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Path planning in the presence of dynamic obstacles is a challenging problem due to the added time dimension in search space. In approaches that ignore the time dimension and treat dynamic obstacles as static, frequent re-planning is…

Robotics · Computer Science 2016-05-24 Anirudh Vemula , Katharina Muelling , Jean Oh

In this paper, we present a learning-based approach that allows a robot to quickly follow a reference path defined in joint space without exceeding limits on the position, velocity, acceleration and jerk of each robot joint. Contrary to…

Robotics · Computer Science 2022-10-21 Jonas C. Kiemel , Torsten Kröger

We present a method for effectively planning the motion trajectory of robots in manufacturing tasks, the tool-paths of which are usually complex and have a large number of discrete-time constraints as waypoints. Kinematic redundancy also…

Robotics · Computer Science 2025-10-01 Chengkai Dai , Sylvain Lefebvre , Kai-Ming Yu , Jo M. P. Geraedts , Charlie C. L. Wang

Given a geometric path, the Time-Optimal Path Tracking problem consists in finding the control strategy to traverse the path time-optimally while regulating tracking errors. A simple yet effective approach to this problem is to decompose…

Robotics · Computer Science 2018-03-20 Hung Pham , Quang-Cuong Pham

Time-jerk optimal trajectory planning is crucial in advancing robotic arms' performance in dynamic tasks. Traditional methods rely on solving complex nonlinear programming problems, bringing significant delays in generating optimized…

Robotics · Computer Science 2024-03-27 Beibei Zhang , Tian Xiang , Chentao Mao , Yuhua Zheng , Shuai Li , Haoyi Niu , Xiangming Xi , Wenyuan Bai , Feng Gao

Fastest-path queries between two points in a very large road map is an increasingly important primitive in modern transportation and navigation systems, thus very efficient computation of these paths is critical for system performance and…

Data Structures and Algorithms · Computer Science 2020-09-09 Renjie Chen , Craig Gotsman

In this paper we discuss a sequential algorithm for the computation of a minimum-time speed profile over a given path, under velocity, acceleration and jerk constraints. Such a problem arises in industrial contexts such as automated…

Optimization and Control · Mathematics 2021-06-01 L. Consolini , M. Locatelli , A. Minari

An efficient approach to compute near time-optimal trajectories for linear kinematic systems with oscillatory internal dynamics is presented. Thereby, kinematic constraints with respect to velocity, acceleration and jerk are taken into…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Thomas Auer , Frank Woittennek

Precise trajectory tracking for legged robots can be challenging due to their high degrees of freedom, unmodeled nonlinear dynamics, or random disturbances from the environment. A commonly adopted solution to overcome these challenges is to…

Robotics · Computer Science 2025-09-01 Jing Cheng , Yasser G. Alqaham , Amit K. Sanyal , Zhenyu Gan

Trajectory planning for mobile robots in cluttered environments remains a major challenge due to narrow passages, where conventional methods often fail or generate suboptimal paths. To address this issue, we propose the adaptive trajectory…

Robotics · Computer Science 2025-10-31 Hahjin Lee , Young J. Kim

This paper presents an enhanced direct-method-based approach for the real-time solution of optimal control problems to handle path constraints, such as obstacles. The principal contributions of this work are twofold: first, the existing…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Juho Bae , Ji Hoon Bai , Byung-Yoon Lee , Jun-Yong Lee

This paper presents a triple optimization algorithm of two-dimensional space, driving path and driving speed, and iterates in the time dimension to obtain the local optimal solution of path and speed in the optimal driving area. Design…

Robotics · Computer Science 2024-07-17 Yang Yinyang , Wang Chanchan

This paper studies tracking of collision-free waypoint paths produced by an offline planner for a planar double-integrator system with bounded speed and acceleration. Because sampling-based planners must route around obstacles, the…

Robotics · Computer Science 2026-04-02 Hossein Gholampour , Logan E. Beaver

Humanoid robots are expected to navigate in changing environments and perform a variety of tasks. Frequently, these tasks require the robot to make decisions online regarding the speed and precision of following a reference path. For…

Robotics · Computer Science 2023-08-02 Kunal S. Narkhede , Dhruv A. Thanki , Abhijeet M. Kulkarni , Ioannis Poulakakis

Velocity Planning for self-driving vehicles in a complex environment is one of the most challenging tasks. It must satisfy the following three requirements: safety with regards to collisions; respect of the maximum velocity limits defined…

Robotics · Computer Science 2022-02-22 Yutaka Shimizu , Takamasa Horibe , Fumiya Watanabe , Shinpei Kato

Jerk-constrained trajectories offer a wide range of advantages that collectively improve the performance of robotic systems, including increased energy efficiency, durability, and safety. In this paper, we present a novel approach to…

Robotics · Computer Science 2025-01-28 Jee-eun Lee , Andrew Bylard , Robert Sun , Luis Sentis

Exploring the limits of quadruped robot agility, particularly in the context of rapid and real-time planning and execution of omnidirectional jump trajectories, presents significant challenges due to the complex dynamics involved,…

Robotics · Computer Science 2024-07-02 Linzhu Yue , Lingwei Zhang , Zhitao Song , Hongbo Zhang , Jinhu Dong , Xuanqi Zeng , Yun-Hui Liu

Industrial robotic applications such as spraying, welding, and additive manufacturing frequently require fast, accurate, and uniform motion along a 3D spatial curve. To increase process throughput, some manufacturers propose a dual-robot…

Modern navigation services often provide multiple paths connecting the same source and destination for users to select. Hence, ranking such paths becomes increasingly important, which directly affects the service quality. We present…

Machine Learning · Computer Science 2019-07-10 Sean Bin Yang , Bin Yang

We propose an iterative method for nonlinear semidefinite programs with box constraints. The search direction in the proposed method utilizes the distance from the current point to the boundary of a feasible set. The computation of the…

Optimization and Control · Mathematics 2015-05-15 Akihiko Komatsu , Makoto Yamashita
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