Distributed Nash Equilibrium Seeking for Multi-Cluster Game of Second-Order Nonlinear Systems With Partial Information

被引：1

作者：

Nian, Xiaohong ^{[1
]}

Li, Fan ^{[1
]}

Liu, Dongxin ^{[1
]}

机构：

[1] Cent South Univ, Sch Automat, Key Lab Inst Cluster Unmanned Syst, Changsha 410083, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2024年 / 71卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Multi-cluster game; distributed algorithms; coupled inequallty constraints; partial-decision information; second-order nonlinear system;

D O I：

10.1109/TCSII.2023.3300728

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this brief, the multi-cluster game of unknown second-order nonlinear systems with partial information is investigated. Therein, each cluster consisting of several collaborating agents selfishly minimizes its own cost function with each other. The agents within each cluster are constrained by coupled inequality constraints and the local cost functions depend on the global decisions of all game participants. With the help of the state feedback, a novel distributed algorithm is designed by a synthesis of the primal-dual dynamic and the leader-following consensus protocol. Moreover, the convergence analysis is conducted by the Lyapunov stability theory, and it is proved that the algorithm can converge to the Nash equilibrium (NE) of the multi-cluster game. Finally, the effectiveness of the algorithm is verified by numerical simulation.

引用

页码：226 / 230

页数：5