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Related papers: Lattice-based Motion Planning for a General 2-trai…

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This work considers a Motion Planning Problem with Dynamic Obstacles (MPDO) in 2D that requires finding a minimum-arrival-time collision-free trajectory for a point robot between its start and goal locations amid dynamic obstacles moving…

Robotics · Computer Science 2022-06-03 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Abstract: we present a framework for robust autonomous driving motion planning system in urban environments which includes trajectory refinement, trajectory interpolation, avoidance of static and dynamic obstacles, and trajectory tracking.…

Systems and Control · Electrical Eng. & Systems 2019-12-11 Yuncheng Jiang , Xiaofeng Jin , Yanfei Xiong , Zhaoyong Liu

We study a path planning problem where the possible move actions are represented as a finite set of motion primitives aligned with the grid representation of the environment. That is, each primitive corresponds to a short…

Robotics · Computer Science 2025-12-09 Marat Agranovskiy , Konstantin Yakovlev

General-purpose motion planners for automated/autonomous vehicles promise to handle the task of motion planning (including tactical decision-making and trajectory generation) for various automated driving functions (ADF) in a diverse range…

Robotics · Computer Science 2024-06-11 MReza Alipour Sormoli , Konstantinos Koufos , Mehrdad Dianati , Roger Woodman

This paper presents a unified optimization-based path planning approach to efficiently compute locally optimal solutions to advanced path planning problems. The approach is motivated by first showing that a lattice-based path planner can be…

Optimization and Control · Mathematics 2019-03-26 Kristoffer Bergman , Oskar Ljungqvist , Daniel Axehill

Sampling-based methods for motion planning, which capture the structure of the robot's free space via (typically random) sampling, have gained popularity due to their scalability, simplicity, and for offering global guarantees, such as…

Robotics · Computer Science 2025-05-22 Itai Panasoff , Kiril Solovey

With the development of robotics, ground robots are no longer limited to planar motion. Passive height variation due to complex terrain and active height control provided by special structures on robots require a more general navigation…

Robotics · Computer Science 2023-02-08 Jingping Wang , Long Xu , Haoran Fu , Zehui Meng , Chao Xu , Yanjun Cao , Ximin Lyu , Fei Gao

Multi-agent motion planning (MAMP) is an important problem for autonomous systems with multiple agents. In this work we propose a two-step method for finding optimized and kinematically feasible solutions to MAMP problems. The first step…

Robotics · Computer Science 2026-05-05 Anja Hellander , Kristoffer Bergman , Daniel Axehill

Trajectory planning at high velocities and at the handling limits is a challenging task. In order to cope with the requirements of a race scenario, we propose a far-sighted two step, multi-layered graph-based trajectory planner, capable to…

Robotics · Computer Science 2020-05-19 Tim Stahl , Alexander Wischnewski , Johannes Betz , Markus Lienkamp

In this paper, we present a method to initialize at a feasible point and unfailingly solve a non-convex optimization problem in which a set-point motion is planned for a multi-link manipulator under state and control constraints. We…

Systems and Control · Computer Science 2017-03-16 Keisuke Uto , Makoto Obayashi , Gaku Takano

Trajectory planning for autonomous cars can be addressed by primitive-based methods, which encode nonlinear dynamical system behavior into automata. In this paper, we focus on optimal trajectory planning. Since, typically, multiple criteria…

Systems and Control · Electrical Eng. & Systems 2024-01-26 Matheus V. A. Pedrosa , Patrick Scheffe , Bassam Alrifaee , Kathrin Flaßkamp

We present a novel approach for motion planning in mobile robotics under sensing and motion uncertainty based on state lattices with graduated fidelity. The probability of collision is reliably estimated considering the robot shape, and the…

Robotics · Computer Science 2019-06-03 Adrián González-Sieira , Manuel Mucientes , Alberto Bugarín

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

This paper reports a novel result: with proper robot models on matrix Lie groups, one can formulate the kinodynamic motion planning problem for rigid body systems as \emph{exact} polynomial optimization problems that can be relaxed as…

Robotics · Computer Science 2023-05-24 Sangli Teng , Ashkan Jasour , Ram Vasudevan , Maani Ghaffari

An effective method for optimizing path planning for a specific model of a 6-degree-of-freedom (6-DOF) robot manipulator is presented as part of the motion planning of the manipulator using computer algebra. We assume that we are given a…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa

In this paper, we present a motion planning framework for multi-modal vehicle dynamics. Our proposed algorithm employs transcription of the optimization objective function, vehicle dynamics, and state and control constraints into sparse…

Robotics · Computer Science 2021-07-07 L. Lao Beyer , N. Balabanska , E. Tal , S. Karaman

We propose a Gaussian variational inference framework for the motion planning problem. In this framework, motion planning is formulated as an optimization over the distribution of the trajectories to approximate the desired trajectory…

Robotics · Computer Science 2023-03-27 Hongzhe Yu , Yongxin Chen

Lazy search algorithms can efficiently solve problems where edge evaluation is the bottleneck in computation, as is the case for robotic motion planning. The optimal algorithm in this class, LazySP, lazily restricts edge evaluation to only…

Robotics · Computer Science 2019-07-24 Aditya Mandalika , Sanjiban Choudhury , Oren Salzman , Siddhartha Srinivasa

We present a complete framework for fast motion planning of non-holonomic autonomous mobile robots in highly complex but structured environments. Conventional grid-based planners struggle with scalability, while many kinematically-feasible…

Robotics · Computer Science 2026-02-11 Alejandro Gonzalez-Garcia , Sebastiaan Wyns , Sonia De Santis , Jan Swevers , Wilm Decré

Most existing motion planning algorithms assume that a map (of some quality) is fully determined prior to generating a motion plan. In many emerging applications of robotics, e.g., fast-moving agile aerial robots with constrained embedded…

Robotics · Computer Science 2018-08-03 Thomas Sayre-McCord , Sertac Karaman