Tight displacement-based formation control under bounded disturbances. A set-theoretic perspective
Abstract
This paper investigates the synthesis of controllers for displacement-based formation control in the presence of bounded disturbances, specifically focusing on uncertainties originating from measurement noise. While the literature frequently addresses such problems using stochastic frameworks, this work proposes a deterministic methodology grounded in set-theoretic concepts. By leveraging the principles of set invariance, we adapt the theory of ultimate boundedness to the specific dynamics of displacement-based formations. This approach provides a rigorous method for analyzing the system's behavior under persistent disturbances. Furthermore, this set-theoretic framework allows for the optimized selection of the proposed control law parameters to guarantee pre-specified performance bounds. The efficacy of the synthesized controller is demonstrated in the challenging application of maintaining tight formations in a multi-obstacles environment.
Cite
@article{arxiv.2511.12163,
title = {Tight displacement-based formation control under bounded disturbances. A set-theoretic perspective},
author = {Vlad-Matei Angheluţă and Bogdan Gheorghe and Daniel Ioan and Ionela Prodan and Florin Stoican},
journal= {arXiv preprint arXiv:2511.12163},
year = {2025}
}
Comments
submitted to ECC'26