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This paper studies the time-optimal path tracking problem for a team of cooperating robotic manipulators carrying an object. Considering the problem for rigidly grasped objects, we show that it can be cast as a convex optimization problem…

Robotics · Computer Science 2023-03-14 Hamed Haghshenas , Anders Hansson , Mikael Norrlöf

In this paper we present a method for automatically generating optimal robot trajectories satisfying high level mission specifications. The motion of the robot in the environment is modeled as a general transition system, enhanced with…

Robotics · Computer Science 2010-07-16 Stephen L. Smith , Jana Tumova , Calin Belta , Daniela Rus

This paper considers a trajectory planning problem for a robot navigating complex terrains, which arises in applications ranging from autonomous mining vehicles to planetary rovers. The problem seeks to find a low-cost dynamically feasible…

Robotics · Computer Science 2024-07-04 Yilin Cai , Zhongqiang Ren

In this paper we present a novel strategy to compute minimum-time trajectories for quadrotors. In particular, we consider the motion in constrained environments, taking into account the physical limitations of the vehicle. Instead of…

Optimization and Control · Mathematics 2017-02-15 Sara Spedicato , Giuseppe Notarstefano

To generate reliable motion for legged robots through trajectory optimization, it is crucial to simultaneously compute the robot's path and contact sequence, as well as accurately consider the dynamics in the problem formulation. In this…

Robotics · Computer Science 2025-10-29 Sangmin Kim , Hajun Kim , Gijeong Kim , Min-Gyu Kim , Hae-Won Park

Navigating an arbitrary-shaped ground robot safely in cluttered environments remains a challenging problem. The existing trajectory planners that account for the robot's physical geometry severely suffer from the intractable runtime. To…

Robotics · Computer Science 2026-01-07 Yisheng Li , Longji Yin , Yixi Cai , Jianheng Liu , Fangcheng Zhu , Mingpu Ma , Siqi Liang , Haotian Li , Fu Zhang

In this paper, we consider a formulation of nonlinear constrained optimization problems. We reformulate it as a time-varying optimization using continuous-time parametric functions and derive a dynamical system for tracking the optimal…

Optimization and Control · Mathematics 2024-06-11 Mohsen Amidzadeh

Planning a time-optimal trajectory for aerial robots is critical in many drone applications, such as rescue missions and package delivery, which have been widely researched in recent years. However, it still involves several challenges,…

Robotics · Computer Science 2022-09-02 Wei Luo , Jingshan Chen , Henrik Ebel , Peter Eberhard

Quadrotors are among the most agile flying robots. However, planning time-optimal trajectories at the actuation limit through multiple waypoints remains an open problem. This is crucial for applications such as inspection, delivery, search…

Robotics · Computer Science 2021-10-04 Philipp Foehn , Angel Romero , Davide Scaramuzza

In this work, we present an approach to minimizing the time necessary for the end-effector of a redundant robot manipulator to traverse a Cartesian path by optimizing the trajectory of its joints. Each joint has limits in the ranges of…

Robotics · Computer Science 2024-12-12 Jonathan Fried , Santiago Paternain

In this paper, we propose an efficient and accurate method for autonomous surface vehicles to generate a smooth and collision-free trajectory considering its dynamics constraints. We decouple the trajectory planning problem as a front-end…

Robotics · Computer Science 2020-10-02 Licheng Wen , Jiaqing Yan , Xuemeng Yang , Yong Liu , Yong Gu

Given the evolving application scenarios of current fixed-wing unmanned aerial vehicles (UAVs), it is necessary for UAVs to possess agile and rapid 3-dimensional flight capabilities. Typically, the trajectory of a tail-sitter is generated…

Robotics · Computer Science 2025-01-22 Mingyue Fan , Fangfang Xie , Tingwei Ji , Yao Zheng

This paper addresses the problem of planning time-optimal trajectories for multiple cooperative agents along specified paths through a static road network. Vehicle interactions at intersections create non-trivial decisions, with complex…

Robotics · Computer Science 2018-10-08 Philip Gun , Andrew Hill , Robin Vujanic

Optimal motion planning along prescribed paths can be solved with several techniques, but most of them do not take into account the wrenches exerted by the end-effector when in contact with the environment. When a dynamic model of the…

Robotics · Computer Science 2023-12-13 Vincenzo Petrone , Enrico Ferrentino , Pasquale Chiacchio

A significant challenge in manipulation motion planning is to ensure agility in the face of unpredictable changes during task execution. This requires the identification and possible modification of suitable joint-space trajectories, since…

Robotics · Computer Science 2020-05-05 Filip Marić , Oliver Limoyo , Luka Petrović , Trevor Ablett , Ivan Petrović , Jonathan Kelly

In this article, we consider the problem of trajectory planning and control for on-road driving of an autonomous ground vehicle (AGV) in presence of static or moving obstacles. We propose a systematic approach to partition the…

Systems and Control · Computer Science 2018-01-25 Florent Altché , Arnaud de La Fortelle

In many mobile robotics scenarios, such as drone racing, the goal is to generate a trajectory that passes through multiple waypoints in minimal time. This problem is referred to as time-optimal planning. State-of-the-art approaches either…

Robotics · Computer Science 2020-08-04 Philipp Foehn , Davide Scaramuzza

In this paper, we present an optimization based method for path planning of a mobile robot subject to time bounded temporal constraints, in a dynamic environment. Temporal logic (TL) can address very complex task specification such as…

Systems and Control · Computer Science 2016-04-29 Yuchen Zhou , Dipankar Maity , John S. Baras

In this paper, we present a novel approach to efficiently generate collision-free optimal trajectories for multiple non-holonomic mobile robots in obstacle-rich environments. Our approach first employs a graph-based multi-agent path planner…

Robotics · Computer Science 2021-01-29 Juncheng Li , Maopeng Ran , Lihua Xie

Real-time constraint satisfaction for robots can be quite challenging due to the high computational complexity that arises when accounting for the system dynamics and environmental interactions, often requiring simplification in modelling…

Robotics · Computer Science 2021-05-24 Pravin Dangol , Alireza Ramezani