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To generate safe and real-time trajectories for an autonomous vehicle in dynamic environments, path and speed decoupled planning methods are often considered. This paper studies speed planning, which mainly deals with dynamic obstacle…

Robotics · Computer Science 2021-04-26 Jialun Li , Xiaojia Xie , Hengbo Ma , Xiao Liu , Jianping He

In the context of ground robot navigation in unstructured hazardous environments, the coupling of efficient path planning with an adequate environment representation is a crucial topic in order to guarantee the robot safety while ensuring…

Robotics · Computer Science 2024-07-09 Quentin Serdel , Julien Marzat , Julien Moras

The deployment of robotic systems in real world environments requires the ability to quickly produce paths through cluttered, non-convex spaces. These planned trajectories must be both kinematically feasible (i.e., collision free) and…

Robotics · Computer Science 2024-11-21 Noel Csomay-Shanklin , William D. Compton , Aaron D. Ames

In this work, we propose a novel and efficient method for smoothing polylines in motion planning tasks. The algorithm applies to motion planning of vehicles with bounded curvature. In the paper, we show that the generated path: 1) has…

Robotics · Computer Science 2025-02-25 Patrick Pastorelli , Simone Dagnino , Enrico Saccon , Marco Frego , Luigi Palopoli

Safety-guaranteed motion planning is critical for self-driving cars to generate collision-free trajectories. A layered motion planning approach with decoupled path and speed planning is widely used for this purpose. This approach is prone…

Robotics · Computer Science 2022-10-03 Srujan Deolasee , Qin Lin , Jialun Li , John M. Dolan

In this paper, we present an online method for converting an arbitrary geometric path represented by a sequence of states, generated by any planner (e.g., sampling-based planners like RRT or PRM, search-based planners like ARA*, etc.), into…

Robotics · Computer Science 2026-03-03 Nermin Covic , Bakir Lacevic

In this paper, we study spline trajectory generation via the solution of two optimisation problems: (i) a quadratic program (QP) with linear equality constraints and (ii) a nonlinear and nonconvex optimisation program. We propose an…

Systems and Control · Electrical Eng. & Systems 2021-05-06 Declan Burke , Airlie Chapman , Iman Shames

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

This paper extends the gap-based navigation technique in Potential Gap by guaranteeing safety for nonholonomic robots for all tiers of the local planner hierarchy, so called Safer Gap. The first tier generates a Bezier-based collision-free…

Robotics · Computer Science 2023-03-16 Shiyu Feng , Ahmad Abuaish , Patricio A. Vela

Autonomous driving technology is rapidly evolving and becoming a pivotal element of modern automation systems. Effective decision-making and planning are essential to ensuring autonomous vehicles operate safely and efficiently in complex…

Robotics · Computer Science 2024-11-12 Zhicheng Zhang

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

A motion planning algorithm computes the motion of a robot by computing a path through its configuration space. To improve the runtime of motion planning algorithms, we propose to nest robots in each other, creating a nested quotient-space…

Robotics · Computer Science 2018-08-06 Andreas Orthey , Adrien Escande , Eiichi Yoshida

Feedback motion planning over cell decompositions provides a robust method for generating collision-free robot motion with formal guarantees. However, existing algorithms often produce paths with unnecessary bending, leading to slower…

Robotics · Computer Science 2026-04-16 Aref Amiri , Steven M. LaValle

Motion planning is a key element of robotics since it empowers a robot to navigate autonomously. Particle Swarm Optimization is a simple, yet a very powerful optimization technique which has been effectively used in many complex…

Robotics · Computer Science 2020-08-25 M. Shahab Alam , M. Usman Rafique , M. Umer Khan

We develop efficient algorithms for optimizing piecewise smooth (PWS) functions where the underlying partition of the domain into smooth pieces is \emph{unknown}. For PWS functions satisfying a quadratic growth (QG) condition, we propose a…

Optimization and Control · Mathematics 2025-07-28 Zhe Zhang , Suvrit Sra

We present a real-time safety filter for motion planning, including those that are learning-based, using Control Barrier Functions (CBFs) to provide formal guarantees for collision avoidance with road boundaries. A key feature of our…

Robotics · Computer Science 2026-03-25 Jianye Xu , Chang Che , Bassam Alrifaee

Robotic applications across industries demand advanced navigation for safe and smooth movement. Smooth path planning is crucial for mobile robots to ensure stable and efficient navigation, as it minimizes jerky movements and enhances…

Robotics · Computer Science 2024-05-06 Mahsa Mohaghegh , Hedieh Jafarpourdavatgar , Samaneh Alsadat Saeedinia

We present LQR-CBF-RRT*, an incremental sampling-based algorithm for offline motion planning. Our framework leverages the strength of Control Barrier Functions (CBFs) and Linear Quadratic Regulators (LQR) to generate safety-critical and…

Robotics · Computer Science 2023-09-28 Guang Yang , Mingyu Cai , Ahmad Ahmad , Amanda Prorok , Roberto Tron , Calin Belta

Continuous-time quantum walks (CTQWs) on dynamic graphs, referred to as dynamic CTQWs, are a recently introduced universal model of computation that offers a new paradigm in which to envision quantum algorithms. In this work we develop an…

Quantum Physics · Physics 2025-09-29 Alvin Gonzales , Rebekah Herrman , Colin Campbell , Igor Gaidai , Ji Liu , Teague Tomesh , Zain H. Saleem

Smooth and safe speed planning is imperative for the successful deployment of autonomous vehicles. This paper presents a mathematical formulation for the optimal speed planning of autonomous driving, which has been validated in…

Robotics · Computer Science 2024-01-15 Alexandre Miranda Anon , Sangjae Bae , Manish Saroya , David Isele
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