Predefined-time Leader-following Consensus for Networked Euler-Lagrange Systems with External Disturbance

In this article, a predefined-time control framework is presented to accomplish the leader-following consensus for Euler-Lagrange (EL) systems, in which a dynamical leader is considered and only a subset of the followers can obtain the information from leader. In order to address the aforementioned problem, a predefined-time control algorithm has been proposed. To be specific, a set of distributed estimators are firstly established to acquire the estimated states of the leader at a predefined time. Then, by applying the designed controller based on sliding surface control, the predefined-time leader-following consensus (PTLFC) problem has been addressed. Moreover, based on Lyapunov argument and input to state stability criterion, sufficient conditions for predefined-time stability are derived. Finally, a large number of simulation examples are given to illustrate the validity of the main results.