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We address the risk bounded trajectory optimization problem of stochastic nonlinear robotic systems. More precisely, we consider the motion planning problem in which the robot has stochastic nonlinear dynamics and uncertain initial…

Robotics · Computer Science 2022-03-08 Weiqiao Han , Ashkan Jasour , Brian Williams

High-speed trajectory planning through unknown environments requires algorithmic techniques that enable fast reaction times while maintaining safety as new information about the operating environment is obtained. The requirement of…

Robotics · Computer Science 2020-05-15 Jesus Tordesillas , Brett T. Lopez , Jonathan P. How

This paper develops a path planner that minimizes risk (e.g. motion execution) while maximizing accumulated reward (e.g., quality of sensor viewpoint) motivated by visual assistance or tracking scenarios in unstructured or confined…

Robotics · Computer Science 2019-03-11 Xuesu Xiao , Jan Dufek , Robin Murphy

Autonomous navigation in unknown 3D environments is a key issue for intelligent transportation, while still being an open problem. Conventionally, navigation risk has been focused on mitigating collisions with obstacles, neglecting the…

Robotics · Computer Science 2024-03-06 Elie Randriamiarintsoa , Johann Laconte , Benoit Thuilot , Romuald Aufrère

In this paper, we investigate the optimal robot path planning problem for high-level specifications described by co-safe linear temporal logic (LTL) formulae. We consider the scenario where the map geometry of the workspace is…

Systems and Control · Electrical Eng. & Systems 2024-01-18 Jianing Zhao , Keyi Zhu , Mingyang Feng , Xiang Yin

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

Path planning for multiple robots is well studied in the AI and robotics communities. For a given discretized environment, robots need to find collision-free paths to a set of specified goal locations. Robots can be fully anonymous,…

Artificial Intelligence · Computer Science 2017-04-26 Wolfgang Hönig , T. K. Satish Kumar , Liron Cohen , Hang Ma , Sven Koenig , Nora Ayanian

Robots will increasingly operate near humans that introduce uncertainties in the motion planning problem due to their complex nature. Typically, chance constraints are introduced in the planner to optimize performance while guaranteeing…

Robotics · Computer Science 2023-07-04 Oscar de Groot , Laura Ferranti , Dariu Gavrila , Javier Alonso-Mora

Mobile robots are often tasked with repeatedly navigating through an environment whose traversability changes over time. These changes may exhibit some hidden structure, which can be learned. Many studies consider reactive algorithms for…

Robotics · Computer Science 2020-12-07 Florence Tsang , Tristan Walker , Ryan A. MacDonald , Armin Sadeghi , Stephen L. Smith

Consider a robot operating in an uncertain environment with stochastic, dynamic obstacles. Despite the clear benefits for trajectory optimization, it is often hard to keep track of each obstacle at every time step due to sensing and…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Michael Hibbard , Abraham P. Vinod , Jesse Quattrociocchi , Ufuk Topcu

This paper presents an optimisation-based approach for an obstacle avoidance problem within an autonomous vehicle racing context. Our control regime leverages online reachability analysis and sensor data to compute the maximal safe…

Multiagent Systems · Computer Science 2023-11-17 Sergiy Bogomolov , Taylor T. Johnson , Diego Manzanas Lopez , Patrick Musau , Paulius Stankaitis

On-line motion planning in unknown environments is a challenging problem as it requires (i) ensuring collision avoidance and (ii) minimizing the motion time, while continuously predicting where to go next. Previous approaches to on-line…

Robotics · Computer Science 2017-09-05 Sanjeev Sharma

In unknown non-convex environments, such as indoor and underground spaces, deploying a fleet of robots to explore the surroundings while simultaneously searching for and tracking targets of interest to maintain high-precision data…

Robotics · Computer Science 2025-09-30 Jun Chen , Jiaqing Ma , Philip Dames

Estimating collision probabilities between robots and environmental obstacles or other moving agents is crucial to ensure safety during path planning. This is an important building block of modern planning algorithms in many application…

Robotics · Computer Science 2024-09-09 Felix Herrmann , Sebastian Zach , Jacopo Banfi , Jan Peters , Georgia Chalvatzaki , Davide Tateo

In this work we seek for an approach to integrate safety in the learning process that relies on a partly known state-space model of the system and regards the unknown dynamics as an additive bounded disturbance. We introduce a framework for…

Machine Learning · Computer Science 2018-11-12 Stanislav Fedorov , Antonio Candelieri

Occlusion-aware prediction remains a critical challenge in autonomous driving due to the inherent uncertainty of unobserved regions. Existing approaches either overestimate risk based on reachable states or struggle to predict accurate…

Robotics · Computer Science 2026-05-22 Jie Jia , Yaofeng Su , Zeyu Bao , Yun Hong , Bingzhao Gao , Zhongxue Gan , Wenchao Ding

We present a novel approach to perform probabilistic collision detection between a high-DOF robot and high-DOF obstacles in dynamic, uncertain environments. In dynamic environments with a high-DOF robot and moving obstacles, our approach…

Robotics · Computer Science 2016-07-19 Chonhyon Park , Jae Sung Park , Dinesh Manocha

Parametrized motion planning algorithms have high degrees of universality and flexibility, as they are designed to work under a variety of external conditions, which are viewed as parameters and form part of the input of the underlying…

Algebraic Topology · Mathematics 2021-10-15 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

In this paper we introduce and study a new concept of parametrised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the parametrised setting, a motion planning algorithm has high…

Algebraic Topology · Mathematics 2021-09-10 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

We describe parametrised motion planning algorithms for systems controlling objects represented by points that move without collisions in an even dimensional Euclidean space and in the presence of up to three obstacles with \emph{a priori}…

Robotics · Computer Science 2023-06-27 Cesar A. Ipanaque Zapata , Jesús González