  Our paper proposes a model predictive controller as a single-task formulation
that simultaneously optimizes wheel and torso motions. This online joint
velocity and ground reaction force optimization integrates a kinodynamic model
of a wheeled quadrupedal robot. It defines the single rigid body dynamics along
with the robot's kinematics while treating the wheels as moving ground
contacts. With this approach, we can accurately capture the robot's rolling
constraint and dynamics, enabling automatic discovery of hybrid maneuvers
without needless motion heuristics. The formulation's generality through the
simultaneous optimization over the robot's whole-body variables allows for a
single set of parameters and makes online gait sequence adaptation possible.
Aperiodic gait sequences are automatically found through kinematic leg
utilities without the need for predefined contact and lift-off timings,
reducing the cost of transport by up to 85%. Our experiments demonstrate
dynamic motions on a quadrupedal robot with non-steerable wheels in challenging
indoor and outdoor environments. The paper's findings contribute to evaluating
a decomposed, i.e., sequential optimization of wheel and torso motion, and
single-task motion planner with a novel quantity, the prediction error, which
describes how well a receding horizon planner can predict the robot's future
state. To this end, we report an improvement of up to 71% using our proposed
single-task approach, making fast locomotion feasible and revealing
wheeled-legged robots' full potential.
