Containment control for multi-agent systems via intermittent sampled data algorithm

Abstract

In this paper, the containment control problem in second-order multi-agent systems for static and dynamic leaders under directed and undirected topologies are studied. We propose the periodic intermittent containment control algorithm, which both reduces the load of updating rates of controller and cuts down the working time of the controller in each sampling interval. Some necessary and sufficient conditions depending on the eigenvalues of the Laplacian matrix associated with the communication graph, the communication width, sampling period and the gain parameters, are obtained to guarantee the containment control. Finally, some simulations are conducted to verify the effectiveness of the proposed algorithms.