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Related papers: Robust optimal density control of robotic swarms

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In this paper, we investigate how the self-synchronization property of a swarm of Kuramoto oscillators can be controlled and exploited to achieve target densities and target phase coherence. In the limit of an infinite number of…

Optimization and Control · Mathematics 2021-09-16 Carlo Sinigaglia , Francesco Braghin , Spring Berman

In the present paper we deal with an optimal control problem related to a model in population dynamics; more precisely, the goal is to modify the behavior of a given density of individuals via another population of agents interacting with…

Optimization and Control · Mathematics 2016-09-26 Mattia Bongini , Giuseppe Buttazzo

This paper presents a novel approach for collision avoidance in optimal and model predictive control, in which the environment is represented by a large number of points and the robot as a union of padded polygons. The conditions that none…

Robotics · Computer Science 2026-03-24 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Rashmi Dabir , Moritz Diehl

In this paper we consider an optimal control problem (OCP) for the coupled system of a nonlinear monotone Dirichlet problem with matrix- valued non-smooth controls in coefficients and a nonlinear equation of Ham- merstein type. Since…

Optimization and Control · Mathematics 2017-02-28 Olha P. Kupenko , Rosanna Manzo

Controlling large swarms of robotic agents has many challenges including, but not limited to, computational complexity due to the number of agents, uncertainty in the functionality of each agent in the swarm, and uncertainty in the swarm's…

Systems and Control · Computer Science 2018-10-02 Bryce Doerr , Richard Linares

Controlling large swarms of robotic agents presents many challenges including, but not limited to, computational complexity due to a large number of agents, uncertainty in the functionality of each agent in the swarm, and uncertainty in the…

Systems and Control · Computer Science 2020-12-04 Bryce Doerr , Richard Linares , Pingping Zhu , Silvia Ferrari

This paper investigates the infinite horizon optimal control problem (OCP) for space applications characterized by nonlinear dynamics. The proposed approach divides the problem into a finite horizon OCP with a regularized terminal cost,…

Optimization and Control · Mathematics 2025-10-13 Abhijeet , Mohamed Naveed Gul Mohamed , Aayushman Sharma , Suman Chakravorty

We present a decentralized control algorithm for a robotic swarm given the task of encapsulating static and moving targets in a bounded unknown environment. We consider minimalist robots without memory, explicit communication, or…

Robotics · Computer Science 2023-01-16 Himani Sinhmar , Hadas Kress-Gazit

We propose a decentralized control algorithm for a minimalistic robotic swarm with limited capabilities such that the desired global behavior emerges. We consider the problem of searching for and encapsulating various targets present in the…

Robotics · Computer Science 2023-01-16 Himani Sinhmar , Hadas Kress-Gazit

This article introduces a novel distributionally robust model predictive control (DRMPC) algorithm for a specific class of controlled dynamical systems where the disturbance multiplies the state and control variables. These classes of…

Optimization and Control · Mathematics 2024-10-04 Souvik Das , Siddhartha Ganguly , Ashwin Aravind , Debasish Chatterjee

Model predictive control (MPC) has shown great success for controlling complex systems such as legged robots. However, when closing the loop, the performance and feasibility of the finite horizon optimal control problem (OCP) solved at each…

In this paper, we present an original set of flocking rules using an ecologically-inspired paradigm for control of multi-robot systems. We translate these rules into a constraint-driven optimal control problem where the agents minimize…

Multiagent Systems · Computer Science 2021-06-22 Logan E. Beaver , Andreas A. Malikopoulos

This paper investigates the asymptotic analysis of an optimal control problem (OCP) posed on a high-contrast elastic medium with soft periodic inclusions, governed by a semilinear elasticity system with a nonlocal term. The domain consists…

Analysis of PDEs · Mathematics 2026-02-03 Amartya Chakrabortty , Abu Sufian

The standard practice in modeling dynamics and optimal control of a large population, ensemble, multi-agent system represented by it's continuum density, is to model individual decision making using local feedback information. In comparison…

Optimization and Control · Mathematics 2020-09-29 Kaivlaya Bakshi , Evangelos A. Theodorou

Control of continuous time dynamics with multiplicative noise is a classic topic in stochastic optimal control. This work addresses the problem of designing infinite horizon optimal controls with stability guarantees for \textit{a single…

Optimization and Control · Mathematics 2020-10-02 Kaivalya Bakshi , Evangelos A. Theodorou , Piyush Grover

Optimal control of stochastic nonlinear dynamical systems is a major challenge in the domain of robot learning. Given the intractability of the global control problem, state-of-the-art algorithms focus on approximate sequential optimization…

Machine Learning · Computer Science 2020-04-23 Joe Watson , Hany Abdulsamad , Jan Peters

This work studies a robot-assisted crowd evacuation problem where we control a small group of robots to guide a large human crowd to safe locations. The challenge lies in how to model human-robot interactions and design robot controls to…

Robotics · Computer Science 2022-09-21 Tongjia Zheng , Zhenyuan Yuan , Mollik Nayyar , Alan R. Wagner , Minghui Zhu , Hai Lin

Flocking behavior has attracted considerable attention in multi-agent systems. The structure of flocking has been predominantly studied through the application of artificial potential fields coupled with velocity consensus. These…

Optimization and Control · Mathematics 2020-08-21 Logan E. Beaver , Chris Kroninger , Andreas A. Malikopoulos

An important problem in microrobotics is how to control a large group of microrobots with a global control signal. This paper focuses on controlling a large-scale swarm of MicroStressBots with on-board physical finite-state machines. We…

Robotics · Computer Science 2022-08-19 Siyu Li , Milos Zefran , Igor Paprotny

In this paper, we investigate the mean-field optimal control problem of a swarm of Kuramoto oscillators. Using the notion of wrapped distribution, we explain the connection between the stochastic particle system and the mean-field PDE on…

Analysis of PDEs · Mathematics 2025-04-21 Li Chen , Yucheng Wang , Valeriia Zhidkova