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The Sequential Linear Quadratic (SLQ) algorithm is a continuous-time variant of the well-known Differential Dynamic Programming (DDP) technique with a Gauss-Newton Hessian approximation. This family of methods has gained popularity in the…

Robotics · Computer Science 2021-03-29 Jean-Pierre Sleiman , Farbod Farshidian , Marco Hutter

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

Robotics · Computer Science 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

Trajectory planning for multiple robots in shared environments is a challenging problem especially when there is limited communication available or no central entity. In this article, we present Real-time planning using Linear Spatial…

Robotics · Computer Science 2023-04-04 Baskın Şenbaşlar , Wolfgang Hönig , Nora Ayanian

In this paper, we present a task space-based local motion planner that incorporates collision avoidance and constraints on end-effector motion during the execution of a task. Our key technical contribution is the development of a novel…

Robotics · Computer Science 2021-04-19 Anirban Sinha , Anik Sarker , Nilanjan Chakraborty

This paper addresses the advancements in on-road trajectory planning for Autonomous Passenger Vehicles (APV). Trajectory planning aims to produce a globally optimal route for APVs, considering various factors such as vehicle dynamics,…

Robotics · Computer Science 2023-09-27 Hanxiang Li , Jiaqiao Zhang , Sheng Zhu , Dongjian Tang , Donghao Xu

In this paper the computational challenges of time-optimal path following are addressed. The standard approach is to minimize the travel time, which inevitably leads to singularities at zero path speed, when reformulating the optimization…

Robotics · Computer Science 2025-10-24 Tobias Marauli , Hubert Gattringer , Andreas Mueller

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

Planning time-optimal trajectories for quadrotors in cluttered environments is a challenging, non-convex problem. This paper addresses minimizing the traversal time of a given collision-free geometric path without violating bounds on…

Robotics · Computer Science 2024-09-26 Katherine Mao , Igor Spasojevic , M. Ani Hsieh , Vijay Kumar

We propose a novel, multi-layered planning approach for computing paths that satisfy both kinodynamic and spatiotemporal constraints. Our three-part framework first establishes potential sequences to meet spatial constraints, using them to…

Robotics · Computer Science 2025-05-23 Jeel Chatrola , Abhiroop Ajith , Kevin Leahy , Constantinos Chamzas

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…

Trajectory planning is crucial for the safe driving of autonomous vehicles in highway traffic flow. Currently, some advanced trajectory planning methods utilize spatio-temporal voxels to construct feasible regions and then convert…

Robotics · Computer Science 2023-10-05 Zhiqiang Jian , Songyi Zhang , Lingfeng Sun , Wei Zhan , Masayoshi Tomizuka , Nanning Zheng

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

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

Trajectory replanning is a critical problem for multi-robot teams navigating dynamic environments. We present RLSS (Replanning using Linear Spatial Separations): a real-time trajectory replanning algorithm for cooperative multi-robot teams…

Robotics · Computer Science 2022-01-06 Baskın Şenbaşlar , Wolfgang Hönig , Nora Ayanian

In this paper, we propose a trajectory optimization for computing smooth collision free trajectories for nonholonomic curvature bounded vehicles among static and dynamic obstacles. One of the key novelties of our formulation is a hierarchal…

Efficient trajectory planning for urban intersections is currently one of the most challenging tasks for an Autonomous Vehicle (AV). Courteous behavior towards other traffic participants, the AV's comfort and its progression in the…

Robotics · Computer Science 2020-10-08 Oliver Speidel , Maximilian Graf , Ankit Kaushik , Thanh Phan-Huu , Andreas Wedel , Klaus Dietmayer

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

Vehicle trajectory optimization is essential to ensure vehicles travel efficiently and safely. This paper presents an infrastructure assisted constrained connected automated vehicles (CAVs) trajectory optimization method on curved roads.…

Systems and Control · Electrical Eng. & Systems 2021-05-18 Ran Yi , Yang Zhou , Xin Wang , Zhiyuan Liu , Xiaotian Li , Bin Ran

We present a method to solve planning problems involving sequential decision making in unpredictable environments while accomplishing a high level task specification expressed using the formalism of linear temporal logic. Our method…

Robotics · Computer Science 2015-06-16 Seyedshams Feyzabadi , Stefano Carpin

Planning collision free trajectories in complex environments remains a core challenge in robotics. Existing corridor based planners which rely on decomposition of the free space into collision free subsets scale poorly with environmental…

Robotics · Computer Science 2025-09-25 Akshay Jaitly , Jon Arrizabalaga , Guanrui Li