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Distributed robust $H_\infty$ consensus control in directed networks of agents with time-delay. (English) Zbl 1140.93355
Summary: This paper investigates consensus problems for directed networks of agents with external disturbances and model uncertainty on fixed and switching topologies. Both networks with and without time-delay are taken into consideration. In doing the analysis, we first perform a model transformation and turn the original system into a reduced-order system. Based on this reduced-order system, we then present conditions under which all agents reach consensus with the desired $H_\infty$ performance. Finally, simulation results are provided to demonstrate the effectiveness of our theoretical results.

##### MSC:
 93B36 $H^\infty$-control 93A15 Large scale systems 93C41 Control problems with incomplete information 93B11 System structure simplification
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##### References:
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