L2-L∞ consensus control for high-order multi-agent systems with switching topologies and time-varying delays

This study is devoted to the L2-L∞ consensus problem for high-order multi-agent systems subjected to external disturbances. The network with time-varying delays is particularly taken into consideration under switching network topologies. By performing a model transformation, the consensus problem of the multi-agent systems is turned into a normal L2-L∞ control problem. Sufficient conditions in terms of linear matrix inequalities are derived to ensure that all agents could asymptotically reach consensus with a prescribed disturbance attenuation performance, which provide the allowable upper bound of communication delays. Numerical simulations are provided to demonstrate the effectiveness of our theoretic results.