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相关论文: Geometric Gait Optimization for Kinodynamic System…

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The present paper proposes a unified geometric framework for coordinated motion on Lie groups. It first gives a general problem formulation and analyzes ensuing conditions for coordinated motion. Then, it introduces a precise method to…

最优化与控制 · 数学 2008-07-29 Alain Sarlette , Silvère Bonnabel , Rodolphe Sepulchre

Successfully achieving bipedal locomotion remains challenging due to real-world factors such as model uncertainty, random disturbances, and imperfect state estimation. In this work, we propose a novel metric for locomotive robustness -- the…

机器人学 · 计算机科学 2024-03-14 Maegan Tucker , Kejun Li , Aaron D. Ames

This paper presents a generalization of conventional sliding mode control designs for systems in Euclidean spaces to fully actuated simple mechanical systems whose configuration space is a Lie group for the trajectory-tracking problem. A…

最优化与控制 · 数学 2023-06-01 Eduardo Espindola , Yu Tang

Taking inspiration from the natural gait transition mechanism of quadrupeds, devising a good gait transition strategy is important for quadruped robots to achieve energy-efficient locomotion on various terrains and velocities. While…

机器人学 · 计算机科学 2024-10-15 Daoxun Zhang , Xieyuanli Chen , Zhengyu Zhong , Ming Xu , Zhiqiang Zheng , Huimin Lu

This paper aims to improve the path quality and computational efficiency of kinodynamic planners used for vehicular systems. It proposes a learning framework for identifying promising controls during the expansion process of sampling-based…

机器人学 · 计算机科学 2022-01-10 Seth Karten , Aravind Sivaramakrishnan , Edgar Granados , Troy McMahon , Kostas E. Bekris

In this paper, we derive the continuous space-time equations of motion of a three-dimensional geometrically exact rod, or the Cosserat rod, incorporating planar cross-sectional deformation. We then adopt the Lie group variational integrator…

系统与控制 · 电气工程与系统科学 2026-02-12 Srishti Siddharth , Vivek Natarajan , Ravi N. Banavar

In this paper, we introduce dynamics factor graphs as a graphical framework to solve dynamics problems and kinodynamic motion planning problems with full consideration of whole-body dynamics and contacts. A factor graph representation of…

机器人学 · 计算机科学 2020-11-13 Mandy Xie , Alejandro Escontrela , Frank Dellaert

It is challenging to perform system identification on soft robots due to their underactuated, high-dimensional dynamics. In this work, we present a data-driven modeling framework, based on geometric mechanics (also known as gauge theory)…

Quadrupedal robots exhibit a wide range of viable gaits, but generating specific footfall sequences often requires laborious expert tuning of numerous variables, such as touch-down and lift-off events and holonomic constraints for each leg.…

机器人学 · 计算机科学 2026-02-13 Jiayu Ding , Xulin Chen , Garrett E. Katz , Zhenyu Gan

Quadrupedal robots exhibit a wide range of viable gaits, but generating specific footfall sequences often requires laborious expert tuning of numerous variables, such as touch-down and lift-off events and holonomic constraints for each leg.…

系统与控制 · 电气工程与系统科学 2026-02-17 Jiayu Ding , Xulin Chen , Garret E. Katz , Zhenyu Gan

Geometric integration of non-autonomous classical engineering problems, such as rotor dynamics, is investigated. It is shown, both numerically and by backward error analysis, that geometric (structure preserving) integration algorithms are…

数值分析 · 数学 2011-03-11 Klas Modin

Trajectory optimization is a widely used technique in robot motion planning for letting the dynamics and constraints on the system shape and synthesize complex behaviors. Several previous works have shown its benefits in high-dimensional…

机器人学 · 计算机科学 2024-03-19 Ramkumar Natarajan , Shohin Mukherjee , Howie Choset , Maxim Likhachev

Rigid body dynamics on the rotation group have typically been represented in terms of rotation matrices, unit quaternions, or local coordinates, such as Euler angles. Due to the coordinate singularities associated with local coordinate…

数值分析 · 数学 2017-05-15 Xuefeng Shen , Melvin Leok

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)…

系统与控制 · 电气工程与系统科学 2019-10-02 Tixian Wang , Amirhossein Taghvaei , Prashant G. Mehta

Trajectory optimization is an essential tool for generating efficient, dynamically consistent gaits in legged locomotion. This paper explores the indirect method of trajectory optimization, emphasizing its application in creating optimal…

机器人学 · 计算机科学 2026-04-02 Maximilian Raff , Kathrin Flaßkamp , C. David Remy

Reduced-order-model-based optimal control techniques for humanoid locomotion struggle to adapt step duration and placement simultaneously in dynamic walking gaits due to their reliance on fixed-time discretization, which limits…

机器人学 · 计算机科学 2025-05-29 Junheng Li , Ziwei Duan , Junchao Ma , Quan Nguyen

The linearization of the equations of motion of a robotics system about a given state-input trajectory, including a controlled equilibrium state, is a valuable tool for model-based planning, closed-loop control, gain tuning, and state…

机器人学 · 计算机科学 2022-04-20 Martijn Bos , Silvio Traversaro , Daniele Pucci , Alessandro Saccon

This paper develops different discretization schemes for nonholonomic mechanical systems through a discrete geometric approach. The proposed methods are designed to account for the special geometric structure of the nonholonomic motion. Two…

数学物理 · 物理学 2010-02-26 M. Kobilarov , D. Martín de Diego , S. Ferraro

In this work, we introduce LazyBoE, a multi-query method for kinodynamic motion planning with forward propagation. This algorithm allows for the simultaneous exploration of a robot's state and control spaces, thereby enabling a wider suite…

机器人学 · 计算机科学 2024-06-05 Anuj Pasricha , Alessandro Roncone

We present a method that finds locomanipulation plans that perform simultaneous locomotion and manipulation of objects for a desired end-effector trajectory. Key to our approach is to consider a generic locomotion constraint manifold that…

机器人学 · 计算机科学 2019-09-24 Steven Jens Jorgensen , Mihir Vedantam , Ryan Gupta , Henry Cappel , Luis Sentis