Leader-following consensus of multi-agent systems with sampled-data control and looped functionals

Abstract

Leader-following consensus of multi-agent systems is highly influenced by the sampling effects of the agents’ actuators. In this paper, the multi-agent systems involving leader-following strategy is considered for the consensus analysis via sampled-data control using time-dependent Lyapunov–Krasovskii functionals. A directed graph topology is assumed to address the communication network between the agents and each agent obeys a class of stochastic nonlinear dynamics via Bernoulli distribution. A looped Lyapunov Krasovskii functional (LKF) is constructed for the sake of the consensus analysis with suitable controller design to achieve closed-loop dynamics. Using Wirtinger-based integral inequalities to the integral terms of LKF derivatives, less conservative consensus conditions are established in the form of linear matrix inequalities (LMIs). Finally, two illustrative examples are given to show the effectiveness of developed theoretical results.