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This paper proposes a solution to the problem of smooth path planning for mobile robots in dynamic and unknown environments. A novel concept of Time-Warped Grid is introduced to predict the pose of obstacles in the environment and avoid…

Robotics · Computer Science 2019-03-19 Siavash Farzan , Guilherme N. DeSouza

We propose a novel, multi-layered planning approach for computing paths that satisfy both kinodynamic and spatiotemporal constraints. Our three-part framework first establishes potential sequences to meet spatial constraints, using them to…

Robotics · Computer Science 2025-05-23 Jeel Chatrola , Abhiroop Ajith , Kevin Leahy , Constantinos Chamzas

As the demands of autonomous mobile robots are increasing in recent years, the requirement of the path planning/navigation algorithm should not be content with the ability to reach the target without any collisions, but also should try to…

Robotics · Computer Science 2021-10-05 Jian Zhang

Using a residuum approach, we provide a complete description of the space of the rational spatial curves of given tangent directions. The rational Pythagorean hodograph curves are obtained as a special case when the norm of the direction…

Metric Geometry · Mathematics 2023-07-18 Hans-Peter Schröcker , Zbyněk Šìr

Path planning in dynamic environments is essential to high-risk applications such as unmanned aerial vehicles, self-driving cars, and autonomous underwater vehicles. In this paper, we generate collision-free trajectories for a robot within…

Robotics · Computer Science 2020-07-30 Sourav Dutta , Tuan Tran , Banafsheh Rekabdar , Chinwe Ekenna

High-speed multi-agent autonomous racing demands robust spatiotemporal planning and precise control under strict computational limits. Current methods often oversimplify interactions or abandon strict kinematic constraints. We resolve this…

Robotics · Computer Science 2026-03-11 Mingyi Zhang , Cheng Hu , Yiqin Wang , Haotong Qin , Hongye Su , Lei Xie

Trained humans exhibit highly agile spatial skills, enabling them to operate vehicles with complex dynamics in demanding tasks and conditions. Prior work shows that humans achieve this performance by using strategies such as satisficing,…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Andrew Feit , Bérénice Mettler

This paper presents a guidance algorithm for solving the problem of following parametric paths, as well as a curvature-varying speed setpoint for land-based car-type wheeled mobile robots (WMRs). The guidance algorithm relies on…

Robotics · Computer Science 2026-01-16 Alfredo González-Calvin , Lía García-Pérez , Juan Jiménez

Efficient and reliable generation of global path plans are necessary for safe execution and deployment of autonomous systems. In order to generate planning graphs which adequately resolve the topology of a given environment, many…

Robotics · Computer Science 2022-05-24 Alexander Lambert , Brian Hou , Rosario Scalise , Siddhartha S. Srinivasa , Byron Boots

This paper proposes a control architecture for autonomous lane keeping by a vehicle. In this paper, the vehicle dynamics consist of two parts: lateral and longitudinal dynamics. Therefore, the control architecture comprises two subsequent…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Maryam Nezami , Hossam Seddik Abbas , Ngoc Thinh Nguyen , Georg Schildbach

Autonomous vehicle navigation in structured environments requires planners capable of generating time-optimal, collision-free trajectories that satisfy dynamic and kinematic constraints. We introduce V*, a graph-based motion planner that…

Robotics · Computer Science 2025-08-11 Abdullah Zareh Andaryan , Michael G. H. Bell , Mohsen Ramezani , Glenn Geers

Motion planning for autonomous vehicles requires generating collision-free and dynamically feasible trajectories in complex environments under real-time constraints. While nonlinear optimal control formulations provide high-fidelity…

Robotics · Computer Science 2026-05-15 Matheus Wagner , Antônio Augusto Fröhlich

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

We consider the problem of tracking one solution path defined by a polynomial homotopy on a parallel shared memory computer. Our robust path tracker applies Newton's method on power series to locate the closest singular parameter value. On…

Numerical Analysis · Mathematics 2020-07-31 Simon Telen , Marc Van Barel , Jan Verschelde

Self-driving vehicles are a maturing technology with the potential to reshape mobility by enhancing the safety, accessibility, efficiency, and convenience of automotive transportation. Safety-critical tasks that must be executed by a…

Robotics · Computer Science 2016-04-27 Brian Paden , Michal Cap , Sze Zheng Yong , Dmitry Yershov , Emilio Frazzoli

Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of complex dynamical systems, where the complexity might result from multi-physical couplings, non-trivial domains and diverse nonlinearities. A major…

Dynamical Systems · Mathematics 2024-03-15 Philipp L. Kinon , Tobias Thoma , Peter Betsch , Paul Kotyczka

Model Predictive Path Integral (MPPI) control is a powerful sampling-based strategy for nonlinear autonomous systems. However, its performance is often bottlenecked by the fidelity of nominal dynamics. We propose ICODE-MPPI, a robust…

Robotics · Computer Science 2026-05-06 Shugen Song , Wenjie Mei , Chengyan Zhao

Recently, anchor-based trajectory prediction methods have shown promising performance, which directly selects a final set of anchors as future intents in the spatio-temporal coupled space. However, such methods typically neglect a deeper…

Robotics · Computer Science 2023-04-25 Ding Li , Qichao Zhang , Zhongpu Xia , Kuan Zhang , Menglong Yi , Wenda Jin , Dongbin Zhao

This paper proposes a novel and efficient optimization-based method for generating near time-optimal trajectories for holonomic vehicles navigating through complex but structured environments. The approach aims to solve the problem of…

Optimization and Control · Mathematics 2026-02-04 Louis Callens , Bastiaan Vandewal , Ibrahim Ibrahim , Jan Swevers , Wilm Decré

Motion planning is one of the key modules in autonomous driving systems to generate trajectories for self-driving vehicles to follow. A common motion planning approach is to generate trajectories within semantic safe corridors. The…

Robotics · Computer Science 2022-04-13 Weize Zhang , Peyman Yadmellat , Zhiwei Gao