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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 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

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

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

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

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 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

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 exploration in remote and extreme environments allows scientists to model complex transport phenomena and collective behaviors described by continuously deforming flow fields. Although these environments are naturally…

Robots have the potential to perform search for a variety of applications under different scenarios. Our work is motivated by humanitarian assistant and disaster relief (HADR) where often it is critical to find signs of life in the presence…

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

Robotic search and rescue, exploration, and inspection require trajectory planning across a variety of domains. A popular approach to trajectory planning for these types of missions is ergodic search, which biases a trajectory to spend time…

Robotics · Computer Science 2025-03-10 Dayi Dong , Albert Xu , Geordan Gutow , Howie Choset , Ian Abraham

In robotics, ergodic control extends the tracking principle by specifying a probability distribution over an area to cover instead of a trajectory to track. The original problem is formulated as a spectral multiscale coverage problem,…

Robotics · Computer Science 2023-11-22 Suhan Shetty , João Silvério , Sylvain Calinon

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

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

Robots with the ability to balance time against the thoroughness of search have the potential to provide time-critical assistance in applications such as search and rescue. Current advances in ergodic coverage-based search methods have…

Robotics · Computer Science 2023-05-22 Dayi Dong , Henry Berger , Ian Abraham

Planning informative trajectories while considering the spatial distribution of the information over the environment, as well as constraints such as the robot's limited battery capacity, makes the long-time horizon persistent coverage…

Robotics · Computer Science 2023-10-13 Kaleb Ben Naveed , Devansh Agrawal , Christopher Vermillion , Dimitra Panagou

Designing continuous trajectories whose time-averaged occupancy provably matches a prescribed spatial density (the \emph{ergodic coverage} problem) is central to UAV-assisted data collection and sensing, robotic exploration, and mobile…

Machine Learning · Computer Science 2026-05-14 Ehsan Aghazadeh , Masoud Malekzadeh , Ahmad Ghasemi , Hossein Pishro-Nik

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

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
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