth hand knowledge of the difficulties engineers have had getting brake assisted steering to work on race cars) that the differential/braking/steering would be very time intensive to get right.
A possible alternative would be to have two hand pumps, each driving one wheel.
Another alternative, especially since cannibalized bikes are going to be a major source of components, would be to change gears to turn (difference in gear ratios for left/right wheels determining turning circle). This would also allow for programming the path of the vehicle (automated gear changes based on distance traveled and/or GPS).
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A possible alternative would be to have two hand pumps, each driving one wheel.
Another alternative, especially since cannibalized bikes are going to be a major source of components, would be to change gears to turn (difference in gear ratios for left/right wheels determining turning circle). This would also allow for programming the path of the vehicle (automated gear changes based on distance traveled and/or GPS).