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We present a new method for motion planning for control systems. The method aims to provide a natural computational framework in which a broad class of motion planning problems can be cast; including problems with holonomic and…

Optimization and Control · Mathematics 2019-05-08 Shenyu Liu , Yinai Fan , Mohamed Ali Belabbas

Wheeled-legged robots combine the efficiency of wheeled robots when driving on suitably flat surfaces and versatility of legged robots when stepping over or around obstacles. This paper introduces a planning and control framework to realise…

Robotics · Computer Science 2020-03-10 Songyan Xin , Sethu Vijayakumar

We propose an online motion planner for legged robot locomotion with the primary objective of achieving energy efficiency. The conceptual idea is to leverage a placement set of footstep positions based on the robot's body position to…

Robotics · Computer Science 2025-06-25 Alexander Schperberg , Marcel Menner , Stefano Di Cairano

Hybrid locomotion, which combines multiple modalities of locomotion within a single robot, enables robots to carry out complex tasks in diverse environments. This paper presents a novel method for planning multi-modal locomotion…

Robotics · Computer Science 2020-08-05 H. J. Terry Suh , Xiaobin Xiong , Andrew Singletary , Aaron D. Ames , Joel W. Burdick

In this paper, we present a Riemannian Motion Policy (RMP)flow-based whole-body control framework for improved dynamic legged locomotion. RMPflow is a differential geometry-inspired algorithm for fusing multiple task-space policies (RMPs)…

Robotics · Computer Science 2023-11-07 Daniel Marew , Misha Lvovsky , Shangqun Yu , Shotaro Sessions , Donghyun Kim

In this paper we present a new approach for dynamic motion planning for legged robots. We formulate a trajectory optimization problem based on a compact form of the robot dynamics. Such a form is obtained by projecting the rigid body…

Robotics · Computer Science 2015-10-07 Diego Pardo , Michael Neunert , Alexander W. Winkler , Jonas Buchli

Traditional motion planning approaches for multi-legged locomotion divide the problem into several stages, such as contact search and trajectory generation. However, reasoning about contacts and motions simultaneously is crucial for the…

Locomotion planning for legged systems requires reasoning about suitable contact schedules. The contact sequence and timings constitute a hybrid dynamical system and prescribe a subset of achievable motions. State-of-the-art approaches cast…

Robotics · Computer Science 2019-03-12 Tim Seyde , Jan Carius , Ruben Grandia , Farbod Farshidian , Marco Hutter

Accurately modeling and predicting complex dynamical systems, particularly those involving force exchange and dissipation, is crucial for applications ranging from fluid dynamics to robotics, but presents significant challenges due to the…

Robotics · Computer Science 2025-06-24 Andrea Testa , Søren Hauberg , Tamim Asfour , Leonel Rozo

Planning whole-body motions while taking into account the terrain conditions is a challenging problem for legged robots since the terrain model might produce many local minima. Our coupled planning method uses stochastic and…

Robotics · Computer Science 2020-06-30 Carlos Mastalli , Ioannis Havoutis , Michele Focchi , Darwin G. Caldwell , Claudio Semini

The complex dynamics of agile robotic legged locomotion requires motion planning to intelligently adjust footstep locations. Often, bipedal footstep and motion planning use mathematically simple models such as the linear inverted pendulum,…

Robotics · Computer Science 2022-03-30 Kevin Green , John Warila , Ross L. Hatton , Jonathan Hurst

This work presents an extended framework for learning-based bipedal locomotion that incorporates a heuristic step-planning strategy guided by desired torso velocity tracking. The framework enables precise interaction between a humanoid…

Robotics · Computer Science 2025-12-01 William Suliman , Ekaterina Chaikovskaia , Egor Davydenko , Roman Gorbachev

This paper presents a motion planning algorithm for quadruped locomotion based on density functions. We decompose the locomotion problem into a high-level density planner and a model predictive controller (MPC). Due to density functions…

Robotics · Computer Science 2023-12-15 Sriram S. K. S Narayanan , Andrew Zheng , Umesh Vaidya

This paper presents GeoFlow-SLAM, a robust and effective Tightly-Coupled RGBD-inertial SLAM for legged robotics undergoing aggressive and high-frequency motions.By integrating geometric consistency, legged odometry constraints, and…

Robotics · Computer Science 2025-07-23 Tingyang Xiao , Xiaolin Zhou , Liu Liu , Wei Sui , Wei Feng , Jiaxiong Qiu , Xinjie Wang , Zhizhong Su

Locomotion of legged machines faces the problems of model complexity and computational costs. Algorithms based on complex models and/or reinforcement learning exist to solve the walking control task. In this project, we aim to develop a…

Robotics · Computer Science 2018-05-17 Kendeas Theofanous

Contact-based decision and planning methods are becoming increasingly important to endow higher levels of autonomy for legged robots. Formal synthesis methods derived from symbolic systems have great potential for reasoning about high-level…

Robotics · Computer Science 2022-01-04 Ye Zhao , Yinan Li , Luis Sentis , Ufuk Topcu , Jun Liu

The theories of aero- and hydrodynamics predict animal movement and device design in air and water through the computation of lift, drag, and thrust forces. Although models of terrestrial legged locomotion have focused on interactions with…

Biological Physics · Physics 2019-11-04 Chen Li , Tingnan Zhang , Daniel I. Goldman

In this work, we introduce a control framework that combines model-based footstep planning with Reinforcement Learning (RL), leveraging desired footstep patterns derived from the Linear Inverted Pendulum (LIP) dynamics. Utilizing the LIP…

Robotics · Computer Science 2024-08-06 Ho Jae Lee , Seungwoo Hong , Sangbae Kim

Legged robots are well-suited for broad exploration tasks in complex environments with yielding terrain. Understanding robotic foot-terrain interactions is critical for safe locomotion and walking efficiency for legged robots. This paper…

Robotics · Computer Science 2024-03-06 Xunjie Chen , Jingang Yi , Jerry Shan

Contact planning is crucial in locomoting systems.Specifically, appropriate contact planning can enable versatile behaviors (e.g., sidewinding in limbless locomotors) and facilitate speed-dependent gait transitions (e.g., walk-trot-gallop…

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