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This work develops feasible path trajectories for a coordinated strike with multiple aircraft in a constrained environment. Using direct orthogonal collocation methods, the two-point boundary value optimal control problem is transcribed…

最优化与控制 · 数学 2023-03-31 Michael D. Zollars , David J. Grymin , Isaac E. Weintraub

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,…

最优化与控制 · 数学 2023-04-14 Maksim Buzikov , Andrey Galyaev

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…

最优化与控制 · 数学 2024-12-09 Fanchen Wu , Zheng Chen

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…

系统与控制 · 电气工程与系统科学 2025-06-25 Daniel Maldonado Naranjo , Anuradha M. Annaswamy

This paper is based on a crucial issue in the aviation world: how to optimize the trajectory and controls given to the aircraft in order to optimize flight time and fuel consumption. This study aims to provide elements of a response to this…

最优化与控制 · 数学 2024-08-15 Gaofeng Su , Xi Cheng , Siyuan Feng , Ke Liu , Jilin Song , Jianan Chen , Chen Zhu , Hui Lin

We formulate a novel planar motion planning problem for a Dubins-Laser system that consists of a Dubins vehicle with an attached controllable laser. The vehicle moves with unit speed and the laser, having a finite range, can rotate in a…

系统与控制 · 电气工程与系统科学 2024-03-20 Shivam Bajaj , Bhargav Jha , Shaunak D. Bopardikar , Alexander Von Moll , David W. Casbeer

This paper is concerned with a Minimum-Time Intercept Problem (MTIP), for which a Dubins vehicle is guided from a position with a prescribed initial orientation angle to intercept a moving target in minimum time. Some geometric properties…

最优化与控制 · 数学 2020-12-23 Yuan Zheng , Xueming Shao , Zheng Chen , Wenjie Zhao

We solve the problem concerning a time optimal return of a particle with a prescribed velocity to the origin by applying a magnitude-bounded force. The equations of controlled motion are derived and explicitly integrated, and the optimal…

最优化与控制 · 数学 2008-11-20 Aleksandr Koshelev

In this paper, a model of a pair of Dubins vehicles is considered. The vehicles move from an initial position and orientation to final position and orientation. A long the motion, the two vehicles are not allowed to collide however the two…

机器人学 · 计算机科学 2008-05-01 Heru Tjahjana , Iwan Pranoto , Hari Muhammad , J. Naiborhu , Miswanto

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…

最优化与控制 · 数学 2025-01-28 M. Akter , M. M. Rizvi , M. Forkan

In this study, we propose an algorithmic framework for solving a class of optimal control problems. This class is associated with the minimum-time interception of moving target problems, where a plant with a given state equation must…

最优化与控制 · 数学 2023-06-21 Maksim Buzikov

In this work, we propose a method to efficiently compute smooth, time-optimal trajectories for micro aerial vehicles (MAVs) evading a moving obstacle. Our approach first computes an n-dimensional trajectory from the start- to an arbitrary…

机器人学 · 计算机科学 2019-08-07 Marius Beul , Sven Behnke

This article solves an optimal control problem arising in attitude control of a spacecraft under state and control constraints. We first derive the discrete-time attitude dynamics by employing discrete mechanics. The orientation transfer,…

系统与控制 · 计算机科学 2017-11-27 Karmvir Singh Phogat , Debasish Chatterjee , Ravi Banavar

The specific objective of this paper is to develop a tool that calculates the optimal trajectory of the follower aircraft as it completes a formation rejoin, and then maintains the formation position, defined as a ring of points, until a…

最优化与控制 · 数学 2022-10-05 Carl A. Gotwald , Michael D. Zollars , Isaac E. Weintraub

Efficient real-time trajectory planning and control for fixed-wing unmanned aerial vehicles is challenging due to their non-holonomic nature, complex dynamics, and the additional uncertainties introduced by unknown aerodynamic effects. In…

This paper presents a method of finding the shortest path for an unmanned aerial vehicle (UAV) flying from an initial point to a target line at a constant altitude. The length of a Dubins path is derived as a function of the final position…

最优化与控制 · 数学 2021-04-05 Dongsin Kim , Keumjin Lee

In this paper, we give a control approach to follow a trajectory for a Dubins car controlling the heading independently. The difficulty is that the Dubins car should have a heading corresponding to the argument of the vector speed of the…

最优化与控制 · 数学 2024-12-05 Luc Jaulin

We study a time minimization problem on the group of motions of a plane with admissible control in a half-disk. The considered control system describes a model of a car that can move forward on a plane and turn in place. Optimal…

最优化与控制 · 数学 2022-06-29 Alexey Mashtakov

To perform autonomous driving maneuvers, such as parallel or perpendicular parking, a vehicle requires continual speed and steering adjustments to follow a generated path. In consequence, the path's quality is a limiting factor of the…

系统与控制 · 电气工程与系统科学 2025-05-14 Jason Zalev

We investigate the problem of finding paths that enable a robot modeled as a Dubins car (i.e., a constant-speed finite-turn-rate unicycle) to escape from a circular region of space in minimum time. This minimum-time escape problem arises in…

系统与控制 · 电气工程与系统科学 2022-11-04 Timothy L. Molloy , Iman Shames
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