English

Robust Formation Control in SE(3) for Tree-Graph Structures with Prescribed Transient and Steady State Performance

Systems and Control 2018-08-30 v2

Abstract

This paper presents a novel control protocol for distance and orientation formation control of rigid bodies, whose sensing graph is a static and undirected tree, in the special Euclidean group SE(3). The proposed control laws are decentralized, in the sense that each agent uses only local relative information from its neighbors to calculate its control signal, as well as robust with respect to modeling (parametric and structural) uncertainties and external disturbances. The proposed methodology guarantees the satisfaction of inter-agent distance constraints that resemble collision avoidance and connectivity maintenance properties. Moreover, certain predefined functions characterize the transient and steady state performance of the closed loop system. Finally, simulation results verify the validity and efficiency of the proposed approach.

Keywords

Cite

@article{arxiv.1803.07513,
  title  = {Robust Formation Control in SE(3) for Tree-Graph Structures with Prescribed Transient and Steady State Performance},
  author = {Christos K. Verginis and Alexandros Nikou and Dimos V. Dimarogonas},
  journal= {arXiv preprint arXiv:1803.07513},
  year   = {2018}
}

Comments

Provisionally accepted in Automatica. arXiv admin note: text overlap with arXiv:1611.01824

R2 v1 2026-06-23T00:59:07.631Z