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This paper presents the analysis on the influence of distance mismatches on the standard gradient-based rigid formation control for second-order agents. It is shown that, similar to the first-order case as recently discussed in the…

Optimization and Control · Mathematics 2017-03-16 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

Despite the great success of using gradient-based controllers to stabilize rigid formations of autonomous agents in the past years, surprising yet intriguing undesirable collective motions have been reported recently when inconsistent…

Robotics · Computer Science 2016-09-22 Hector Garcia de Marina , Ming Cao , Bayu Jayawardhana

Recently it has been reported that biased range-measurements among neighboring agents in the gradient distance-based formation control can lead to predictable collective motion. In this paper we take advantage of this effect and by…

Systems and Control · Computer Science 2016-09-26 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

Distributed formation maneuver control refers to the problem of maneuvering a group of agents to change their formation shape by adjusting the motions of partial agents, where the controller of each agent only requires local information…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Tao He , Gangshan Jing

Most rigid formation controllers reported in the literature aim to only stabilize a rigid formation shape, while the formation orientation is not controlled. This paper studies the problem of controlling rigid formations with prescribed…

Systems and Control · Computer Science 2016-06-13 Zhiyong Sun , Myoung-Chul Park , Brian D. O. Anderson , Hyo-Sung Ahn

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

Inspired by the concept of network algebraic connectivity, we adopt an extended notion named rigidity preservation index to characterize the rigidity property for a formation framework. A gradient based controller is proposed to ensure the…

Optimization and Control · Mathematics 2013-09-20 Zhiyong Sun , Changbin Yu , Brian D. O. Anderson

In this paper, we first propose a novel maneuvering technique compatible with displacement-consensus-based formation controllers. We show that the formation can be translated with an arbitrary velocity by modifying the weights in the…

Systems and Control · Electrical Eng. & Systems 2020-08-11 Hector Garcia de Marina

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

In this paper, we present the design and implementation of a robust motion formation distributed control algorithm for a team of mobile robots. The primary task for the team is to form a geometric shape, which can be freely translated and…

Robotics · Computer Science 2018-09-21 Hector Garcia de Marina , Johan Siemonsma , Bayu Jayawardhana , Ming Cao

This paper investigates a distributed formation control problem for networked robots, with the global objective of achieving predefined time-varying formations in an environment with obstacles. A novel fixed-time behavioral approach is…

Optimization and Control · Mathematics 2020-08-19 Ning Zhou , Xiaodong Cheng , Yuanqing Xia , Yanjun Liu

By an undirected rigid formation of mobile autonomous agents is meant a formation based on graph rigidity in which each pair of "neighboring" agents is responsible for maintaining a prescribed target distance between them. In a recent paper…

Systems and Control · Computer Science 2015-03-04 Shaoshuai Mou , A. Stephen Morse , Mohamed Ali Belabbas , Zhiyong Sun , Brian D. O. Anderson

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

Geometric pattern formation is crucial in many tasks involving large-scale multi-agent systems. Examples include mobile agents performing surveillance, swarm of drones or robots, or smart transportation systems. Currently, most control…

Multiagent Systems · Computer Science 2023-10-04 Andrea Giusti , Gian Carlo Maffettone , Davide Fiore , Marco Coraggio , Mario di Bernardo

In this letter, we investigate the formation control problem of mobile robots moving in the plane where, instead of assuming robots to be simple points, each robot is assumed to have the form of a disk with equal radius. Based on interior…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

This paper presents a novel planning method that achieves navigation of multi-robot formations in cluttered environments, while maintaining the formation throughout the robots motion. The method utilises a decentralised approach to find…

Robotics · Computer Science 2023-07-17 Jeppe Heini Mikkelsen , Matteo Fumagalli

We present a distributed control strategy for a team of quadrotors to autonomously achieve a desired 3D formation. Our approach is based on local relative position measurements and does not require global position information or…

Robotics · Computer Science 2018-09-05 Kaveh Fathian , Sleiman Safaoui , Tyler H. Summers , Nicholas R. Gans

This paper proposes a novel maneuvering technique for the complex-Laplacian-based formation control. We show how to modify the original weights that build the Laplacian such that a designed steady-state motion of the desired shape emerges…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Hector Garcia de Marina

This paper presents a distributed method for robots moving in rigid formations while ensuring probabilistic collision avoidance between the robots. The formation is parametrised through the transformation of a base configuration. The robots…

Robotics · Computer Science 2024-08-28 Jeppe Heini Mikkelsen , Vit Kratky , Roberto Galeazzi , Martin Saska , Matteo Fumagalli

Consensus control of multiagent systems arises in various robotic applications such as rendezvous and formation control. For example, to compute the control inputs of individual agents, the difference in the positions in aligned coordinate…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Zhonggang Li , Changheng Li , Raj Thilak Rajan
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