Optimization-based control for dynamic legged robots

PM Wensing, M Posa, Y Hu, A Escande… - IEEE Transactions …, 2023 - ieeexplore.ieee.org
In a world designed for legs, quadrupeds, bipeds, and humanoids have the opportunity to
impact emerging robotics applications from logistics, to agriculture, to home assistance. The …

A unified perspective on multiple shooting in differential dynamic programming

H Li, W Yu, T Zhang… - 2023 IEEE/RSJ …, 2023 - ieeexplore.ieee.org
Differential Dynamic Programming (DDP) is an efficient computational tool for solving
nonlinear optimal control problems. It was originally designed as a single shooting method …

Contact-implicit mpc: Controlling diverse quadruped motions without pre-planned contact modes or trajectories

G Kim, D Kang, JH Kim, S Hong, HW Park - arXiv preprint arXiv …, 2023 - arxiv.org
This paper presents a contact-implicit model predictive control (MPC) framework for the real-
time discovery of multi-contact motions, without predefined contact mode sequences or …

Proxddp: Proximal constrained trajectory optimization

W Jallet, A Bambade, E Arlaud, S El-Kazdadi… - 2023 - inria.hal.science
Trajectory optimization (TO) has proven, over the last decade, to be a versatile and effective
framework for robot control. Several numerical solvers have been demonstrated to be fast …

Cafe-mpc: A cascaded-fidelity model predictive control framework with tuning-free whole-body control

H Li, PM Wensing - arXiv preprint arXiv:2403.03995, 2024 - arxiv.org
This work introduces an optimization-based locomotion control framework for on-the-fly
synthesis of complex dynamic maneuvers. At the core of the proposed framework is a …

On discrete symmetries of robotics systems: A group-theoretic and data-driven analysis

D Ordonez-Apraez, M Martin, A Agudo… - arXiv preprint arXiv …, 2023 - arxiv.org
We present a comprehensive study on discrete morphological symmetries of dynamical
systems, which are commonly observed in biological and artificial locomoting systems, such …

On second-order derivatives of rigid-body dynamics: Theory & implementation

S Singh, RP Russell… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Model-based control for robots has increasingly depended on optimization-based methods,
such as differential dynamic programming (DDP) and iterative LQR (iLQR). These methods …

Reference-Free Model Predictive Control for Quadrupedal Locomotion

G Lunardi, T Corbères, C Mastalli, N Mansard… - IEEE …, 2023 - ieeexplore.ieee.org
Full-dynamics model predictive control (MPC) has recently been applied to quadrupedal
locomotion in semi-unstructured environments. These advances have been fueled by the …

Morphological symmetries in robotics

D Ordoñez-Apraez, G Turrisi, V Kostic, M Martin… - arXiv preprint arXiv …, 2024 - arxiv.org
We present a comprehensive framework for studying and leveraging morphological
symmetries in robotic systems. These are intrinsic properties of the robot's morphology …

Nonlinear Model Predictive Control of a 3D Hopping Robot: Leveraging Lie Group Integrators for Dynamically Stable Behaviors

N Csomay-Shanklin, VD Dorobantu… - … on Robotics and …, 2023 - ieeexplore.ieee.org
Achieving stable hopping has been a hallmark challenge in the field of dynamic legged
locomotion. Controlled hopping is notably difficult due to extended periods of under …