Leader-Following Consensus for Multiple Euler–Lagrange Systems by Distributed Position Feedback Control

Abstract

In this article, we study the leader-following consensus problem for multiple Euler–Lagrange (EL) systems with natural damping over static and connected communication networks by a distributed position feedback control law. By combining the adaptive distributed observer for a leader system and the dynamic compensator technique for dealing with a single EL system by position feedback control, we synthesize a distributed position feedback control law and show that this control law solves the leader-following consensus problem for multiple EL systems with natural damping. A numerical example will be used to illustrate our design.