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Semi-Global Leader-Following Consensus for Second-Order Nonlinear Multi-Agent Systems via Asynchronous Sampled-Data Control

The sampled-data leader-following consensus problem for a class of uncertain second-order nonlinear multi-agent systems is investigated in this article, where the region of attraction is semi-global. The system model contains the parameter uncertainties. In such a scenario, we construct a distributed state feedback control law by using asynchronously sampled data. Based on rigorous stability analysis of the closed-loop system, a maximum allowable value of sampling periods is given to guarantee the exact consensus.