Network-based global H∞ pinning synchronisation for unmanned marine vehicles subject to disturbances

The network-based global H-infinity pinning synchronisation of unmanned marine vehicles (UMVs) via sampled-data communications is investigated in this paper. By using Lyapunov stability theory, linear matrix inequality (LMI) technique and free-weighting matrix approach, some sufficient conditions are derived to ensure the global pinning synchronisation of UMVs. Furthermore, the maximum allowable sampling interval is estimated by a simple algorithm. Further study is then extended to address the global H-infinity pinning synchronisation problem of UMVs with external disturbances, showing that a better H-infinity performance can be guaranteed under some suitable conditions. Two numerical examples are presented to verify the validity and effectiveness of the obtained approaches.