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This paper addresses the formation maneuver control problem of leader-follower multi-agent systems with high-order integrator dynamics. A distributed output feedback formation maneuver controller is proposed to achieve desired maneuvers so…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Xu Fang , Lihua Xie

Precise kinematic modeling is critical in calibration and controller design for soft robots, yet remains a challenging issue due to their highly nonlinear and complex behaviors. To tackle the issue, numerous data-driven machine learning…

Robotics · Computer Science 2025-07-11 Zhanhong Jiang , Dylan Shah , Hsin-Jung Yang , Soumik Sarkar

This paper presents a probabilistic approach to represent and quantify model-form uncertainties in the reduced-order modeling of complex systems using operator inference techniques. Such uncertainties can arise in the selection of an…

Machine Learning · Statistics 2024-11-08 Jin Yi Yong , Rudy Geelen , Johann Guilleminot

We study the formation control problem for a group of mobile agents in a plane, in which each agent is modeled as a kinematic point and can only use the local measurements in its local frame. The agents are required to maintain a geometric…

Optimization and Control · Mathematics 2019-09-13 Chen Wang , Shuai Li , Weiguo Xia , Jinan Sun , Guangming Xie

The Koopman operator is a linear but infinite dimensional operator that governs the evolution of scalar observables defined on the state space of an autonomous dynamical system, and is a powerful tool for the analysis and decomposition of…

Dynamical Systems · Mathematics 2015-07-28 Matthew O. Williams , Ioannis G. Kevrekidis , Clarence W. Rowley

This paper addresses the problem of composite synchronization and learning control in a network of multi-agent robotic manipulator systems with heterogeneous nonlinear uncertainties under a leader-follower framework. A novel two-layer…

Multiagent Systems · Computer Science 2024-05-10 Emadodin Jandaghi , Dalton L. Stein , Adam Hoburg , Paolo Stegagno , Mingxi Zhou , Chengzhi Yuan

This document considers the formation control problem for a group of non-holonomic mobile robots under time delayed communications. The agents are assumed to be working under a directed and fixed communication topology. A recently developed…

Optimization and Control · Mathematics 2015-05-01 Rudy Cepeda-Gomez , Luis F. Perico

Given a multi-agent linear system, we formalize and solve a trajectory optimization problem that encapsulates trajectory tracking, distance-based formation control and input energy minimization. To this end, a numerical projection operator…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Marco Fabris , Angelo Cenedese , John Hauser

In this paper, we propose an efficient data-driven predictive control approach for general nonlinear processes based on a reduced-order Koopman operator. A Kalman-based sparse identification of nonlinear dynamics method is employed to…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Xuewen Zhang , Minghao Han , Xunyuan Yin

We consider Koopman operator theory in the context of nonlinear infinite-dimensional systems, where the operator is defined over a space of bounded continuous functionals. The properties of the Koopman semigroup are described and a…

Analysis of PDEs · Mathematics 2021-10-07 Alexandre Mauroy

Parametric models deployed in non-stationary environments degrade as the underlying data distribution evolves over time (a phenomenon known as temporal domain drift). In the current work, we present KOMET (Koopman Operator identification of…

Machine Learning · Statistics 2026-03-31 Randy C. Hoover , Jacob James , Paul May , Kyle Caudle

In this work, we propose a novel flow field-based motion planning method that drives a robot from any initial state to a desired reference trajectory such that it converges to the trajectory's end point. Despite demonstrated efficacy in…

Robotics · Computer Science 2025-11-13 Alice Kate Li , Thales C Silva , Victoria Edwards , Vijay Kumar , M. Ani Hsieh

This paper investigates the robust nonlinear close formation control problem. It aims to achieve precise position control at dynamic flight operation for a follower aircraft under the aerodynamic impact due to the trailing vortices…

Systems and Control · Computer Science 2019-04-17 Qingrui Zhang , Hugh H. T. Liu

Autonomous trajectory generation for unmanned aerial vehicles (UAVs) in unknown environments continues to be an important research area as UAVs become more prolific. We define a trajectory generation algorithm for a vehicle in an unknown…

Optimization and Control · Mathematics 2017-07-21 Kenan Cole , Adam Wickenheiser

The study of the Two-Body and Circular Restricted Three-Body Problems in the field of aerospace engineering and sciences is deeply important because they help describe the motion of both celestial and artificial satellites. With the growing…

Mathematical Physics · Physics 2025-04-17 George Nehma , Madhur Tiwari , Manasvi Lingam

This paper focuses on coordinating a robot swarm orbiting a convex path without collisions among the individuals. The individual robots lack braking capabilities and can only adjust their courses while maintaining their constant but…

Robotics · Computer Science 2024-02-22 Jesús Bautista , Héctor García de Marina

This paper develops an algorithm that guides a multi-robot system in an unknown environment in search of fixed targets. The area to be scanned contains an unknown number of convex obstacles of unknown size and shape. The algorithm covers…

Robotics · Computer Science 2012-02-13 Jonathan Rogge , Dirk Aeyels

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Christos K. Verginis , Zhe Xu , Ufuk Topcu

Koopman analysis of a general dynamics system provides a linear Koopman operator and an embedded eigenfunction space, enabling the application of standard techniques from linear analysis. However, in practice, deriving exact operators and…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Alexander Estornell , Leonard Jung , Alenna Spiro , Mario Sznaier , Michael Everett

In this article, we investigate symmetry properties of distributed systems of mobile robots. We consider a swarm of $n\in\mathbb{N}$ robots in the $\mathcal{OBLOT}$ model and analyze their collective $\mathcal{F}$sync dynamics using of…

Robotics · Computer Science 2025-03-11 Raphael Gerlach , Sören von der Gracht