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Sequential Convex Programming (SCP) has recently gained popularity as a tool for trajectory optimization due to its sound theoretical properties and practical performance. Yet, most SCP-based methods for trajectory optimization are…

Optimization and Control · Mathematics 2019-05-21 Riccardo Bonalli , Andrew Bylard , Abhishek Cauligi , Thomas Lew , Marco Pavone

The paper addresses the problem of providing suitable reference trajectories in motion planning problems for autonomous vehicles. Among the various approaches to compute a reference trajectory, our aim is to find those trajectories which…

Optimization and Control · Mathematics 2018-01-24 Matthias Gerdts , Björn Martens

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…

Maneuvering an articulated vehicle on narrow road stretches is often a challenging task for a human driver. Unless the vehicle is accurately steered, parts of the vehicle's bodies may exceed its assigned drive lane, resulting in an…

Robotics · Computer Science 2020-05-12 Rui Oliveira , Oskar Ljungqvist , Pedro F. Lima , Bo Wahlberg

Path planning is a key component in motion planning for autonomous vehicles. A path specifies the geometrical shape that the vehicle will travel, thus, it is critical to safe and comfortable vehicle motions. For urban driving scenarios,…

Robotics · Computer Science 2021-12-07 Yajia Zhang , Hongyi Sun , Jinyun Zhou , Jiacheng Pan , Jiangtao Hu , Jinghao Miao

This paper introduces a comprehensive approach to optimize parking efficiency for connected and Automated vehicle (CAVs) fleets. We present a multi-vehicle parking simulator, equipped with hierarchical path planning and collision avoidance…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Xu Shen , Yongkeun Choi , Alex Wong , Francesco Borrelli , Scott Moura , Soomin Woo

Generating time-optimal, collision-free trajectories for autonomous mobile robots involves a fundamental trade-off between guaranteeing safety and managing computational complexity. State-of-the-art approaches formulate spline-based motion…

Robotics · Computer Science 2026-03-26 Dries Dirckx , Jan Swevers , Wilm Decré

In the context of ground robot navigation in unstructured hazardous environments, the coupling of efficient path planning with an adequate environment representation is a crucial topic in order to guarantee the robot safety while ensuring…

Robotics · Computer Science 2024-07-09 Quentin Serdel , Julien Marzat , Julien Moras

Reactive trajectory optimization for robotics presents formidable challenges, demanding the rapid generation of purposeful robot motion in complex and swiftly changing dynamic environments. While much existing research predominantly…

Robotics · Computer Science 2023-10-04 Apan Dastider , Hao Fang , Mingjie Lin

We introduce a multi-phase rocket landing guidance framework that can handle nonlinear dynamics and does not mandate any additional mixed-integer or nonconvex constraints to handle discrete temporal events/switching. To achieve this, we…

Optimization and Control · Mathematics 2023-05-30 Abhinav G. Kamath , Purnanand Elango , Yue Yu , Skye Mceowen , Govind M. Chari , John M. Carson , Behçet Açıkmeşe

This paper focuses on spatial time-optimal motion planning, a generalization of the exact time-optimal path following problem that allows the system to plan within a predefined space. In contrast to state-of-the-art methods, we drop the…

Robotics · Computer Science 2023-07-18 Jon Arrizabalaga , Markus Ryll

This paper presents an optimization-based collision avoidance trajectory generation method for autonomous driving in free-space environments, with enhanced robustness, driving comfort and efficiency. Starting from the hybrid…

Robotics · Computer Science 2021-03-02 Runxin He , Jinyun Zhou , Shu Jiang , Yu Wang , Jiaming Tao , Shiyu Song , Jiangtao Hu , Jinghao Miao , Qi Luo

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

Stochastic Model Predictive Control has proved to be an efficient method to plan trajectories in uncertain environments, e.g., for autonomous vehicles. Chance constraints ensure that the probability of collision is bounded by a predefined…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Tim Brüdigam , Fulvio di Luzio , Lucia Pallottino , Dirk Wollherr , Marion Leibold

This paper presents a framework that allows online dynamic-stability-constrained optimal trajectory planning of a mobile manipulator robot working on rough terrain. First, the kinematics model of a mobile manipulator robot, and the Zero…

Robotics · Computer Science 2021-05-11 Jiazhi Song , Inna Sharf

Optimization has been widely used to generate smooth trajectories for motion planning. However, existing trajectory optimization methods show weakness when dealing with large-scale long trajectories. Recent advances in parallel computing…

Robotics · Computer Science 2025-07-18 Jiajun Yu , Nanhe Chen , Guodong Liu , Chao Xu , Fei Gao , Yanjun Cao

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

Well-established optimization-based methods can guarantee an optimal trajectory for a short optimization horizon, typically no longer than a few seconds. As a result, choosing the optimal trajectory for this short horizon may still result…

Machine Learning · Computer Science 2020-12-08 Branka Mirchevska , Maria Hügle , Gabriel Kalweit , Moritz Werling , Joschka Boedecker

This paper introduces Function-space Adaptive Constrained Trajectory Optimization (FACTO), a new trajectory optimization algorithm for both single- and multi-arm manipulators. Trajectory representations are parameterized as linear…

Robotics · Computer Science 2026-02-25 Yichang Feng , Xiao Liang , Minghui Zheng

Many practical applications of robotics require systems that can operate safely despite uncertainty. In the context of motion planning, two types of uncertainty are particularly important when planning safe robot trajectories. The first is…

Robotics · Computer Science 2023-02-02 Charles Dawson , Ashkan Jasour , Andreas Hofmann , Brian Williams