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In this paper, we develop new methods for the analysis of decentralized control systems and we apply them to formation control problems. The basic set-up consists of a system with multiple agents corresponding to the nodes of a graph whose…

Optimization and Control · Mathematics 2011-01-20 M. -A. Belabbas

This work introduces a distributed formation control strategy for multi-agent systems based solely on rotation symmetry constraints. We propose a potential function that enforces inter-agent \textbf{rotational} symmetries, whose gradient…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Zamir Martinez , Daniel Zelazo

Formation control deals with the design of decentralized control laws that stabilize mobile, autonomous agents at prescribed distances from each other. We call any configuration of the agents a target configuration if it satisfies the…

Dynamical Systems · Mathematics 2016-05-23 Xudong Chen , M. -A. Belabbas , Tamer Başar

The utilisation of unmanned aerial vehicles has witnessed significant growth in real-world applications including surveillance tasks, military missions, and transportation deliveries. This letter investigates practical problems of formation…

Systems and Control · Electrical Eng. & Systems 2021-07-29 Anh Tung Nguyen , Ji-Won Lee , Thanh Binh Nguyen , Sung Kyung Hong

In this note we study the generation of attractive oscillations of a class of mechanical systems with underactuation one. The proposed design consists of two terms, i.e., a partial linearizing state feedback, and an immersion and invariance…

Optimization and Control · Mathematics 2022-10-31 Jose Guadalupe Romero , Bowen Yi

Control barrier functions (CBFs) have been widely applied to safety-critical robotic applications. However, the construction of control barrier functions for robotic systems remains a challenging task. Recently, collision detection using…

The problem of multi-agent formation control for target tracking is considered in this paper. The target is an irregular dynamic shape approximated by a circle with moving centre and varying radius. It is assumed that there are n agents and…

Optimization and Control · Mathematics 2018-09-25 Joana Fonseca , Jieqiang Wei , Karl H. Johansson , Tor Arne Johansen

A decentralized switched controller is developed for dynamic agents to perform global formation configuration convergence while maintaining network connectivity and avoiding collision within agents and between stationary obstacles, using…

Systems and Control · Computer Science 2013-10-02 Teng-Hu Cheng , Zhen Kan , Joel A. Rosenfeld , Warren E. Dixon

Stability and stabilization analysis of fractional-order linear time-invariant (FO-LTI) systems with different derivative orders is studied in this paper. First, by using an appropriate linear matrix function, a single-order equivalent…

Systems and Control · Computer Science 2018-08-30 Pouya Badri , Mahdi Sojoodi

In formation control, triangular formations consisting of three autonomous agents serve as a class of benchmarks that can be used to test and compare the performances of different controllers. We present an algorithm that combines the…

Systems and Control · Computer Science 2017-04-04 Hector Garcia de Marina , Zhiyong Sun , Ming Cao , Brian D. O. Anderson

This paper provides a solution to the problem of safe region formation control with reference velocity tracking for a second-order multi-agent system without velocity measurements. Safe region formation control is a control problem where…

Multiagent Systems · Computer Science 2023-10-17 Ayush Rai , Shaoshuai Mou

Robust cooperative formation control is investigated in this paper for fixed-wing unmanned aerial vehicles in close formation flight to save energy. A novel cooperative control method is developed. The concept of virtual structure is…

Systems and Control · Computer Science 2019-05-08 Qingrui Zhang , Hugh H. T. Liu

We show in this paper that a small subset of agents of a formation of n agents in Euclidean space can control the position and orientation of the entire formation. We consider here formations tasked with maintaining inter-agent distances at…

Dynamical Systems · Mathematics 2017-04-24 Xudong Chen , M. -A. Belabbas , Tamer Basar

Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback…

Optimization and Control · Mathematics 2021-06-03 Francesco Ferrante , Fabrizio Dabbene , Chiara Ravazzi

This paper studies the problem of stabilizing a leader-follower formation specified by a set of bearing constraints and being disturbed by some unknown uniformly bounded disturbance{s}. A set of leaders are positioned at their desired…

Systems and Control · Electrical Eng. & Systems 2024-11-28 Thanh Truong Nguyen , Dung Van Vu , Tuynh Van Pham , Minh Hoang Trinh

In this paper, we present a novel decentralized controller to drive multiple unmanned aerial vehicles (UAVs) into a symmetric formation of regular polygon shape surrounding a mobile target. The proposed controller works for time-varying…

Systems and Control · Computer Science 2017-09-06 Rajdeep Dutta , Chunjiang Qian , Liang Sun , Daniel Pack

Formation control algorithms for multi-agent systems have gained much attention in the recent years due to the increasing amount of mobile and aerial robotic swarms. The design of safe controllers for these vehicles is a substantial aspect…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Thomas Beckers , Sandra Hirche , Leonardo Colombo

This paper presents adaptive event-triggered formation control strategies for autonomous vehicles (AVs) subject to longitudinal and lateral motion uncertainties. The proposed framework explores various vehicular formations to enable safe…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Ziming Wang , Yihuai Zhang , Chenguang Zhao , Huan Yu

This article presents a state feedback control design strategy for the stabilization of a vehicle along a reference collision avoidance maneuver. The stabilization of the vehicle is achieved through a combination of steering, acceleration…

Optimization and Control · Mathematics 2021-02-16 Penco Dario , Davins-Valldaura Joan , Godoy Emmanuel , Kvieska Pedro , Valmorbida Giorgio

In this paper, we investigate the controllability of a class of formation control systems. Given a directed graph, we assign an agent to each of its vertices and let the edges of the graph describe the information flow in the system. We…

Systems and Control · Computer Science 2015-06-02 Xudong Chen , M. -A. Belabbas , Tamer Basar