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Unmanned aerial vehicle (UAV) use continues to increase, including operating beyond line of sight in unknown environments where the vehicle must autonomously generate a trajectory to safely navigate. In this article, we develop a trajectory…

Optimization and Control · Mathematics 2018-04-13 Kenan Cole , Adam Wickenheiser

We present successive convexification, a real-time-capable solution method for nonconvex trajectory optimization, with continuous-time constraint satisfaction and guaranteed convergence, that only requires first-order information. The…

Optimization and Control · Mathematics 2024-04-26 Purnanand Elango , Dayou Luo , Abhinav G. Kamath , Samet Uzun , Taewan Kim , Behçet Açıkmeşe

Trajectory simplification is a problem encountered in areas like Robot programming by demonstration, CAD/CAM, computer vision, and in GPS-based applications like traffic analysis. This problem entails reduction of the points in a given…

Computer Vision and Pattern Recognition · Computer Science 2016-08-29 Daniel L. Marino , Milos Manic

In this paper, we present a novel strategy to compute minimum-time trajectories for quadrotors in constrained environments. In particular, we consider the motion in a given flying region with obstacles and take into account the physical…

Optimization and Control · Mathematics 2017-06-22 Sara Spedicato , Giuseppe Notarstefano

In the real-time decision-making and local planning process of autonomous vehicles in dynamic environments, the autonomous driving system may fail to find a reasonable policy or even gets trapped in some situation due to the complexity of…

Robotics · Computer Science 2019-09-18 Lilin Qian , Xin Xu , Yujun Zeng , Xiaohui Li , Zhenping Sun , Hang Song

We consider joint trajectory generation and tracking control for under-actuated robotic systems. A common solution is to use a layered control architecture, where the top layer uses a simplified model of system dynamics for trajectory…

Robotics · Computer Science 2023-07-27 Anusha Srikanthan , Fengjun Yang , Igor Spasojevic , Dinesh Thakur , Vijay Kumar , Nikolai Matni

Being able to rapidly respond to the changing scenes and traffic situations by generating feasible local paths is of pivotal importance for car autonomy. We propose to train a deep neural network (DNN) to plan feasible and nearly-optimal…

Robotics · Computer Science 2023-01-26 Piotr Kicki , Tomasz Gawron , Krzysztof Ćwian , Mete Ozay , Piotr Skrzypczyński

We consider the problem of optimal unsignalized intersection management, wherein we seek to obtain safe and optimal trajectories, for a set of robots that arrive randomly and continually. This problem involves repeatedly solving a mixed…

Robotics · Computer Science 2024-08-08 Nishchal Hoysal G. , Pavankumar Tallapragada

Time-jerk optimal trajectory planning is crucial in advancing robotic arms' performance in dynamic tasks. Traditional methods rely on solving complex nonlinear programming problems, bringing significant delays in generating optimized…

Robotics · Computer Science 2024-03-27 Beibei Zhang , Tian Xiang , Chentao Mao , Yuhua Zheng , Shuai Li , Haoyi Niu , Xiangming Xi , Wenyuan Bai , Feng Gao

In this study a new approach is proposed for the generation of aircraft trajectories. The relative guidance of an aircraft, which is aimed to join in minimum time the track of a leader aircraft, is particularly considered. In a first place,…

Optimization and Control · Mathematics 2013-02-21 Mohammad Shahzad , Félix Mora-Camino , Jules Ghislain Slama , Karim Achaibou

This paper introduces a novel numerical approach to achieving smooth lane-change trajectories in autonomous driving scenarios. Our trajectory generation approach leverages particle swarm optimization (PSO) techniques, incorporating Neural…

Robotics · Computer Science 2024-02-05 Lin Song , David Isele , Naira Hovakimyan , Sangjae Bae

UAV trajectory planning is often done in a two-step approach, where a low-dimensional path is refined to a dynamic trajectory. The resulting trajectories are only locally optimal, however. On the other hand, direct planning in…

Robotics · Computer Science 2022-05-05 Sebastian Schräder , Daniel Schleich , Sven Behnke

This paper presents a method based on linear programming for trajectory planning of automated vehicles, combining obstacle avoidance, time scheduling for the reaching of waypoints and time-optimal traversal of tube-like road segments.…

Systems and Control · Computer Science 2017-07-25 Mogens Graf Plessen

In drone racing, the time-minimum trajectory is affected by the drone's capabilities, the layout of the race track, and the configurations of the gates (e.g., their shapes and sizes). However, previous studies neglect the configuration of…

Robotics · Computer Science 2024-05-07 Chao Qin , Maxime S. J. Michet , Jingxiang Chen , Hugh H. -T. Liu

Differential drive robots are widely used in various scenarios thanks to their straightforward principle, from household service robots to disaster response field robots. There are several types of driving mechanisms for real-world…

Robotics · Computer Science 2025-05-30 Mengke Zhang , Nanhe Chen , Hu Wang , Jianxiong Qiu , Zhichao Han , Qiuyu Ren , Chao Xu , Fei Gao , Yanjun Cao

In the racetrack acceleration model, proposed by Martin Gardner in 1973, each step consists of changing the position of the vehicle by a vector in $\mathbb{Z}^2$, with the constraints that two consecutive vectors differ by at most one unit…

Computational Geometry · Computer Science 2026-02-26 Arnaud Casteigts , Matteo De Francesco , Pierre Leone

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

Car following models have been widely applied and made remarkable achievements in traffic engineering. However, the traffic micro-simulation accuracy of car following models in a platoon level, especially during traffic oscillations, still…

Machine Learning · Computer Science 2019-10-28 Yangxin Lin , Ping Wang , Yang Zhou , Fan Ding , Chen Wang , Huachun Tan

We propose a novel B-spline trajectory optimization method for autonomous racing. We consider the unavailability of sophisticated race car and race track dynamics in early-stage autonomous motorsports development and derive methods that…

Robotics · Computer Science 2023-09-19 Haoru Xue , Tianwei Yue , John M. Dolan

Sequential convex programming has been established as an effective framework for solving nonconvex trajectory planning problems. However, its performance is highly sensitive to problem parameters, including trajectory variables, algorithmic…

Optimization and Control · Mathematics 2025-12-09 Ziqi Xu , Lin Cheng , Di Wu , Shengping Gong
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