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Given a convex potential in a space with convex obstacles, an artificial potential is used to navigate to the minimum of the natural potential while avoiding collisions. The artificial potential combines the natural potential with…

Dynamical Systems · Mathematics 2016-12-06 Santiago Paternain , Daniel E. Koditschek , Alejandro Ribeiro

Navigation of UAVs in unknown environments with obstacles is essential for applications in disaster response and infrastructure monitoring. However, existing obstacle avoidance algorithms, such as Artificial Potential Field (APF) are unable…

Robotics · Computer Science 2025-06-10 Shahid Mohammad Mulla , Aryan Kanakapudi , Lakshmi Narasimhan , Anuj Tiwari

We develop an autonomous navigation algorithm for a robot operating in two-dimensional environments cluttered with obstacles having arbitrary convex shapes. The proposed navigation approach relies on a hybrid feedback to guarantee global…

Robotics · Computer Science 2022-08-05 Mayur Sawant , Soulaimane Berkane , Ilia Polusin , Abdelhamid Tayebi

Consider a convex set of which we remove an arbitrarily number of disjoints convex sets -- the obstacles -- and a convex function whose minimum is the agent's goal. We consider a local and stochastic approximation of the gradient of a…

Optimization and Control · Mathematics 2017-01-03 Santiago Paternain , Alejandro Ribeiro

We propose a continuous feedback control strategy that steers a point-mass vehicle safely to a destination, in a quasi-optimal manner, in sphere worlds. The main idea consists in avoiding each obstacle via the shortest path on the cone's…

Systems and Control · Electrical Eng. & Systems 2024-05-28 Ishak Cheniouni , Soulaimane Berkane , Abdelhamid Tayebi

This work proposes a safety-critical local reactive controller that enables the robot to navigate in unknown and cluttered environments. In particular, the trajectory tracking task is formulated as a constrained polynomial optimization…

Robotics · Computer Science 2023-10-10 Yulin Li , Xindong Tang , Kai Chen , Chunxin Zheng , Haichao Liu , Jun Ma

This paper studies a stochastic extremum seeking method to steer a nonholonomic vehicle to the unknown source of a static spatially distributed filed in a plane. The key challenge lies in the lack of vehicle's position information and the…

Optimization and Control · Mathematics 2016-11-16 Jinbiao Lin , Shiji Song , Keyou You , Miroslav Krstic

Given a convex quadratic potential of which its minimum is the agent's goal and a Euclidean space populated with ellipsoidal obstacles, one can construct a Rimon-Koditschek (RK) artificial potential to navigate. Its negative gradient…

Optimization and Control · Mathematics 2022-09-13 Harshat Kumar , Santiago Paternain , Alejandro Ribeiro

We consider nonconvex obstacle avoidance where a robot described by nonlinear dynamics and a nonconvex shape has to avoid nonconvex obstacles. Obstacle avoidance is a fundamental problem in robotics and well studied in control. However,…

Robotics · Computer Science 2025-04-15 Paul Lutkus , Michelle S. Chong , Lars Lindemann

Object Goal Navigation (ObjectNav) task is to navigate an agent to an object category in unseen environments without a pre-built map. In this paper, we solve this task by predicting the distance to the target using semantically-related…

Robotics · Computer Science 2022-07-14 Minzhao Zhu , Binglei Zhao , Tao Kong

Harmonic potentials provide globally convergent potential fields that are provably free of local minima. Due to its analytical format, it is particularly suitable for generating safe and reliable robot navigation policies. However, for…

Robotics · Computer Science 2024-11-11 Shuaikang Wang , Meng Guo

In this paper, novel gradient-based online learning algorithms are developed to investigate an important environmental application: real-time river pollution source identification, which aims at estimating the released mass, location, and…

Machine Learning · Computer Science 2022-03-14 Wenjie Huang , Jing Jiang , Xiao Liu

Real-world environments are inherently uncertain, and to operate safely in these environments robots must be able to plan around this uncertainty. In the context of motion planning, we desire systems that can maintain an acceptable level of…

Robotics · Computer Science 2020-03-18 Charles Dawson , Ashkan Jasour , Andreas Hofmann , Brian Williams

In this paper, we consider the problem of building learning agents that can efficiently learn to navigate in constrained environments. The main goal is to design agents that can efficiently learn to understand and generalize to different…

Machine Learning · Computer Science 2020-03-04 Kei Ota , Yoko Sasaki , Devesh K. Jha , Yusuke Yoshiyasu , Asako Kanezaki

Rapidly generating an optimal chasing motion of a drone to follow a dynamic target among obstacles is challenging due to numerical issues rising from multiple conflicting objectives and non-convex constraints. This study proposes to resolve…

Robotics · Computer Science 2021-12-14 Boseong Felipe Jeon , Changhyeon Kim , Hojoon Shin , H. Jin Kim

In this paper, we consider a novel and robust maximum likelihood approach to localizing radiation sources with unknown statistics of the source signal strength. The result utilizes the smallest number of sensors required theoretically to…

Optimization and Control · Mathematics 2016-10-11 Henry E. Baidoo-Williams

We consider joint optimization and learning problems arising in real-time decision systems. While most existing work focuses primarily on convex, revenue-based objectives, we extend this line of research to multi-objective formulations. In…

Optimization and Control · Mathematics 2026-04-14 Zijun Li , Aswin Kannan

We consider a three-dimensional problem of steering a nonholonomic vehicle to seek an unknown source of a spatially distributed signal field without any position measurement. In the literature, there exists an extremum seeking-based…

Robotics · Computer Science 2016-11-09 Jinbiao Lin , Shiji Song , Keyou You , Cheng Wu

Non-convex optimal control problems occurring in, e.g., water or power systems, typically involve a large number of variables related through nonlinear equality constraints. The ideal goal is to find a globally optimal solution, and…

Optimization and Control · Mathematics 2020-09-08 Jorn H. Baayen , Krzysztof Postek

We present an algorithm to solve the problem of locating the source, or maxima, of a scalar field using a robot swarm. We demonstrate how the robot swarm determines its direction of movement to approach the source using only field intensity…

Robotics · Computer Science 2024-08-20 Antonio Acuaviva , Hector Garcia de Marina , Juan Jimenez
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