  Most autonomous navigation systems assume wheeled robots are rigid bodies and
their 2D planar workspaces can be divided into free spaces and obstacles.
However, recent wheeled mobility research, showing that wheeled platforms have
the potential of moving over vertically challenging terrain (e.g., rocky
outcroppings, rugged boulders, and fallen tree trunks), invalidate both
assumptions. Navigating off-road vehicle chassis with long suspension travel
and low tire pressure in places where the boundary between obstacles and free
spaces is blurry requires precise 3D modeling of the interaction between the
chassis and the terrain, which is complicated by suspension and tire
deformation, varying tire-terrain friction, vehicle weight distribution and
momentum, etc. In this paper, we present a learning approach to model wheeled
mobility, i.e., in terms of vehicle-terrain forward dynamics, and plan
feasible, stable, and efficient motion to drive over vertically challenging
terrain without rolling over or getting stuck. We present physical experiments
on two wheeled robots and show that planning using our learned model can
achieve up to 60% improvement in navigation success rate and 46% reduction in
unstable chassis roll and pitch angles.
