Group consensus for double-order multi-agent systems with nonlinear dynamic under aperiodic intermittent control

Abstract

This paper investigates the group consensus problem for double-order multi-agent systems with non-periodic intermittent communication. In fact, the system is affected by the dynamics of the agents and its own intrinsic dynamics, and the nonlinear term is introduced to depict the intrinsic state of each agent. Considering nonlinear systems and leader-following problems, a new intermittent consensus protocol under aperiodic intermittent communication is proposed, which is particularly beneficial in terms of saving communication costs. Assumptions on the coupling matrix of the system are made based on some necessary conditions, and a convergence analysis is carried out by means of relevant tools, such as Lyapunov stability theory, Schur’s complementary primitives, and algebraic graph theory, to obtain sufficient conditions to ensure group consensus of the double-order nonlinear multi-agent system is achieved. In the end, the accuracy of the results is verified by numerical simulations using MATLAB tools.