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Related papers: Efficient optimization-based trajectory planning

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Cutting plane methods, particularly outer approximation, are a well-established approach for solving nonlinear discrete optimization problems without relaxing the integrality of decision variables. While powerful in theory, their…

Optimization and Control · Mathematics 2025-11-04 Hòa T. Bùi , Alberto De Marchi

Fitting an unknown number of hyperplanes to data is a fundamental yet challenging problem in machine learning, characterized by its non-convexity, non-differentiability, and unknown model order. Existing approaches often struggle with local…

Machine Learning · Computer Science 2026-05-28 Zhiqin Cheng , Yu Zhan , Mingjin Zhang , Lingbo Liu , Liang Lin

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…

Robotics · Computer Science 2021-11-19 Yossi Magrisso , Ehud Rivlin , Hector Rotstein

In the path planning problem of autonomous application, the existing studies separately consider the path planning and trajectory tracking control of the autonomous vehicle and few of them have integrated the trajectory planning and…

Robotics · Computer Science 2019-05-10 Chao Huang , Boyuan Li , Masako Kishida

A core challenge of multi-robot interactions is collision avoidance among robots with potentially conflicting objectives. We propose a game-theoretic method for collision avoidance based on rotating hyperplane constraints. These constraints…

Robotics · Computer Science 2023-11-17 Fernando Palafox , Yue Yu , David Fridovich-Keil

Narrow passage path planning is a prevalent problem from industrial to household sites, often facing difficulties in finding feasible paths or requiring excessive computational resources. Given that deep penetration into the environment can…

Robotics · Computer Science 2024-10-29 Minji Lee , Jeongmin Lee , Dongjun Lee

This paper presents a novel approach for collision avoidance in optimal and model predictive control, in which the environment is represented by a large number of points and the robot as a union of padded polygons. The conditions that none…

Robotics · Computer Science 2026-03-24 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Rashmi Dabir , Moritz Diehl

Efficient trajectory generation in complex dynamic environments remains an open problem in the unmanned surface vehicle (USV). The perception of the USV is usually interfered with by the swing of the hull and the ambient weather, making it…

Robotics · Computer Science 2023-01-31 Tao Huang , Zhe Chen , Wang Gao , Zhenfeng Xue , Yong Liu

Given the spatial heterogeneity of land use patterns in most cities, large-scale UAM deployments will likely focus on specific areas, such as intertransfer traffic between suburbs and city centers. However, large-scale UAM operations…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Canqiang Weng , Can Chen , Jingjun Tan , Tianlu Pan , Renxin Zhong

Safe trajectory planning for high-performance automated vehicles in an environment with both static and moving obstacles is a challenging problem. Part of the challenge is developing a formulation that can be solved in real-time while…

Systems and Control · Electrical Eng. & Systems 2020-01-29 Huckleberry Febbo , Paramsothy Jayakumar , Jeffrey L. Stein , Tulga Ersal

Navigation and guidance of autonomous vehicles is a fundamental problem in robotics, which has attracted intensive research in recent decades. This report is mainly concerned with provable collision avoidance of multiple autonomous vehicles…

Optimization and Control · Mathematics 2014-01-28 Michael Hoy

This work presents a trajectory planning method based on composite Bernstein polynomials for autonomous systems navigating complex environments. The method is implemented in a symbolic optimization framework that enables continuous paths…

Robotics · Computer Science 2026-02-12 Nick Gorman , Gage MacLin , Maxwell Hammond , Venanzio Cichella

Online planning of collision-free trajectories is a fundamental task for robotics and self-driving car applications. This paper revisits collision avoidance between ellipsoidal objects using differentiable constraints. Two ellipsoids do not…

Robotics · Computer Science 2025-04-28 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Boris Houska , Moritz Diehl

Multi-modal behaviors exhibited by surrounding vehicles (SVs) can typically lead to traffic congestion and reduce the travel efficiency of autonomous vehicles (AVs) in dense traffic. This paper proposes a real-time parallel trajectory…

Robotics · Computer Science 2023-09-12 Lei Zheng , Rui Yang , Zengqi Peng , Haichao Liu , Michael Yu Wang , Jun Ma

For accomplishing a variety of missions in challenging environments, the capability of navigating with full autonomy while avoiding unexpected obstacles is the most crucial requirement for UAVs in real applications. In this paper, we…

Robotics · Computer Science 2020-12-29 Han Chen , Peng Lu

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…

Optimization and Control · Mathematics 2025-07-01 Saif R. Kazi , Harsha Nagarajan , Hassan Hijazi , Przemek Wozniak

In this paper we address the speed planning problem for a vehicle along a predefined path. A weighted sum of two conflicting objectives, energy consumption and travel time, is minimized. After deriving a non-convex mathematical model of the…

Optimization and Control · Mathematics 2025-10-29 Luca Consolini , Mattia Laurini , Marco Locatelli

To generate safe and real-time trajectories for an autonomous vehicle in dynamic environments, path and speed decoupled planning methods are often considered. This paper studies speed planning, which mainly deals with dynamic obstacle…

Robotics · Computer Science 2021-04-26 Jialun Li , Xiaojia Xie , Hengbo Ma , Xiao Liu , Jianping He

We address the problem of optimally controlling Connected and Automated Vehicles (CAVs) arriving from four multi-lane roads at an intersection where they conflict in terms of safely crossing (including turns) with no collision. The…

Systems and Control · Electrical Eng. & Systems 2020-10-07 Huile Xu , Wei Xiao , Christos G. Cassandras , Yi Zhang , Li Li

This paper presents a robust path-planning framework for safe spacecraft autonomy under uncertainty and develops a computationally tractable formulation based on convex programming. We utilize chance-constrained control to formulate the…

Optimization and Control · Mathematics 2024-04-19 Kenshiro Oguri
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