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In this paper, we introduce a decentralized optimization-based density controller designed to enforce set invariance constraints in multi-robot systems. By designing a decentralized control barrier function, we derived sufficient conditions…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Longchen Niu , Gennaro Notomista

This paper introduces a safety-critical optimization-based control strategy that leverages control Lyapunov and control barrier functions to guide the spatial density of robotic swarms governed by the Fokker-Planck equation to a predefined…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Longchen Niu , Gennaro Notomista

This paper presents a novel partial differential equation (PDE)-based framework for controlling an ensemble of robots, which have limited sensing and actuation capabilities and exhibit stochastic behaviors, to perform mapping and coverage…

Systems and Control · Computer Science 2017-11-30 Karthik Elamvazhuthi , Hendrik Kuiper , Spring Berman

We describe in this paper an optimal control strategy for shaping a large-scale swarm of particles using boundary global actuation. This problem arises as a key challenge in many swarm robotics applications, especially when the robots are…

Optimization and Control · Mathematics 2022-01-20 Carlo Sinigaglia , Andrea Manzoni , Francesco Braghin

This paper presents a motion planning algorithm for quadruped locomotion based on density functions. We decompose the locomotion problem into a high-level density planner and a model predictive controller (MPC). Due to density functions…

Robotics · Computer Science 2023-12-15 Sriram S. K. S Narayanan , Andrew Zheng , Umesh Vaidya

This paper presents a safe and energy-aware optimization-based control framework for multi-UAV wildfire suppression under localization and motion uncertainties. We first develop a centralized density-based controller that couples UAV motion…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Longchen Niu , Gennaro Notomista

We consider the problem of mass transport cloaking using mobile robots. The robots move along a predefined curve that encloses a safe zone and carry sources that collectively counteract a chemical agent released in the environment. The goal…

Robotics · Computer Science 2020-03-10 Reza Khodayi-mehr , Michael M. Zavlanos

Recent years have seen an increased interest in using mean-field density based modelling and control strategy for deploying robotic swarms. In this paper, we study how to dynamically deploy the robots subject to their physical constraints…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Tongjia Zheng , Hai Lin

In this paper, a constrained control approach to variable speed limit (VSL) control for macroscopic partial differential equations (PDE) traffic models is developed. Control Lyapunov function (CLF) theory for ordinary differential equations…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Brian Block , Stephanie Stockar

We propose a distributed control law for a heterogeneous multi-robot coverage problem, where the robots could have different energy characteristics, such as capacity and depletion rates, due to their varying sizes, speeds, capabilities, and…

Robotics · Computer Science 2024-11-05 Aiman Munir , Ayan Dutta , Ramviyas Parasuraman

In this paper, we propose a computationally efficient, robust density control strategy for the mean-field model of a robotic swarm. We formulate a static optimal control problem (OCP) that computes a robot velocity field which drives the…

Optimization and Control · Mathematics 2022-12-06 Carlo Sinigaglia , Andrea Manzoni , Francesco Braghin , Spring Berman

This paper presents an approach to externally influencing a team of robots by means of time-varying density functions. These density functions represent rough references for where the robots should be located. To this end, a continuous-time…

Optimization and Control · Mathematics 2014-04-02 Sung G. Lee , Magnus Egerstedt

This work studies the problem of controlling the mean-field density of large-scale stochastic systems, which has applications in various fields such as swarm robotics. Recently, there is a growing amount of literature that employs…

Systems and Control · Electrical Eng. & Systems 2022-03-28 Tongjia Zheng , Qing Han , Hai Lin

In the context of constraint-driven control of multi-robot systems, in this paper, we propose an optimization-based framework that is able to ensure resilience and energy-awareness of teams of robots. The approach is based on a novel,…

Robotics · Computer Science 2022-06-16 Gennaro Notomista

Correlated with the trend of increasing degrees of freedom in robotic systems is a similar trend of rising interest in Spatio-Temporal systems described by Partial Differential Equations (PDEs) among the robotics and control communities.…

Robotics · Computer Science 2021-02-19 Ethan N. Evans , Andrew P. Kendall , Evangelos A. Theodorou

Modern applications, such as orchestrating the collective behavior of robotic swarms or traffic flows, require the coordination of large groups of agents evolving in unstructured environments, where disturbances and unmodeled dynamics are…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Gian Carlo Maffettone , Davide Salzano , Mario di Bernardo

With the rapid development of AI and robotics, transporting a large swarm of networked robots has foreseeable applications in the near future. Existing research in swarm robotics has mainly followed a bottom-up philosophy with predefined…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Tongjia Zheng , Qing Han , Hai Lin

In this article, we consider the problem of stabilizing stochastic processes, which are constrained to a bounded Euclidean domain or a compact smooth manifold, to a given target probability density. Most existing works on modeling and…

Systems and Control · Electrical Eng. & Systems 2024-05-08 Karthik Elamvazhuthi , Spring Berman

In this paper, we present a solution to the problem of coordinating multiple robots across a communication channel that experiences delays. The proposed approach leverages control barrier functions in order to ensure that the multi-robot…

Systems and Control · Computer Science 2019-09-04 Gennaro Notomista , Xiaoyi Cai , Junya Yamauchi , Magnus Egerstedt

This paper presents a data-driven approach for multi-robot coordination in partially-observable domains based on Decentralized Partially Observable Markov Decision Processes (Dec-POMDPs) and macro-actions (MAs). Dec-POMDPs provide a general…

Multiagent Systems · Computer Science 2017-08-21 Miao Liu , Kavinayan Sivakumar , Shayegan Omidshafiei , Christopher Amato , Jonathan P. How
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