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Traditional methods for autonomous driving are implemented with many building blocks from perception, planning and control, making them difficult to generalize to varied scenarios due to complex assumptions and interdependencies. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Peide Cai , Yuxiang Sun , Hengli Wang , Ming Liu

In this paper a framework for solving the time optimal control (TOC) using Galerkin's Weighted Residuals Method (GWRM) and Sequential Convex Programming (SCP) is proposed. The proposed method solves the two-point boundary value problem,…

Systems and Control · Electrical Eng. & Systems 2023-11-20 Jose A. Solano-Castellanos

The computation of time-optimal velocity profiles along prescribed paths, subject to generic acceleration constraints, is a crucial problem in robot trajectory planning, with particular relevance to autonomous racing. However, the existing…

Robotics · Computer Science 2026-01-08 Mattia Piazza , Mattia Piccinini , Sebastiano Taddei , Francesco Biral , Enrico Bertolazzi

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

Mobility trajectories are essential for understanding urban dynamics and enhancing urban planning, yet access to such data is frequently hindered by privacy concerns. This research introduces a transformative framework for generating…

Existing approaches to trajectory planning for autonomous racing employ sampling-based methods, generating numerous jerk-optimal trajectories and selecting the most favorable feasible trajectory based on a cost function penalizing…

Robotics · Computer Science 2024-07-26 Levent Ögretmen , Matthias Rowold , Alexander Langmann , Boris Lohmann

The six-degree-of-freedom (6-DOF) robotic arm has gained widespread application in human-coexisting environments. While previous research has predominantly focused on functional motion generation, the critical aspect of expressive motion in…

Robotics · Computer Science 2025-03-14 Jiansheng Li , Haotian Song , Jinni Zhou , Qiang Nie , Yi Cai

Autonomous trajectory generation for unmanned aerial vehicles (UAVs) in unknown environments continues to be an important research area as UAVs become more prolific. We define a trajectory generation algorithm for a vehicle in an unknown…

Optimization and Control · Mathematics 2017-07-21 Kenan Cole , Adam Wickenheiser

Traffic congestion has lead to an increasing emphasis on management measures for a more efficient utilization of existing infrastructure. In this context, this paper proposes a novel framework that integrates real-time optimization of…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Samarth Gupta , Ravi Seshadri , Bilge Atasoy , A. Arun Prakash , Francisco Pereira , Gary Tan , Moshe Ben-Akiva

This paper presents a numerical optimization algorithm for generating approach and landing trajectories for a six-degree-of-freedom (6-DoF) aircraft. We improve on the existing research on aircraft landing trajectory generation by…

Optimization and Control · Mathematics 2025-06-12 Taewan Kim , Abhinav G. Kamath , Niyousha Rahimi , Jasper Corleis , Behçet Açıkmeşe , Mehran Mesbahi

Human mobility modeling from GPS-trajectories and synthetic trajectory generation are crucial for various applications, such as urban planning, disaster management and epidemiology. Both of these tasks often require filling gaps in a…

Machine Learning · Computer Science 2024-11-08 Shang-Ling Hsu , Emmanuel Tung , John Krumm , Cyrus Shahabi , Khurram Shafique

Robot path planning is difficult to solve due to the contradiction between optimality of results and complexity of algorithms, even in 2D environments. To find an optimal path, the algorithm needs to search all the state space, which costs…

Robotics · Computer Science 2020-12-08 Zhaoting Li , Jiankun Wang , Max Q. -H. Meng

Autonomous drone racing is becoming an excellent platform to challenge quadrotors' autonomy techniques including planning, navigation and control technologies. However, most research on this topic mainly focuses on single drone scenarios.…

Robotics · Computer Science 2023-03-03 Yuyang Shen , Jinming Xu , Jin Zhou , Danzhe Xu , Fangguo Zhao , Jiming Chen , Shuo Li

We present True{\AE}dapt, a model-free method to learn online adaptations of robot trajectories based on their effects on the environment. Given sensory feedback and future waypoints of the original trajectory, a neural network is trained…

Robotics · Computer Science 2020-10-20 Jonas C. Kiemel , Robin Weitemeyer , Pascal Meißner , Torsten Kröger

A theoretical optimization method of high-harmonic-generation (HHG) is developed in the framework of optimal-control-theory (OCT). The target of optimization is the emission radiation of a particular frequency. The OCT formulation includes…

Quantum Physics · Physics 2020-02-19 Ido Schaefer , Ronnie Kosloff

Trajectory optimization (TO) is an efficient tool to generate a redundant manipulator's joint trajectory following a 6-dimensional Cartesian path. The optimization performance largely depends on the quality of initial trajectories. However,…

Robotics · Computer Science 2026-02-10 Minsung Yoon , Mincheul Kang , Daehyung Park , Sung-Eui Yoon

This paper presents a two-step algorithm for online trajectory planning in indoor environments with unknown obstacles. In the first step, sampling-based path planning techniques such as the optimal Rapidly exploring Random Tree (RRT*)…

Robotics · Computer Science 2023-02-07 Martin Zimmermann , Minh Nhat Vu , Florian Beck , Anh Nguyen , Andreas Kugi

In this paper, we propose an alternating optimization method to address a time-optimal trajectory generation problem. Different from the existing solutions, our approach introduces a new formulation that minimizes the overall trajectory…

Robotics · Computer Science 2023-12-06 Wytze A. B. de Vries , Ming Li , Qirui Song , Zhiyong Sun

We address the challenge of real-time planning of minimum-time trajectories over multiple waypoints, onboard multirotor UAVs. Previous works demonstrated that achieving a truly time-optimal trajectory is computationally too demanding to…

Robotics · Computer Science 2024-10-01 Krystof Teissing , Matej Novosad , Robert Penicka , Martin Saska

Offline reinforcement learning (RL) has emerged as a promising framework for addressing robot social navigation challenges. However, inherent uncertainties in pedestrian behavior and limited environmental interaction during training often…

Robotics · Computer Science 2025-10-02 Run Su , Hao Fu , Shuai Zhou , Yingao Fu