Distributed Control over Stochastically Failing Communication Links

-- Cedric Langbort, Vijay Gupta and Richard M. Murray,  in P. J. Antsaklis and P. Tabuada (Eds): Networked Embedded Sensing and Control, LNCIS 331, pp. 325 - 342, Springer, 2006. Presented at Workshop on Networked Embedded Sensing and Control, Notre Dame, October 2005.

We give sufficient convex conditions for the existence of a distributed controller, with the same interconnection structure as the plant, when the latter is composed of heterogeneous subsystems that communicate with their neighbors over packet-dropping channels. Our linear matrix inequalities generalize previous results for the case of ideal communication links and, although conservative, are typically far more tractable for large-scale systems than recently obtained sufficient and necessary conditions.

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