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This paper proposes a GPU-accelerated optimization framework for collision avoidance problems where the controlled objects and the obstacles can be modeled as the finite union of convex polyhedra. A novel collision avoidance constraint is…

机器人学 · 计算机科学 2024-06-12 Zeming Wu , Zhuping Wang , Hao Zhang

We consider the problem of incentivization and optimal control of autonomous vehicles for improving traffic congestion. In our scenario, autonomous vehicles must be incentivized in order to participate in traffic improvement. Using the…

最优化与控制 · 数学 2020-06-18 Uroš Kalabić , Piyush Grover , Shuchin Aeron

We propose factor graph optimization for simultaneous planning, control, and trajectory estimation for collision-free navigation of autonomous systems in environments with moving objects. The proposed online probabilistic motion planning…

机器人学 · 计算机科学 2022-04-29 Matthew King-Smith , Panagiotis Tsiotras , Frank Dellaert

This paper describes autonomous racing of RC race cars based on mathematical optimization. Using a dynamical model of the vehicle, control inputs are computed by receding horizon based controllers, where the objective is to maximize…

最优化与控制 · 数学 2017-11-21 Alexander Liniger , Alexander Domahidi , Manfred Morari

This paper focuses on automatic guided vehicle (AGV) trajectory planning in the presence of moving obstacles with known but complicated trajectories. In order to achieve good solution precision, optimality and unification, the concerned…

机器人学 · 计算机科学 2021-04-06 Bai Li , Youmin Zhang , Yakun Ouyang , Yi Liu , Xiang Zhong , Hangjie Cen , Qi Kong

This paper addresses the problem of trajectory optimization for an unmanned surface vehicle while considering direction-dependent ocean currents and flexible refueling constraints. This work is motivated by the rising interest in developing…

系统与控制 · 电气工程与系统科学 2020-11-20 Aaron Kandel , Chu Xu , David Cardona , Carey Whitehair

Modeling and evaluation of automated vehicles (AVs) in mixed-autonomy traffic is essential prior to their safe and efficient deployment. This is especially important at urban junctions where complex multi-agent interactions occur. Current…

最优化与控制 · 数学 2025-07-30 Saeed Rahmani , Simeon C. Calvert , Bart van Arem

Joint space trajectory optimization under end-effector task constraints leads to a challenging non-convex problem. Thus, a real-time adaptation of prior computed trajectories to perturbation in task constraints often becomes intractable.…

An important capability of autonomous Unmanned Aerial Vehicles (UAVs) is autonomous landing while avoiding collision with obstacles in the process. Such capability requires real-time local trajectory planning. Although trajectory-planning…

机器人学 · 计算机科学 2021-11-19 Yossi Magrisso , Ehud Rivlin , Hector Rotstein

We consider the problem of designing a smooth trajectory that traverses a sequence of convex sets in minimum time, while satisfying given velocity and acceleration constraints. This problem is naturally formulated as a nonconvex program. To…

机器人学 · 计算机科学 2025-04-29 Tobia Marcucci , Mathew Halm , Will Yang , Dongchan Lee , Andrew D. Marchese

This paper presents a hierarchical planning algorithm for racing with multiple opponents. The two-stage approach consists of a high-level behavioral planning step and a low-level optimization step. By combining discrete and continuous…

机器人学 · 计算机科学 2026-04-29 Georg Jank , Matthias Rowold , Boris Lohmann

A control optimization approach is presented for a chaser spacecraft tasked with maintaining proximity to a target space object while avoiding collisions. The target object trajectory is provided numerically to account for both passive…

最优化与控制 · 数学 2025-07-01 Saif R. Kazi , Harsha Nagarajan , Hassan Hijazi , Przemek Wozniak

This research focuses on trajectory planning problems for autonomous vehicles utilizing numerical optimal control techniques. The study reformulates the constrained optimization problem into a nonlinear programming problem, incorporating…

机器人学 · 计算机科学 2023-12-13 Jiayu Fan , Nikolce Murgovski , Jun Liang

Motion planning for urban environments with numerous moving agents can be viewed as a combinatorial problem. With passing an obstacle before, after, right or left, there are multiple options an autonomous vehicle could choose to execute.…

机器人学 · 计算机科学 2022-07-12 Klemens Esterle , Patrick Hart , Julian Bernhard , Alois Knoll

Path planning in dynamic environments is essential to high-risk applications such as unmanned aerial vehicles, self-driving cars, and autonomous underwater vehicles. In this paper, we generate collision-free trajectories for a robot within…

机器人学 · 计算机科学 2020-07-30 Sourav Dutta , Tuan Tran , Banafsheh Rekabdar , Chinwe Ekenna

Trajectory optimization is an important tool for control and planning of complex, underactuated robots, and has shown impressive results in real world robotic tasks. However, in applications where the cost function to be optimized is…

机器人学 · 计算机科学 2020-04-02 Anirudh Vemula , J. Andrew Bagnell

Abstract: we present a framework for robust autonomous driving motion planning system in urban environments which includes trajectory refinement, trajectory interpolation, avoidance of static and dynamic obstacles, and trajectory tracking.…

系统与控制 · 电气工程与系统科学 2019-12-11 Yuncheng Jiang , Xiaofeng Jin , Yanfei Xiong , Zhaoyong Liu

We present a framework wherein the trajectory optimization problem (or a problem involving calculus of variations) is formulated as a search problem in a discrete space. A distinctive feature of our work is the treatment of discretization…

最优化与控制 · 数学 2022-12-22 Alok Shukla , Prakash Vedula

One of the fundamental tasks of autonomous driving is safe trajectory planning, the task of deciding where the vehicle needs to drive, while avoiding obstacles, obeying safety rules, and respecting the fundamental limits of road. Real-world…

机器人学 · 计算机科学 2025-03-26 Milin Patel , Marzana Khatun , Rolf Jung , Michael Glaß

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…

机器人学 · 计算机科学 2023-12-06 Wytze A. B. de Vries , Ming Li , Qirui Song , Zhiyong Sun