7 research outputs found
On Time Optimization of Centroidal Momentum Dynamics
Recently, the centroidal momentum dynamics has received substantial attention
to plan dynamically consistent motions for robots with arms and legs in
multi-contact scenarios. However, it is also non convex which renders any
optimization approach difficult and timing is usually kept fixed in most
trajectory optimization techniques to not introduce additional non convexities
to the problem. But this can limit the versatility of the algorithms. In our
previous work, we proposed a convex relaxation of the problem that allowed to
efficiently compute momentum trajectories and contact forces. However, our
approach could not minimize a desired angular momentum objective which
seriously limited its applicability. Noticing that the non-convexity introduced
by the time variables is of similar nature as the centroidal dynamics one, we
propose two convex relaxations to the problem based on trust regions and soft
constraints. The resulting approaches can compute time-optimized dynamically
consistent trajectories sufficiently fast to make the approach realtime
capable. The performance of the algorithm is demonstrated in several
multi-contact scenarios for a humanoid robot. In particular, we show that the
proposed convex relaxation of the original problem finds solutions that are
consistent with the original non-convex problem and illustrate how timing
optimization allows to find motion plans that would be difficult to plan with
fixed timing.Comment: 7 pages, 4 figures, ICRA 201
Whole-Body MPC and Online Gait Sequence Generation for Wheeled-Legged Robots
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.Comment: 8 pages, 6 figures, 1 table, 52 references, 9 equation