Distributed NE Seeking for Networked Euler‐Lagrange Systems With Constrained Communication

Yuanyuan Xu, Xin Cai, Xingzhi Chen, Bingpeng Gao, Xinyuan Nan · IET Control Theory and Applications · 2025

ABSTRACT The paper studies the distributed Nash equilibrium (NE) seeking problem for noncooperative games of networked Euler‐Lagrange systems with unknown parameters. Unlike the existing work based on the tracking method, resorting to a sliding‐mode extended state observer for the estimation of unknown parts in the Euler‐Lagrange system, a distributed algorithm is proposed to seek NE of the game. Moreover, to facilitate the practical applications of the designed continuous‐time algorithm, a local event‐triggered communication scheme is presented to alleviate communication burden. Finally, the formation of networked Euler‐Lagrange systems is taken as an example to verify the proposed algorithm.

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