Distributed adaptive tracking on Lagrangian systems with reduced interaction

In this paper, we propose a distributed adaptive approach for tracking problem without using leader´s velocity information, where agents are modeled by Euler-Lagrange equations. It is assumed that only a small fraction of agents within the leader´s communication range are informed about the position of the leader. Without using the leader´s velocity information, a connectivity-preserving adaptive controller is proposed to achieve tracking control on Lagrangian systems with the leader of constant velocity. Moreover, position and velocity consensus can be achieved asymptotically with the proposed control strategy. Numerical simulations are further provided to illustrate the theoretical results.