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As autonomous robots increasingly become part of daily life, they will often encounter dynamic environments while only having limited information about their surroundings. Unfortunately, due to the possible presence of malicious dynamic…

Automated driving in urban scenarios requires efficient planning algorithms able to handle complex situations in real-time. A popular approach is to use graph-based planning methods in order to obtain a rough trajectory which is…

Robotics · Computer Science 2021-02-17 Oliver Speidel , Jona Ruof , Klaus Dietmayer

To dynamically traverse challenging terrain, legged robots need to continually perceive and reason about upcoming features, adjust the locations and timings of future footfalls and leverage momentum strategically. We present a pipeline that…

Robotics · Computer Science 2021-04-20 Oliwier Melon , Romeo Orsolino , David Surovik , Mathieu Geisert , Ioannis Havoutis , Maurice Fallon

This paper presents a numerical optimization algorithm for generating approach and landing trajectories for a six-degree-of-freedom (6-DoF) aircraft. We improve on the existing research on aircraft landing trajectory generation by…

Optimization and Control · Mathematics 2025-06-12 Taewan Kim , Abhinav G. Kamath , Niyousha Rahimi , Jasper Corleis , Behçet Açıkmeşe , Mehran Mesbahi

This paper introduces a differential dynamic programming (DDP) based framework for polynomial trajectory generation for differentially flat systems. In particular, instead of using a linear equation with increasing size to represent…

Optimization and Control · Mathematics 2021-09-13 Kun Cao , Muqing Cao , Shenghai Yuan , Lihua Xie

Path-velocity decomposition is an intuitive yet powerful approach to address the complexity of kinodynamic motion planning. The difficult trajectory planning problem is solved in two separate, simpler, steps: first, find a path in the…

Robotics · Computer Science 2016-10-03 Quang-Cuong Pham , Stéphane Caron , Puttichai Lertkultanon , Yoshihiko Nakamura

Motivated by the problem of pursuit-evasion, we present a motion planning framework that combines energy-based diffusion models with artificial potential fields for robust real time trajectory generation in complex environments. Our…

Robotics · Computer Science 2025-10-17 Wondmgezahu Teshome , Kian Behzad , Octavia Camps , Michael Everett , Milad Siami , Mario Sznaier

This paper presents a novel trajectory planning pipeline for complex driving scenarios like autonomous lane changing, by integrating risk-aware planning with guaranteed collision avoidance into a unified optimization framework. We first…

Robotics · Computer Science 2026-03-09 Yijun Lu , Zhihao Lin , Zhen Tian

Efficient trajectory planning for urban intersections is currently one of the most challenging tasks for an Autonomous Vehicle (AV). Courteous behavior towards other traffic participants, the AV's comfort and its progression in the…

Robotics · Computer Science 2020-10-08 Oliver Speidel , Maximilian Graf , Ankit Kaushik , Thanh Phan-Huu , Andreas Wedel , Klaus Dietmayer

Soft robots are well suited for contact-rich tasks due to their compliance, yet this property makes accurate and tractable modeling challenging. Planning motions with dynamically-feasible trajectories requires models that capture arbitrary…

Robotics · Computer Science 2026-03-25 Beibei Liu , Akua K. Dickson , Ran Jing , Andrew P. Sabelhaus

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

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

Path Planning and target searching in a three-dimensional environment is a challenging task in the field of robotics. It is an optimization problem as the path from source to destination has to be optimal. This paper aims to generate a…

Artificial Intelligence · Computer Science 2019-11-07 Devansh Verma , Priyansh Saxena , Ritu Tiwari

Optimization-based trajectory generation methods are widely used in whole-body planning for robots. However, existing work either oversimplifies the robot's geometry and environment representation, resulting in a conservative trajectory, or…

Robotics · Computer Science 2023-03-03 Tingrui Zhang , Jingping Wang , Chao Xu , Alan Gao , Fei Gao

Gas transport and other complex real-world challenges often require solving and controlling partial differential equations (PDEs) defined on graph structures, which typically demand substantial memory and computational resources. The Random…

Numerical Analysis · Mathematics 2025-06-16 Martín Hernández , Enrique Zuazua

We present a new algorithm to quickly generate high-performance GPU implementations of complex imaging and vision pipelines, directly from high-level Halide algorithm code. It is fully automatic, requiring no schedule templates or…

Programming Languages · Computer Science 2023-08-29 Luke Anderson , Andrew Adams , Karima Ma , Tzu-Mao Li , Tian Jin , Jonathan Ragan-Kelley

Trajectory planning is a critical component in ensuring the safety, stability, and efficiency of autonomous vehicles. While existing trajectory planning methods have achieved progress, they often suffer from high computational costs,…

We consider the solution of initial value problems within the context of hybrid systems and emphasise the use of high precision approximations (in software for exact real arithmetic). We propose a novel algorithm for the computation of…

Mathematical Software · Computer Science 2010-06-03 Norbert Th. Müller , Margarita Korovina

Navigation of UAVs in unknown environments with obstacles is essential for applications in disaster response and infrastructure monitoring. However, existing obstacle avoidance algorithms, such as Artificial Potential Field (APF) are unable…

Robotics · Computer Science 2025-06-10 Shahid Mohammad Mulla , Aryan Kanakapudi , Lakshmi Narasimhan , Anuj Tiwari

This paper introduces a novel numerical approach to achieving smooth lane-change trajectories in autonomous driving scenarios. Our trajectory generation approach leverages particle swarm optimization (PSO) techniques, incorporating Neural…

Robotics · Computer Science 2024-02-05 Lin Song , David Isele , Naira Hovakimyan , Sangjae Bae
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