Practical Multi-Cluster Consensus for Euler-Lagrangian Systems with
Unknown Parameters using Prescribed Performance Control
Abstract
The paper addresses the challenge of achieving practical multi-cluster
consensus among agents interacting through a matrix-weighted graph. The
objective is to coordinate the agents to effectively capture or escort a
moving target. Each agent satisfies Euler-Lagrange (EL) dynamics, whose
parameters may be unknown, and is subject to external disturbances. We
propose a multi-cluster control framework that ensures all agents within
a cluster converge to a common trajectory, while individual clusters
maintain a specific formation around the moving target. A prescribed
performance control scheme is developed to guarantee that relative state
trajectories remain within user-defined performance bounds throughout
the task. The closed loop system under the proposed control scheme is
analytically proven to achieve practical multi-cluster consensus and
satisfaction of user-defined performance bounds without requiring
knowledge of system parameters. The proposed framework supports various
consensus scenarios, including consensus, bipartite consensus, and
multi-cluster consensus, offering flexibility in adjusting both the
number of clusters and the number of agents in each cluster. We provide
numerical simulations to validate the theoretical results.