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In this paper, we address the problem of computing optimal paths through three consecutive points for the curvature-constrained forward moving Dubins vehicle. Given initial and final configurations of the Dubins vehicle, and a midpoint with…

Systems and Control · Computer Science 2016-09-22 Armin Sadeghi , Stephen L. Smith

The task of maneuvering a multi-steered articulated vehicle in confined environments is difficult even for experienced drivers. In this work, we present an optimization-based trajectory planner targeting low-speed maneuvers in unstructured…

Optimization and Control · Mathematics 2020-03-03 Oskar Ljungqvist , Kristoffer Bergman , Daniel Axehill

This paper investigates an efficient algorithm for trajectory planning problem of autonomous unmanned aerial vehicles which fly over three-dimensional terrains. The proposed algorithm combines convex optimization with disjunctive…

Optimization and Control · Mathematics 2018-07-10 Alireza Babaei , Amirhossein Karimi

We consider the problem of finding collision-free paths for curvature-constrained systems in the presence of obstacles while minimizing execution time. Specifically, we focus on the setting where a planar system can travel at some range of…

Robotics · Computer Science 2022-04-05 Doron Pinsky , Petr Váňa , Jan Faigl , Oren Salzman

This paper presents a game-theoretic path-following formulation where the opponent is an adversary road model. This formulation allows us to compute safe sets using tools from viability theory, that can be used as terminal constraints in an…

Robotics · Computer Science 2020-05-18 Alexander Liniger , Luc van Gool

Trajectory optimization offers mature tools for motion planning in high-dimensional spaces under dynamic constraints. However, when facing complex configuration spaces, cluttered with obstacles, roboticists typically fall back to…

Robotics · Computer Science 2022-05-10 Tobia Marcucci , Mark Petersen , David von Wrangel , Russ Tedrake

For real applications of unmanned aerial vehicles, the capability of navigating with full autonomy in unknown environments is a crucial requirement. However, planning a shorter path with less computing time is contradictory. To address this…

Robotics · Computer Science 2021-10-22 Han Chen , Shengyang Chen , Peng Lu , Chih-Yung Wen

Path generation, the process of converting high-level mission specifications, such as sequences of waypoints from a path planner, into smooth, executable paths, is a fundamental challenge in mobile robotics. Most path following and…

Robotics · Computer Science 2026-03-06 Alfredo González-Calvin , Juan F. Jiménez , Héctor García de Marina

This paper investigates the problem of computing a two-dimensional optimal curvature straight line (CS) shortest path for an unmanned aerial vehicle (UAV) to intercept a moving target, with both the UAV (pursuer) and target travelling at…

Optimization and Control · Mathematics 2025-07-03 Masuda Akter , Mohammed Mustafa Rizvi

Gradient-based trajectory optimization (GTO) has gained wide popularity for quadrotor trajectory replanning. However, it suffers from local minima, which is not only fatal to safety but also unfavorable for smooth navigation. In this paper,…

Robotics · Computer Science 2020-04-17 Boyu Zhou , Fei Gao , Jie Pan , Shaojie Shen

Optimization based motion planning provides a useful modeling framework through various costs and constraints. Using Graph of Convex Sets (GCS) for trajectory optimization gives guarantees of feasibility and optimality by representing…

Robotics · Computer Science 2025-04-15 Shruti Garg , Thomas Cohn , Russ Tedrake

Rapidly-exploring random tree (RRT) has been applied for autonomous parking due to quickly solving high-dimensional motion planning and easily reflecting constraints. However, planning time increases by the low probability of extending…

Robotics · Computer Science 2022-01-20 Minsoo Kim , Joonwoo Ahn , Jaeheung Park

Classical deterministic optimal control problems assume full information about the controlled process. The theory of control for general partially-observable processes is powerful, but the methods are computationally expensive and typically…

Optimization and Control · Mathematics 2024-08-02 Dongping Qi , Adam Dhillon , Alexander Vladimirsky

Self-driving vehicles rely on sensory input to monitor their surroundings and continuously adapt to the most likely future road course. Predictive trajectory planning is based on snapshots of the (uncertain) road course as a key input.…

Robotics · Computer Science 2025-09-24 Benjamin Bogenberger , Johannes Bürger , Vladislav Nenchev

The paper is concerned with elongating the shortest curvature-bounded path between two oriented points to an expected length. The elongation of curvature-bounded paths to an expected length is fundamentally important to plan missions for…

Optimization and Control · Mathematics 2024-01-04 Zheng Chen , Kun Wang , Yang Lu

This paper explores a rapid, optimal smooth path-planning algorithm for robots (e.g., autonomous vehicles) in point cloud environments. Derivative maps such as dense point clouds, mesh maps, Octomaps, etc. are frequently used for path…

Robotics · Computer Science 2022-11-15 Zhaoliang Zheng , Thomas R. Bewley , Falko Kuester , Jiaqi Ma

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

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

In recent decades, global path planning of robot has seen significant advancements. Both heuristic search-based methods and probability sampling-based methods have shown capabilities to find feasible solutions in complex scenarios. However,…

Robotics · Computer Science 2025-08-19 Zong Chen , Yiqun Li

A continuous motion planning method for connected automated vehicles is considered for generating feasible trajectories in real-time using three consecutive clothoids. The proposed method reduces path planning to a small set of nonlinear…

Robotics · Computer Science 2023-12-19 Sanghoon Oh , Qi Chen , H. Eric Tseng , Gaurav Pandey , Gabor Orosz