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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.
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http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2011.0577
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