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Effective robot autonomy requires motion generation that is safe, feasible, and reactive. Current methods are fragmented: fast planners output physically unexecutable trajectories, reactive controllers struggle with high-fidelity…

Robotics · Computer Science 2026-04-17 Balakumar Sundaralingam , Adithyavairavan Murali , Stan Birchfield

Efficient motion planning remains a key challenge in industrial robotics, especially for multi-axis systems operating in complex environments. This paper addresses that challenge by integrating GPU-accelerated motion planning through…

Robotics · Computer Science 2025-08-12 Luai Abuelsamen , Harsh Rana , Ho-Wei Lu , Wenhan Tang , Swati Priyadarshini , Gabriel Gomes

Running optimization across many parallel seeds leveraging GPU compute have relaxed the need for a good initialization, but this can fail if the problem is highly non-convex as all seeds could get stuck in local minima. One such setting is…

Safe robot motion generation is critical for practical applications from manufacturing to homes. In this work, we proposed a stochastic optimization-based motion generation method to generate collision-free and time-optimal motion for the…

Robotics · Computer Science 2023-06-08 Baolin Liu , Gedong Jiang , Fei Zhao , Xuesong Mei

Optimization has been widely used to generate smooth trajectories for motion planning. However, existing trajectory optimization methods show weakness when dealing with large-scale long trajectories. Recent advances in parallel computing…

Robotics · Computer Science 2025-07-18 Jiajun Yu , Nanhe Chen , Guodong Liu , Chao Xu , Fei Gao , Yanjun Cao

Modern sampling-based motion planning algorithms typically take between hundreds of milliseconds to dozens of seconds to find collision-free motions for high degree-of-freedom problems. This paper presents performance improvements of more…

Robotics · Computer Science 2023-10-02 Wil Thomason , Zachary Kingston , Lydia E. Kavraki

Motion planning is a fundamental problem in robotics that involves generating feasible trajectories for a robot to follow. Recent advances in parallel computing, particularly through CPU and GPU architectures, have significantly reduced…

Robotics · Computer Science 2025-05-13 Jiaming Hu , Jiawei Wang , Henrik Christensen

Autonomous robots are increasingly prevalent in our society, emerging in medical care, transportation vehicles, and home assistance. These robots rely on motion planning and collision detection to identify a sequence of movements allowing…

Hardware Architecture · Computer Science 2026-03-03 Lufei Liu , Liwei Xue , Youssef Mohammed , Jocelyn Zhao , Yuan Hsi Chou , Tor M. Aamodt

Optimal transport (OT) has emerged as a fundamental tool in modern machine learning, yet its computational cost remains a significant bottleneck for large-scale applications. While harnessing the massive parallelism of modern GPU hardware…

Mathematical Software · Computer Science 2026-05-12 Yixuan Qiu

Legged robots with closed-loop kinematic chains are increasingly prevalent due to their increased mobility and efficiency. Yet, most motion generation methods rely on serial-chain approximations, sidestepping their specific constraints and…

Robotics · Computer Science 2025-04-02 Ludovic de Matteis , Virgile Batto , Justin Carpentier , Nicolas Mansard

We present a batch trajectory optimizer that can simultaneously solve hundreds of different instances of the problem in real-time. We consider holonomic robots but relax the assumption of circular base footprint. Our main algorithmic…

Robotics · Computer Science 2021-09-28 Fatemeh Rastgar , Houman Masnavi , Karl Kruusamäe , Alvo Aabloo , Arun Kumar Singh

Robust trajectory optimization enables autonomous systems to operate safely under uncertainty by computing control policies that satisfy the constraints for all bounded disturbances. However, these problems often lead to large Second Order…

Robotics · Computer Science 2026-05-19 Jiawei Wang , Arshiya Taj Abdul , Evangelos A. Theodorou

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

The six-degree-of-freedom (6-DOF) robotic arm has gained widespread application in human-coexisting environments. While previous research has predominantly focused on functional motion generation, the critical aspect of expressive motion in…

Robotics · Computer Science 2025-03-14 Jiansheng Li , Haotian Song , Jinni Zhou , Qiang Nie , Yi Cai

This paper proposes a GPU-accelerated optimization framework for collision avoidance problems where the controlled objects and the obstacles can be modeled as the finite union of convex polyhedra. A novel collision avoidance constraint is…

Robotics · Computer Science 2024-06-12 Zeming Wu , Zhuping Wang , Hao Zhang

Optimal control approaches in combination with trajectory optimization have recently proven to be a promising control strategy for legged robots. Computationally efficient and robust algorithms were derived using simplified models of the…

Robotics · Computer Science 2016-12-28 Alexander Herzog , Stefan Schaal , Ludovic Righetti

Robots deployed in unstructured environments must coordinate whole-body motion -- simultaneously moving a mobile base and arm -- to interact with the physical world. This coupled mobility and dexterity yields a state space that grows…

Robotics · Computer Science 2026-04-15 Yida Niu , Xinhai Chang , Xin Liu , Ziyuan Jiao , Yixin Zhu

This paper presents an implementation of robust model predictive control (MPC) for collision-free reference trajectory tracking for mobile robots. The presented approach considers the robot motion to be subject to process noise bounded by…

Systems and Control · Electrical Eng. & Systems 2023-07-03 Yunfan Gao , Florian Messerer , Jonathan Frey , Niels van Duijkeren , Moritz Diehl

Sequential robot manipulation tasks require finding collision-free trajectories that satisfy geometric constraints across multiple object interactions in potentially high-dimensional configuration spaces. Solving these problems in real-time…

Robotics · Computer Science 2025-10-14 Lucas Chen , Shrutheesh Raman Iyer , Zachary Kingston

Generating a collision-free robot motion is crucial for safe applications in real-world settings. This requires an accurate model of all obstacle shapes within the constrained robot cell, which is particularly challenging and…

Robotics · Computer Science 2025-10-29 Gaetano Meli , Niels Dehio
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