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Centralized trajectory optimization in the joint space of multiple robots allows access to a larger feasible space that can result in smoother trajectories, especially while planning in tight spaces. Unfortunately, it is often…

Robotics · Computer Science 2026-04-22 Simon Idoko , Prajyot Jadhav , Arun Kumar Singh

We study the trajectory optimization problem under chance constraints for continuous-time stochastic systems. To address chance constraints imposed on the entire stochastic trajectory, we propose a framework based on the set erosion…

Optimization and Control · Mathematics 2025-04-08 Zishun Liu , Liqian Ma , Yongxin Chen

We present a trajectory-based optimization framework for arrival sequencing and scheduling in the terminal maneuvering area (TMA). Unlike node-link scheduling models that reduce trajectories to time-delay variables, the proposed method…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Yutian Pang , Daniel Delahaye , John-Paul Clarke

Mapping is one of the crucial tasks enabling autonomous navigation of a mobile robot. Conventional mapping methods output a dense geometric map representation, e.g. an occupancy grid, which is not trivial to keep consistent for prolonged…

Robotics · Computer Science 2025-02-10 Kirill Muravyev , Alexander Melekhin , Dmitry Yudin , Konstantin Yakovlev

We consider optimal route planning when the objective function is a general nonlinear and non-monotonic function. Such an objective models user behavior more accurately, for example, when a user is risk-averse, or the utility function needs…

Data Structures and Algorithms · Computer Science 2015-11-24 Ger Yang , Evdokia Nikolova

Basis splines enable a time-continuous feasibility check with a finite number of constraints. Constraints apply to the whole trajectory for motion planning applications that require a collision-free and dynamically feasible trajectory.…

Robotics · Computer Science 2023-10-06 Philip Dorpmüller , Thomas Schmitz , Naveen Bejagam , Torsten Bertram

Non-linear Trajectory Optimisation (TO) methods require good initial guesses to converge to a locally optimal solution. A feasible guess can often be obtained by allocating a large amount of time for the trajectory to complete. However for…

Robotics · Computer Science 2022-03-16 Steve Tonneau

Optimal sampling based motion planning and trajectory optimization are two competing frameworks to generate optimal motion plans. Both frameworks have complementary properties: Sampling based planners are typically slow to converge, but…

Robotics · Computer Science 2022-09-19 Jay Kamat , Joaquim Ortiz-Haro , Marc Toussaint , Florian T. Pokorny , Andreas Orthey

Motion planning is still an open problem for many disciplines, e.g., robotics, autonomous driving, due to their need for high computational resources that hinder real-time, efficient decision-making. A class of methods striving to provide…

Robotics · Computer Science 2023-10-31 An T. Le , Georgia Chalvatzaki , Armin Biess , Jan Peters

Topology reasoning is crucial for autonomous driving as it enables comprehensive understanding of connectivity and relationships between lanes and traffic elements. While recent approaches have shown success in perceiving driving topology…

Computer Vision and Pattern Recognition · Computer Science 2025-02-07 Junjie Ye , David Paz , Hengyuan Zhang , Yuliang Guo , Xinyu Huang , Henrik I. Christensen , Yue Wang , Liu Ren

The recent end-to-end neural solvers have shown promise for small-scale routing problems but suffered from limited real-time scaling-up performance. This paper proposes GLOP (Global and Local Optimization Policies), a unified hierarchical…

Artificial Intelligence · Computer Science 2024-07-23 Haoran Ye , Jiarui Wang , Helan Liang , Zhiguang Cao , Yong Li , Fanzhang Li

Autonomous navigation requires planning to reach a goal safely and efficiently in complex and potentially dynamic environments. Graph search-based algorithms are widely adopted due to their generality and theoretical guarantees when…

Robotics · Computer Science 2026-04-21 Hanyang Hu , Cameron Siu , Mo Chen

This paper addresses path planning of an unmanned aerial vehicle (UAV) with remote sensing capabilities (or wireless communication capabilities). The goal of the path planning is to find a minimum-flight-time closed tour of the UAV visiting…

Robotics · Computer Science 2016-12-20 Dae-Sung Jang , Hyeok-Joo Chae , Han-Lim Choi

Factor graph, as a bipartite graphical model, offers a structured representation by revealing local connections among graph nodes. This study explores the utilization of factor graphs in modeling the autonomous racecar planning problem,…

Robotics · Computer Science 2024-06-27 Salman Bari , Xiagong Wang , Ahmad Schoha Haidari , Dirk Wollherr

This paper introduces a new algorithm for trajectory optimization, Decoupled Reduced-space and Adaptive Feasibility-repair Trajectory Optimization (DRAFTO). It first constructs a constrained objective that accounts for smoothness, safety,…

Robotics · Computer Science 2026-03-13 Yichang Feng , Xiao Liang , Minghui Zheng

In this thesis, we aim to improve the performance of TAMP algorithms from three complementary perspectives. First, we investigate the integration of discrete task planning with continuous trajectory optimization. Our main contribution is a…

Robotics · Computer Science 2024-04-05 Joaquim Ortiz-Haro

We study shortest-path routing in large weighted, undirected graphs, where expanding search frontiers raise time and memory costs for exact solvers. We propose \emph{SPHERE}, a query-aware partitioning heuristic that adaptively splits the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-16 Robert Fabian Lindermann , Paul-Niklas Ken Kandora , Simon Caspar Zeller , Adrian Asmund Fessler , Steffen Rebennack

Operating in previously visited environments is becoming increasingly crucial for autonomous systems, with direct applications in autonomous driving, surveying, and warehouse or household robotics. This repeated exposure to observing the…

Robotics · Computer Science 2026-02-20 Lorenzo Montano-Olivan , Julio A. Placed , Luis Montano , Maria T. Lazaro

The problem of autonomous racing is to navigate through a race course as quickly as possible while not colliding with any obstacles. We approach the autonomous racing problem with the added constraint of not maintaining an updated obstacle…

Robotics · Computer Science 2024-10-28 Benjamin Evans , Hendrik W. Jordaan , Herman A. Engelbrecht

Conventional trajectory planning approaches for autonomous racing are based on the sequential execution of prediction of the opposing vehicles and subsequent trajectory planning for the ego vehicle. If the opposing vehicles do not react to…

Robotics · Computer Science 2024-07-26 Levent Ögretmen , Mo Chen , Phillip Pitschi , Boris Lohmann