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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, based on real-time nonlinear receding horizon control methodology, a novel approach is developed for parameter estimation of time invariant and time varying nonlinear dynamical systems in chaotic environments. Here, the…

Optimization and Control · Mathematics 2016-11-21 Fei Sun , Kamran Turkoglu

The effectiveness of data-driven techniques heavily depends on the input signal used to generate the estimation data. However, a significant research gap exists in the field of input design for nonlinear dynamic system identification. In…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Max Herkersdorf , Oliver Nelles

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 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

This work investigates the consensus problem for multi-agent nonlinear systems through the distributed real-time nonlinear receding horizon control methodology. With this work, we develop a scheme to reach the consensus for nonlinear multi…

Optimization and Control · Mathematics 2019-07-17 Fei Sun , Kamran Turkoglu

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…

This paper presents a quasi time optimal receding horizon control algorithm. The proposed algorithm generates near time optimal control when the state of the system is far from the target. When the state attains a certain neighbourhood of…

Optimization and Control · Mathematics 2007-05-23 Piotr Bania

%!TEX root = LCSS_main_max.tex The widespread adoption of nonlinear Receding Horizon Control (RHC) strategies by industry has led to more than 30 years of intense research efforts to provide stability guarantees for these methods. However,…

Optimization and Control · Mathematics 2024-01-29 Tyler Westenbroek , Max Simchowitz , Michael I. Jordan , S. Shankar Sastry

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

Recent methods in ergodic coverage planning have shown promise as tools that can adapt to a wide range of geometric coverage problems with general constraints, but are highly sensitive to the numerical scaling of the problem space. The…

Robotics · Computer Science 2025-12-08 Yanis Lahrach , Christian Hughes , 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

In this paper, a novel and innovative methodology for feasible motion planning in the multi-agent system is developed. On the basis of velocity obstacles characteristics, the chance constraints are formulated in the receding horizon control…

Robotics · Computer Science 2021-03-25 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Tong Heng Lee

A key challenge in disaster response is maintaining situational awareness of an evolving landscape, which requires balancing exploration of unobserved regions with sustained monitoring of changing Regions of Interest (ROIs). Unmanned Aerial…

Multiagent Systems · Computer Science 2026-04-14 Maria G. Mendoza , Victoria Marie Tuck , Chinmay Maheshwari , Shankar Sastry

We address the problem of simultaneously learning and control in an online receding horizon control setting. We consider the control of an unknown linear dynamical system with general cost functions and affine constraints on the control…

Optimization and Control · Mathematics 2022-11-02 Deepan Muthirayan , Jianjun Yuan , Pramod P. Khargonekar

This paper presents a method for local motion planning in unstructured environments with static and moving obstacles, such as humans. Given a reference path and speed, our optimization-based receding-horizon approach computes a local…

Robotics · Computer Science 2020-10-21 Bruno Brito , Boaz Floor , Laura Ferranti , Javier Alonso-Mora

In this paper we address the problem of designing receding horizon control algorithms for linear discrete-time systems with parametric uncertainty. We do not consider presence of stochastic forcing or process noise in the system. It is…

Optimization and Control · Mathematics 2014-02-20 Raktim Bhattacharya , James Fisher

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

In this paper, we develop a provably correct optimal control strategy for a finite deterministic transition system. By assuming that penalties with known probabilities of occurrence and dynamics can be sensed locally at the states of the…

Robotics · Computer Science 2013-03-15 Mária Svoreňová , Ivana Černá , Calin Belta

This research addresses the challenge of executing multi-UAV survey missions over diverse terrains characterized by varying elevations. The approach integrates advanced two-dimensional ergodic search technique with model predictive control…

Robotics · Computer Science 2026-01-21 Luka Lanča , Karlo Jakac , Stefan Ivić