Distributed Algorithm for the Global Optimal Controller of Nonlinear Multi-Agent Systems
Abstract
In this paper, we investigate the distributed optimal control problem for a kind of nonlinear multi-agent systems. In particular,both the state and the system dynamic structures of each agent are private and can only be shared among communicating agents.This type of information structure is inevitable in fields such as collaborative control for industrial confidentiality, and renders traditional distributed control methods using all systems' dynamic structures ineffective. The primary contribution is the proposal of a distributed algorithm for the global optimal controller under such practical information structure via distributed approximation of the Hamilton-Jacobi-Bellman equation. Practical numerical simulation demonstrates the effectiveness of the proposed algorithm.
Cite
@article{arxiv.2604.05443,
title = {Distributed Algorithm for the Global Optimal Controller of Nonlinear Multi-Agent Systems},
author = {Ruixue Li and Wenjing Yang and Zhaorong Zhang and Xun Li and Juanjuan Xu},
journal= {arXiv preprint arXiv:2604.05443},
year = {2026}
}
Comments
11 pages, 7 figures