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This paper is concerned with the minimum-time path-planning problem for a Dubins airplane under the influence of steady wind. The path-planning problem, by transforming into the air-relative frame, is equivalent to finding the minimum-time…

Optimization and Control · Mathematics 2024-12-09 Fanchen Wu , Zheng Chen

The Dubins path problem had enormous applications in path planning for autonomous vehicles. In this paper, we consider a generalization of the Dubins path planning problem, which is to find a shortest Dubins path that starts from a given…

Optimization and Control · Mathematics 2018-04-20 Satyanarayana Gupta Manyam , David Casbeer , Alexander Von Moll , Zachary Fuchs

This paper addresses the Dubins path planning problem for vehicles in 3D space. In particular, we consider the problem of computing CSC paths -- paths that consist of a circular arc (C) followed by a straight segment (S) followed by a…

Robotics · Computer Science 2025-03-17 Ling Xu , Yuliy Baryshnikov , Cynthia Sung

As UAV popularity soars, so does the mission planning associated with it. The classical approaches suffer from the triple problems of decoupled of task assignment and path planning, poor real-time performance and limited adaptability.…

Robotics · Computer Science 2025-06-04 Chenglou Liu , Yufeng Lu , Fangfang Xie , Tingwei Ji , Yao Zheng

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

Path planning for multiple unmanned aerial vehicles is a difficult task, and even more for a fleet of fixed-wing aircraft. One specific case is the transition to, or between, formation flight patterns, which requires synchronous arrivals…

Optimization and Control · Mathematics 2026-03-24 Maël Feurgard , Gautier Hattenberger , Nicolas Durand , Simon Lacroix

We present an analytic solution to the 3D Dubins path problem for paths composed of an initial circular arc, a straight component, and a final circular arc. These are commonly called CSC paths. By modeling the start and goal configurations…

Robotics · Computer Science 2024-05-15 Victor M. Baez , Nikhil Navkar , Aaron T. Becker

This paper is concerned with characterizing the shortest path of a Dubins vehicle from a position with a prescribed heading angle to a target circle with the final heading tangential to the target circle. Such a shortest path is of…

Optimization and Control · Mathematics 2020-04-08 Zheng Chen

In this paper, we present strategies for designing curvature-bounded trajectories of any desired length between any two given oriented points. The proposed trajectory is constructed by the concatenation of three circular arcs of varying…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Aditya K. Rao , Twinkle Tripathy

Path planning is crucial for the efficient operation of Autonomous Mobile Robots (AMRs) in factory environments. Many existing algorithms rely on Dubins paths, which have been adapted for various applications. However, an efficient method…

Robotics · Computer Science 2025-06-24 Xuanhao Huang , Chao-Bo Yan

Computing shortest paths for curvature-constrained Dubins vehicles on the unit sphere is fundamental to many engineering applications, including long-range flight planning, persistent surveillance patterns, and global routing problems where…

Geophysics · Physics 2026-01-06 Linhong Li , Qi Feng , Yangang Liang , Kebo Li

The paper develops a novel motion model, called Generalized Multi-Speed Dubins Motion Model (GMDM), which extends the Dubins model by considering multiple speeds. While the Dubins model produces time-optimal paths under a constant speed…

Robotics · Computer Science 2025-04-14 James P. Wilson , Shalabh Gupta , Thomas A. Wettergren

This paper presents the problem of lateral interception by a Dubins car of a target that moves along an a priori known trajectory. This trajectory is given by two coordinates of a planar location and one angle of a heading orientation,…

Optimization and Control · Mathematics 2023-04-14 Maksim Buzikov , Andrey Galyaev

Time-optimal path planning in high winds for a turning-rate constrained UAV is a challenging problem to solve and is important for deployment and field operations. Previous works have used trochoidal path segments comprising straight and…

Robotics · Computer Science 2023-12-05 Brady Moon , Sagar Sachdev , Junbin Yuan , Sebastian Scherer

The control of a Dubins Vehicle when subjected to a loss of control effectiveness in the turning rate is considered. A complex state-space representation is used to model the vehicle dynamics. An adaptive control design is proposed, with…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Daniel Maldonado Naranjo , Anuradha M. Annaswamy

The AUV three-dimension path planning in complex turbulent underwater environment is investigated in this research, in which static current map data and uncertain static-moving time variant obstacles are taken into account. Robustness of…

Robotics · Computer Science 2016-12-06 S. Mahmoud Zadeh , D. M. W. Powers , A. Yazdani , K. Sammut , A Atyabi

In this paper, we propose a new modeling approach and a fast algorithm for 3D motion planning, applicable for fixed-wing unmanned aerial vehicles. The goal is to construct the shortest path connecting given initial and final configurations…

Robotics · Computer Science 2026-05-19 Deepak Prakash Kumar , Swaroop Darbha , Satyanarayana Gupta Manyam , David W. Casbeer

In this paper, motion planning for a Dubins vehicle on a unit sphere to attain a desired final location is considered. The radius of the Dubins path on the sphere is lower bounded by $r$. In a previous study, this problem was addressed,…

Optimization and Control · Mathematics 2024-09-17 Deepak Prakash Kumar , Swaroop Darbha , Satyanarayana Gupta Manyam , David Casbeer

The problem of finding the shortest path for a vehicle visiting a given sequence of target points subject to the motion constraints of the vehicle is an important problem that arises in several monitoring and surveillance applications…

Robotics · Computer Science 2016-04-19 Sivakumar Rathinam , Pramod Khargonekar

This paper is concerned with determining the shortest path for a pursuer aiming to intercept a moving target travelling at a constant speed. To address this challenge, we introduce an efficient mathematical model outlined as an optimal…

Optimization and Control · Mathematics 2025-01-28 M. Akter , M. M. Rizvi , M. Forkan
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