Distributed consensus for sampled-data control multi-agent systems with missing control inputs

This paper is concerned about the distributed consensus problem for general sampled-data control multi-agent systems without or with a leader under control inputs missing over some sampling intervals. For these two cases, a distributed adaptive dynamical consensus algorithm is proposed based only on the relative information of network structure. Under the assumption that the dynamical network contains a directed spanning tree, some sufficient consensus conditions are induced under a switched model. These obtained consensus criteria are independent of dynamical network topology, namely, they are valid for both undirected and directed topology. Besides, they do not rely on the spectra and the eigenvalue of Laplacian matrix. Furthermore, some quantitative relations included in dynamical systems, such as sampling period, admissible control inputs missing rate and exponential reaching rate of the consensus performance, are established. Finally, simulation examples are given to show the effectiveness of the proposed results.