Overload Management in Real-Time Control Applications Using m,k $(m,k)$-Firm Guarantee
IEEE Transactions on Parallel and Distributed Systems
Stability analysis of networked control systems
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Overload management policies avoid network congestion by actively dropping packets. This paper studies the effect that such data dropouts have on the performance of spatially distributed control systems. We formally relate the spatially-distributed system's performance (as measured by the average output signal power) to the data dropout rate. This relationship is used to pose an optimization problem whose solution is a Markov chain characterizing a dropout process that maximizes control system performance subject to a specified lower bound on the dropout rate. We then use this Markov chain to formulate an overload management policy that enables nodes to enforce the "optimal" dropout process identified in our optimization problem. Simulation experiments are used to verify the paper's claims.