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Related papers: Bipedal locomotion using geometric techniques

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The paper proposes an efficient algebraic solution to the problem of forward kinematics for a general Stewart-Gough platform. The problem involves determining all possible postures of a mobile platform connected to a fixed base by six legs,…

Robotics · Computer Science 2025-09-09 Evgeniy Martyushev

Serial robot arms have complicated kinematic equations which must be solved to write effective arm planning and control software (the Inverse Kinematics Problem). Existing software packages for inverse kinematics often rely on numerical…

Robotics · Computer Science 2017-12-08 Dianmu Zhang , Blake Hannaford

This paper presents an online framework for synthesizing agile locomotion for bipedal robots that adapts to unknown environments, modeling errors, and external disturbances. To this end, we leverage step-to-step (S2S) dynamics which has…

Robotics · Computer Science 2023-08-08 Min Dai , Xiaobin Xiong , Jaemin Lee , Aaron D. Ames

Algorithms for the computation of geodesics on an ellipsoid of revolution are given. These provide accurate, robust, and fast solutions to the direct and inverse geodesic problems and they allow differential and integral properties of…

Geophysics · Physics 2013-01-08 Charles F. F. Karney

Deep reinforcement learning (RL) based controllers for legged robots have demonstrated impressive robustness for walking in different environments for several robot platforms. To enable the application of RL policies for humanoid robots in…

Robotics · Computer Science 2022-11-01 Rohan Pratap Singh , Mehdi Benallegue , Mitsuharu Morisawa , Rafael Cisneros , Fumio Kanehiro

We study the problem of realizing the full spectrum of bipedal locomotion on a real robot with sim-to-real reinforcement learning (RL). A key challenge of learning legged locomotion is describing different gaits, via reward functions, in a…

Robotics · Computer Science 2021-03-12 Jonah Siekmann , Yesh Godse , Alan Fern , Jonathan Hurst

Finding the inverse of a matrix is an open problem especially when it comes to engineering problems due to their complexity and running time (cost) of matrix inversion algorithms. An optimum strategy to invert a matrix is, first, to reduce…

Model-based control usually relies on an accurate model, which is often obtained from CAD and actuator models. The more accurate the model the better the control performance. However, in bipedal robots that demonstrate high agility actions,…

Robotics · Computer Science 2021-07-27 Bolun Dai

Wheeled bipedal robots have garnered increasing attention in exploration and inspection. However, most research simplifies calculations by ignoring leg dynamics, thereby restricting the robot's full motion potential. Additionally, robots…

Robotics · Computer Science 2025-11-11 Cong Wen , Yunfei Li , Kexin Liu , Yixin Qiu , Xuanhong Liao , Tianyu Wang , Dingchuan Liu , Tao Zhang , Ximin Lyu

Motion planning schemes are used for planning motions of a manipulator from an initial pose to a final pose during a task execution. A motion planning scheme generally comprises of a trajectory planning method and an inverse kinematic…

Robotics · Computer Science 2025-12-04 Shifa Sulaiman , Amarnath H , Simon Bogh , Naresh Marturi

We present general algorithms (fully implemented in Maple) for calculations of various quantities related to constrained directed walks for a general set of steps on the square lattice in two dimensions. As a special case, we rederive…

Statistical Mechanics · Physics 2020-06-16 Arvind Ayyer , Doron Zeilberger

The computation of tunes and matched beam distributions are essential steps in the analysis of circular accelerators. If certain symmetries - like midplane symmetrie - are present, then it is possible to treat the betatron motion in the…

Mathematical Physics · Physics 2013-07-17 Christian Baumgarten

We present a unified approach for constraint displacement problems in which a robot finds a feasible path by displacing constraints or obstacles. To this end, we propose a two stage process that returns locally optimal obstacle…

Robotics · Computer Science 2025-11-18 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

We show that the inverse problems for a class of kinetic equations can be solved by classical tools in PDE analysis including energy estimates and the celebrated averaging lemma. Using these tools, we give a unified framework for the…

Analysis of PDEs · Mathematics 2020-04-22 Qin Li , Weiran Sun

We solve a difficult problem involving velocity and acceleration components along oblique axes, and propose two problems of central force motion to be solved using oblique axes.

Physics Education · Physics 2007-05-23 Oscar Bolina

In this paper, with a view toward deployment of light-weight control frameworks for bipedal walking robots, we realize end-foot trajectories that are shaped by a single linear feedback policy. We learn this policy via a model-free and a…

The importance of humanoid robots in today's world is undeniable, one of the most important features of humanoid robots is the ability to maneuver in environments such as stairs that other robots can not easily cross. A suitable algorithm…

Robotics · Computer Science 2023-01-03 Aref Amiri , Hassan Salarieh

In this paper, we propose a novel framework for synthesizing a single multimodal control policy capable of generating diverse behaviors (or modes) and emergent inherent transition maneuvers for bipedal locomotion. In our method, we first…

Robotics · Computer Science 2023-08-15 Lokesh Krishna , Quan Nguyen

Wheeled-legged robots have the potential for highly agile and versatile locomotion. The combination of legs and wheels might be a solution for any real-world application requiring rapid, and long-distance mobility skills on challenging…

Robotics · Computer Science 2020-02-07 Marko Bjelonic , Prajish K. Sankar , C. Dario Bellicoso , Heike Vallery , Marco Hutter

In this paper, we present a novel control architecture for the online adaptation of bipedal locomotion on inclined obstacles. In particular, we introduce a novel, cost-effective, and versatile foot sensor to detect the proximity of the…