Distributed algorithms for aggregative games with multiple uncertain Euler–Lagrange systems over switching networks
Zhaocong Liu, Jie Huang · Journal of Automation and Intelligence · 2024
In this paper, we investigate the distributed Nash equilibrium (NE) seeking problem for aggregative games with multiple uncertain Euler–Lagrange (EL) systems over jointly connected and weight-balanced switching networks. The designed distributed controller consists of two parts: a dynamic average consensus part that asymptotically reproduces the unknown NE, and an adaptive reference-tracking module responsible for steering EL systems’ positions to track a desired trajectory. The generalized Barbalat’s Lemma is used to overcome the discontinuity of the closed-loop system caused by the switching networks. The proposed algorithm is illustrated by a sensor network deployment problem.