New results on predefined-time consensus for nonlinear multi-agent systems under Lipschitz condition: A dynamic-gains-based method

Abstract

This article devotes itself to pursuing a global predefined-time consensus problem for a leader-following second-order nonlinear multi-agent system with Lipschitz condition. By depending on the backstepping design framework, the dynamic-gains-based consensus protocols are able to be exported. During the consensus analysis procedure, the homogeneous system theory contributes to analyze the considered multi-agent systems’ dynamics, and the developed two dynamic gains helps to realize predefined-time attractivity and consensus of the concerned multi-agent system, such successive consensus property can be verified by the designated switched Lyapunov function candidates. Finally, a simulation, which is carried out for the concerned interconnect power system, verifies the effectiveness of the developed predefined-time consensus method.