LAUSR

In this note, the distributed leaderless consensus problem of multiple Euler–Lagrange systems under switching directed graphs using only position measurements is investigated. We adopt a model reference adaptive consensus strategy to assign each agent a reference to track, which transforms the consensus problem into a trajectory tracking problem. Due to the absence of velocity information, a velocity filter and a third-order linear reference model are designed for each agent. The proposed consensus algorithm only requires the position information and only the relative position information is interchanged among the neighboring agents. It is shown that the agents can achieve position consensus under a uniformly connected switching directed graph in the absence of global gains, in which sense the proposed algorithm is fully distributed. The numerical simulations are performed to show the effectiveness of the theoretical results.