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Ergodic control synthesizes optimal coverage behaviors over spatial distributions for nonlinear systems. However, existing formulations model the robot as a non-volumetric point, whereas in practice a robot interacts with the environment…

Robotics · Computer Science 2026-04-14 Jueun Kwon , Max M. Sun , Todd Murphey

We consider the problem of combining potential field and ergodic search on multi-robot systems. Traditional ergodic search algorithms use metrics for ergodicity that account for the desired distribution at different scales. Recently, a heat…

Robotics · Computer Science 2026-05-26 Thales C. Silva , Anoop Kiran , Nora Ayanian

This paper presents an active search trajectory synthesis technique for autonomous mobile robots with nonlinear measurements and dynamics. The presented approach uses the ergodicity of a planned trajectory with respect to an expected…

Robotics · Computer Science 2017-08-31 Lauren M. Miller , Yonatan Silverman , Malcolm A. MacIver , Todd D. Murphey

Using multiple mobile robots in search missions offers a lot of benefits, but one needs a suitable and competent motion control algorithm which is able to consider sensors characteristics, the uncertainty of target detection and complexity…

Optimization and Control · Mathematics 2020-10-29 Stefan Ivić

In this article, we present a feedback control method for tactile coverage tasks, such as cleaning or surface inspection. These tasks are challenging to plan due to complex continuous physical interactions. In these tasks, the coverage…

Robotics · Computer Science 2025-04-01 Cem Bilaloglu , Tobias Löw , Sylvain Calinon

We present a decentralized ergodic control policy for time-varying area coverage problems for multiple agents with nonlinear dynamics. Ergodic control allows us to specify distributions as objectives for area coverage problems for nonlinear…

Robotics · Computer Science 2018-08-29 Ian Abraham , Todd D. Murphey

In this study, an ergodic environment exploration problem is introduced for a centralized multi-agent system. Given the reference distribution represented by the Mixture of Gaussian (MoG), the ergodicity is achieved when the time-averaged…

Systems and Control · Electrical Eng. & Systems 2020-09-30 Rabiul Hasan Kabir , Kooktae Lee , Geronimo Macias

Autonomous exploration is an application of growing importance in robotics. A promising strategy is ergodic trajectory planning, whereby an agent spends in each area a fraction of time which is proportional to its probability information…

Optimization and Control · Mathematics 2021-07-06 Dimitris Gkouletsos , Andrea Iannelli , Mathias Hudoba de Badyn , John Lygeros

This research addresses the challenge of performing search missions in dynamic environments, particularly for drifting targets whose movement is dictated by a flow field. This is accomplished through a dynamical system that integrates two…

Robotics · Computer Science 2025-11-04 Luka Lanča , Karlo Jakac , Sylvain Calinon , Stefan Ivić

Heat Equation Driven Area Coverage (HEDAC) is a state-of-the-art multi-agent ergodic motion control guided by a gradient of a potential field. A finite element method is hereby implemented to obtain a solution of the Helmholtz partial…

Optimization and Control · Mathematics 2022-11-01 Stefan Ivić , Ante Sikirica , Bojan Crnković

In search and surveillance applications in robotics, it is intuitive to spatially distribute robot trajectories with respect to the probability of locating targets in the domain. Ergodic coverage is one such approach to trajectory planning…

Robotics · Computer Science 2017-07-25 Elif Ayvali , Hadi Salman , Howie Choset

This paper develops KL-Ergodic Exploration from Equilibrium ($\text{KL-E}^3$), a method for robotic systems to integrate stability into actively generating informative measurements through ergodic exploration. Ergodic exploration enables…

Robotics · Computer Science 2020-12-08 Ian Abraham , Ahalya Prabhakar , Todd D. Murphey

Although a number of solutions exist for the problems of coverage, search and target localization---commonly addressed separately---whether there exists a unified strategy that addresses these objectives in a coherent manner without being…

Robotics · Computer Science 2017-08-29 Anastasia Mavrommati , Emmanouil Tzorakoleftherakis , Ian Abraham , Todd D. Murphey

Whole-body control of robotic manipulators with awareness of full-arm kinematics is crucial for many manipulation scenarios involving body collision avoidance or body-object interactions, which makes it insufficient to consider only the…

Robotics · Computer Science 2025-12-22 Kangchen Lv , Mingrui Yu , Yongyi Jia , Chenyu Zhang , Xiang Li

This paper addresses the problem of trajectory planning for information gathering with a dynamic and resolution-varying sensor footprint. Ergodic planning offers a principled framework that balances exploration (visiting all areas) and…

Robotics · Computer Science 2025-12-10 Ziyue Zheng , Yongce Liu , Hesheng Wang , Zhongqiang Ren

In this work, we address the problem of multi-robot adaptive coverage, where teams of robots perform dynamic sampling by continuously adjusting their positions to collect data in an environment. This task can be challenging, particularly…

Robotics · Computer Science 2026-05-22 Thales Costa Silva , Nora Ayanian

In robotics, a common challenge in imitation learning is the mismatch between training and deployment conditions, caused, for example, by environmental changes or imperfect observation and control. When a robot follows a nominal trajectory…

Robotics · Computer Science 2026-05-15 Ziyi Xu , Cem Bilaloglu , Yiming Li , Sylvain Calinon

This paper addresses the autonomous robot ergodicity problem for efficient environment exploration. The spatial distribution as a reference is given by a mixture of Gaussian and the mass generation of the robot is assumed to be skinny…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Rabiul Hasan Kabir , Kooktae Lee

This paper investigates performance guarantees on coverage-based ergodic exploration methods in environments containing disturbances. Ergodic exploration methods generate trajectories for autonomous robots such that time spent in each area…

Robotics · Computer Science 2024-12-11 Henry Berger , Ian Abraham

Continuous exploration without interruption is important in scenarios such as search and rescue and precision agriculture, where consistent presence is needed to detect events over large areas. Ergodic search already derives continuous…

Robotics · Computer Science 2024-02-22 Adam Seewald , Cameron J. Lerch , Marvin Chancán , Aaron M. Dollar , Ian Abraham
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