• Home
  • Search
  • Time-Optimization of Trajectories Using Zero-Clamped Cubic Splines and Their Analytical Gradients
  • Cite Icon8
  • https://doi.org/10.1109/lra.2022.3148468Copy DOI Icon

Time-Optimization of Trajectories Using Zero-Clamped Cubic Splines and Their Analytical Gradients

Show More
  • Abstract
  • Literature Map
  • References
  • Citations
  • Similar Papers
Abstract

Modern flexible production systems benefit from collaborative robot systems that support to teach robot configurations by hand to quickly implement collision-free motions. However, appropriate interpolation schemes that allow a fast and smooth motion through this sequence of waypoints is often not part of robot control systems. Instead, only point-to-point motions or a set of predefined curves like circular motions are supported. We propose an approach to improve the efficiency of finding a time parameterization with cubic splines that computes minimum trajectory durations while respecting actuator limits and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$C^2$</tex-math></inline-formula> -continuity. Compared to the existing method, our contribution consists in the analytical gradients of the underlying nonlinear optimization problem and thus we are able to propose an efficient solution approach using state-of-the-art optimization solvers. We validate our implementation in simulation and in experiments, and benchmark it with the three trajectory generation methods implemented in <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">MoveIt!</i> .

Similar Papers
  • Research Article

Sampling Augmented Bilevel Trajectory Optimization for Constrained Quadrotor Flights

  • Jan 01, 2026
  • IEEE Robotics and Automation Letters
  • Qiang Li +2
  • Conference Article
  • Citations18

A system for human-in-the-loop simulation of industrial collaborative robot applications

  • Aug 01, 2020
  • Maximilian Metzner +6
  • Research Article
  • Citations112

Concepts and techniques of a new robotically assisted technique for total knee arthroplasty: the ROSA knee system.

  • Jul 13, 2021
  • Archives of Orthopaedic and Trauma Surgery
  • Cécile Batailler +3
  • Research Article
  • Citations25

Robotics in Simulated COVID-19 Patient Room for Health Care Worker Effector Tasks: Preliminary, Feasibility Experiments

  • Dec 14, 2020
  • Mayo Clinic Proceedings: Innovations, Quality & Outcomes
  • W David Freeman +13
  • Research Article
  • Citations1

Подход к распределению работ в коллаборативной робототехнической системе с учетом модели рабочего пространства и динамического переназначения исполнителей

  • Jan 01, 2023
  • News of the Kabardin-Balkar Scientific Center of RAS
  • R.R Galin
  • PDF
  • Research Article
  • Citations21

Analysis of Interlaboratory Safety Related Tests in Power and Force Limited Collaborative Robots

  • Jan 01, 2021
  • IEEE Access
  • Adriano Scibilia +11
  • Book Chapter

Problem-Solving Skill Development in Learning Factories Through Collaborative Robotic Systems

  • Oct 01, 2025
  • Olugbenga Adegbemisola Aderoba +2
  • Conference Article
  • Citations13

Designing Path of Collision Avoidance for Mobile Manipulator in Worker Safety Monitoring System Using Reinforcement Learning

  • Mar 04, 2021
  • Jiwoong Lim +6
  • Book Chapter
  • Citations4

Haptic Guidance in a Collaborative Robotic System

  • Jan 01, 2013
  • Fernando Ribeiro +1
  • Book Chapter
  • Citations6

Development of Wireless Charging Robot for Indoor Environment Based on Probabilistic Roadmap

  • Jan 01, 2016
  • Yi-Shiun Wu +2
  • Research Article
  • Citations8

Smooth pursuit eye movements and motion perception share motion signals in slow and fast motion mechanisms.

  • Aug 14, 2015
  • Journal of vision
  • Kazumichi Matsumiya +1
  • Conference Article
  • Citations11

Path-constrained optimal trajectory planning for robot manipulators with obstacle avoidance

  • Sep 27, 2021
  • Yalun Wen +1
  • Research Article
  • Citations2

Visual speed sensitivity in the drum corps color guard.

  • Jul 10, 2017
  • Journal of Vision
  • Nestor Matthews +4
  • Conference Article
  • Citations5

Human Factor Modelling in the Collaborative Robotic Process Control System

  • May 15, 2023
  • M A Gorkavyy +3
  • Conference Article
  • Citations7

Novel force-sensor-less contact motion control for quick and smooth industrial robot motion

  • Nov 01, 2011
  • Naoki Shimada +3
Cactus Communications logo

Copyright 2026 Cactus Communications. All rights reserved.