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Optimizing gait stability for legged robots is a difficult problem. Even on level surfaces, effectively traversing across different textures (e.g., carpet) rests on dynamically tuning parameters in multidimensional space. Inspired by…

Robotics · Computer Science 2022-03-31 Jack Vice , Gita Sukthankar , Pamela K. Douglas

We derive global estimates for the error in solutions of linear hyperbolic systems due to inaccurate boundary geometry. We show that the error is bounded by data and bounded in time when the solutions in the true and approximate domains are…

Numerical Analysis · Mathematics 2025-03-27 David A. Kopriva , Andrew R. Winters , Jan Nordström

Gait phase-based control is a trending research topic for walking-aid robots, especially robotic lower-limb prostheses. Gait phase estimation is a challenge for gait phase-based control. Previous researches used the integration or the…

Robotics · Computer Science 2022-08-02 Xinxing Chen , Chuheng Chen , Yuxuan Wang , Bowen Yang , Teng Ma , Yuquan Leng , Chenglong Fu

When a gait of a bipedal robot is developed using deep reinforcement learning, reference trajectories may or may not be used. Each approach has its advantages and disadvantages, and the choice of method is up to the control developer. This…

Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among many complex systems in science and engineering. The existence of a strange attractor in the turbulent…

Fluid Dynamics · Physics 2018-02-23 Andrew J. Majda , Di Qi

This paper presents a Q-learning framework for learning optimal locomotion gaits in robotic systems modeled as coupled rigid bodies. Inspired by prevalence of periodic gaits in bio-locomotion, an open loop periodic input is assumed to (say)…

Systems and Control · Electrical Eng. & Systems 2019-10-02 Tixian Wang , Amirhossein Taghvaei , Prashant G. Mehta

We study the disruption process of hierarchical 3-body systems with bodies of comparable mass. Such systems have long survival times that vary by orders of magnitude depending on the initial conditions. By comparing with 3-body numerical…

Solar and Stellar Astrophysics · Physics 2020-09-08 Jonathan Mushkin , Boaz Katz

Dynamic locomotion in rough terrain requires accurate foot placement, collision avoidance, and planning of the underactuated dynamics of the system. Reliably optimizing for such motions and interactions in the presence of imperfect and…

Robotics · Computer Science 2022-08-18 Ruben Grandia , Fabian Jenelten , Shaohui Yang , Farbod Farshidian , Marco Hutter

The biomechanics of the human body gives subjects a high degree of freedom in how they can execute movement. Nevertheless, subjects exhibit regularity in their movement patterns. One way to account for this regularity is to suppose that…

Quantitative Methods · Quantitative Biology 2018-12-11 Stuart Hagler

Pose estimation is a widely explored problem, enabling many robotic tasks such as grasping and manipulation. In this paper, we tackle the problem of pose estimation for objects that exhibit rotational symmetry, which are common in man-made…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Enric Corona , Kaustav Kundu , Sanja Fidler

This work presents Neural Gaits, a method for learning dynamic walking gaits through the enforcement of set invariance that can be refined episodically using experimental data from the robot. We frame walking as a set invariance problem…

Robotics · Computer Science 2022-04-19 Ivan Dario Jimenez Rodriguez , Noel Csomay-Shanklin , Yisong Yue , Aaron D. Ames

The study of biomechanics during locomotion provides valuable insights into the effects of varying conditions on specific movement patterns. This research focuses on examining the influence of different shoe parameters on walking…

Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system analysis, design of mathematical models, or construction of…

Dynamical Systems · Mathematics 2026-01-05 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

Gait phase estimation based on inertial measurement unit (IMU) signals facilitates precise adaptation of exoskeletons to individual gait variations. However, challenges remain in achieving high accuracy and robustness, particularly during…

Robotics · Computer Science 2025-06-19 Yuanlong Ji , Xingbang Yang , Ruoqi Zhao , Qihan Ye , Quan Zheng , Yubo Fan

While modular robots offer versatility, excessive joint torque during locomotion poses a significant risk of mechanical failure, especially for detachable joints. To address this, we propose an optimization framework using the NSGA-III…

Robotics · Computer Science 2026-03-06 Kennosuke Chihara , Takuya Kiyokawa , Kensuke Harada

We generalize the well-studied problem of gait learning in modular robots in two dimensions. Firstly, we address locomotion in a given target direction that goes beyond learning a typical undirected gait. Secondly, rather than studying one…

Neural and Evolutionary Computing · Computer Science 2020-01-23 Gongjin Lan , Matteo De Carlo , Fuda van Diggelen , Jakub M. Tomczak , Diederik M. Roijers , A. E. Eiben

Worm-inspired robots provide an effective locomotion strategy for constrained environments by combining cyclic body deformation with alternating anchoring. For compliant robots, however, the interaction between deformable anchoring…

Robotics · Computer Science 2026-04-15 Xinyu Zhou , Yu Mei , Faith Thomson , Christian Luedtke , Xinda Qi , Xiaobo Tan

In the last two decades, significant effort has been put in understanding and designing so-called structure-preserving numerical methods for the simulation of mechanical systems. Geometric integrators attempt to preserve the geometry…

Numerical Analysis · Mathematics 2018-10-26 David Martín de Diego , Rodrigo T. Sato Martín de Almagro

Locomotion robots with active or passive compliance can show robustness to uncertain scenarios, which can be promising for agricultural, research and environmental industries. However, state estimation for these robots is challenging due to…

Robotics · Computer Science 2025-10-02 Valentin Yuryev , Max Polzin , Josie Hughes

Many microorganisms swim in fluids with complex rheological properties. Although much is now understood about motion of these swimmers in Newtonian fluids, the understanding is still developing in non-Newtonian fluids --- this understanding…

Fluid Dynamics · Physics 2019-03-22 Charu Datt , Gwynn J. Elfring