1
Return

Translational Drift in Formation Control Under Infeasible Configurations

delete2026-01-01
delete0
PRE
AI
K
Kang, Sang-Won
O
Oh, Kwang-Kyo
A
Ahn, Hyo-Sung *
DOI:10.1109/LCSYS.2026.3680276delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
This letter investigates formation control for networks of single-integrators based solely on relative position measurements. Unlike prevalent studies, which assume feasible displacement constraints and focus on convergence conditions, we analyze the closed-loop dynamics when the desired configuration is infeasible. We show that the standard formation control law induces a translational drift whose properties are determined by the sensing topology. We further characterize this drift explicitly in terms of the spectral structure of the graph Laplacian. To eliminate this unintended motion, we propose a distributed control law that compensates for the drift and guarantees convergence to a stationary formation. Numerical simulations validate the theoretical analysis of the drift and demonstrate the effectiveness of the proposed controller.
Keywords:
Instant messaging
Electronic messaging
Internet
Electronic mail
Protocols
Electronic components
Switches
Artificial intelligence
Mobile agents
Data analysis
Formation control
sensing graphs
infeasible configurations
graph theory
translational drift

Journal

I
IEEE Control Systems Letters
IF:
2
Papers:
94
Citations:
5.0K

Organization

S
Sunchon National University
Scholars:
2.0K
Papers: 2.2K
Citations: 2.1K
G
gwangju institute of science & technology (gist)
Scholars:
135
Papers: 58
Citations: 0
Cited Papers

Cited Papers

Citing Papers

Citing Papers