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Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

Optimization and Control · Mathematics 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer

Planning a safe and feasible trajectory for autonomous vehicles in real-time by fully utilizing perceptual information in complex urban environments is challenging. In this paper, we propose a spatio-temporal trajectory planning method…

Robotics · Computer Science 2025-02-26 Shan He , Yalong Ma , Tao Song , Yongzhi Jiang , Xinkai Wu

This paper proposes a novel methodology for trajectory planning in autonomous vehicles (AVs), addressing the complex challenge of negotiating speed bumps within a unified Mixed-Integer Quadratic Programming (MIQP) framework. By leveraging…

In this paper we present a method for automatically generating optimal robot trajectories satisfying high level mission specifications. The motion of the robot in the environment is modeled as a general transition system, enhanced with…

Robotics · Computer Science 2010-07-16 Stephen L. Smith , Jana Tumova , Calin Belta , Daniela Rus

Though great effort has been put into the study of path planning on urban roads and highways, few works have studied the driving strategy and trajectory planning in low-speed driving scenarios, e.g., driving on a university campus or…

Robotics · Computer Science 2019-04-05 Yuying Chen , Haoyang Ye , Ming Liu

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.…

Robotics · Computer Science 2022-07-12 Klemens Esterle , Patrick Hart , Julian Bernhard , Alois Knoll

Path Planning and target searching in a three-dimensional environment is a challenging task in the field of robotics. It is an optimization problem as the path from source to destination has to be optimal. This paper aims to generate a…

Artificial Intelligence · Computer Science 2019-11-07 Devansh Verma , Priyansh Saxena , Ritu Tiwari

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

The urban environment is amongst the most difficult domains for autonomous vehicles. The vehicle must be able to plan a safe route on challenging road layouts, in the presence of various dynamic traffic participants such as vehicles,…

Optimization and Control · Mathematics 2022-10-06 Robin Smit , Chris van der Ploeg , Arjan Teerhuis , Emilia Silvas

To be applicable to real world scenarios trajectory planning schemes for mobile autonomous systems must be able to efficiently deal with obstacles in the area of operation. In the context of optimization based trajectory planning and…

Optimization and Control · Mathematics 2021-04-27 Max Lutz , Thomas Meurer

Safety guarantees in motion planning for autonomous driving typically involve certifying the trajectory to be collision-free under any motion of the uncontrollable participants in the environment, such as the human-driven vehicles on the…

Robotics · Computer Science 2023-01-02 Fang Da

Real-time kinodynamic trajectory planning in dynamic environments is critical yet challenging for autonomous driving. In this letter, we propose an efficient trajectory planning system for autonomous driving in complex dynamic scenarios…

Robotics · Computer Science 2022-05-25 Cheng Jie , Chen Yingbing , Zhang Qingwen , Gan Lu , Liu Ming

We present an optimization-based method to plan the motion of an autonomous robot under the uncertainties associated with dynamic obstacles, such as humans. Our method bounds the marginal risk of collisions at each point in time by…

Robotics · Computer Science 2021-03-24 O. de Groot , B. Brito , L. Ferranti , D. Gavrila , J. Alonso-Mora

Motion planning for manipulators under task space constraints is difficult as it constrains the joint configurations to always lie on an implicitly defined manifold. It is possible to view task constrained motion planning as an optimization…

Robotics · Computer Science 2018-03-13 Arun Kumar Singh , Reza Ghabcheloo , Andreas Muller , Harit Pandya

In this paper we treat optimal trajectory planning for an autonomous vehicle (AV) operating in dense traffic, where vehicles closely interact with each other. To tackle this problem, we present a novel framework that couples trajectory…

Systems and Control · Electrical Eng. & Systems 2023-08-28 Erik Börve , Nikolce Murgovski , Leo Laine

This paper proposes a novel and efficient optimization-based method for generating near time-optimal trajectories for holonomic vehicles navigating through complex but structured environments. The approach aims to solve the problem of…

Optimization and Control · Mathematics 2026-02-04 Louis Callens , Bastiaan Vandewal , Ibrahim Ibrahim , Jan Swevers , Wilm Decré

In this paper, we consider the problem of optimizing the trajectory of an Unmanned Aerial Vehicle (UAV) Base Station (BS). We consider a map characterized by a traffic intensity of users to be served. The UAV BS must travel from a given…

Optimization and Control · Mathematics 2018-12-21 Marceau Coupechoux , Jérôme Darbon , Jean-Marc Kélif , Marc Sigelle

For multi-vehicle complex traffic scenarios in shared spaces such as intelligent intersections, safe coordination and trajectory planning is challenging due to computational complexity. To meet this challenge, we introduce a computationally…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Amirreza Akbari , Johan Thunberg

This paper presents a triple optimization algorithm of two-dimensional space, driving path and driving speed, and iterates in the time dimension to obtain the local optimal solution of path and speed in the optimal driving area. Design…

Robotics · Computer Science 2024-07-17 Yang Yinyang , Wang Chanchan

Generating motions for robots interacting with objects of various shapes is a complex challenge, further complicated by the robot geometry and multiple desired behaviors. While current robot programming tools (such as inverse kinematics,…

Robotics · Computer Science 2025-06-19 Xuemin Chi , Hakan Girgin , Tobias Löw , Yangyang Xie , Teng Xue , Jihao Huang , Cheng Hu , Zhitao Liu , Sylvain Calinon