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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 presents a whole-body robot control method for exploring and probing a given region of interest. The ergodic control formalism behind such an exploration behavior consists of matching the time-averaged statistics of a robot…

Robotics · Computer Science 2024-10-28 Cem Bilaloglu , Tobias Löw , Sylvain Calinon

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

Exploration requires that robots reason about numerous ways to cover a space in response to dynamically changing conditions. However, in continuous domains there are potentially infinitely many options for robots to explore which can prove…

Robotics · Computer Science 2024-06-18 Darrick Lee , Cameron Lerch , Fabio Ramos , Ian Abraham

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 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

Autonomous robotic search has important applications in robotics, such as the search for signs of life after a disaster. When \emph{a priori} information is available, for example in the form of a distribution, a planner can use that…

Robotics · Computer Science 2024-09-17 Albert Xu , Bhaskar Vundurthy , Geordan Gutow , Ian Abraham , Jeff Schneider , Howie Choset

Ergodic exploration has spawned a lot of interest in mobile robotics due to its ability to design time trajectories that match desired spatial coverage statistics. However, current ergodic approaches are for continuous spaces, which require…

Robotics · Computer Science 2025-09-30 Benjamin Wong , Ryan H. Lee , Tyler M. Paine , Santosh Devasia , Ashis G. Banerjee

Ergodic search enables optimal exploration of an information distribution while guaranteeing the asymptotic coverage of the search space. However, current methods typically have exponential computation complexity in the search space…

Robotics · Computer Science 2025-02-07 Max Muchen Sun , Ayush Gaggar , Peter Trautman , Todd Murphey

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 present a novel formulation of ergodic trajectory optimization that can be specified over general domains using kernel maximum mean discrepancy. Ergodic trajectory optimization is an effective approach that generates coverage paths for…

Robotics · Computer Science 2025-12-08 Christian Hughes , Houston Warren , Darrick Lee , Fabio Ramos , Ian Abraham

Recently, ergodic control has been suggested as a means to guide mobile sensors for information gathering tasks. In ergodic control, a mobile sensor follows a trajectory that is ergodic with respect to some information density distribution.…

Systems and Control · Computer Science 2018-08-22 Louis Dressel , Mykel J. Kochenderfer

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 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

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

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

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

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

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

In this paper, we address the problem of safe trajectory planning for autonomous search and exploration in constrained, cluttered environments. Guaranteeing safe (collision-free) trajectories is a challenging problem that has garnered…

Robotics · Computer Science 2023-05-02 Cameron Lerch , Dayi Dong , Ian Abraham
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