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Performance Analysis of Networked Control Systems under Periodic Communication Schedules

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Document pages: 6 pages

Abstract: We analyze the closed-loop control performance of a networked control systemthat consists of $N$ independent linear feedback control loops, sharing acommunication network with $M$ channels ($M<N$). A centralized scheduler,employing a scheduling protocol that produces periodic communication sequences,dictates which feedback loops should utilize all these channels. Under theperiodic scheduling protocol, we derive analytic expressions for quantifyingthe overall control performance of the networked control system in terms of aquadratic function. We also study the offline optimization of communicationsequences for a given collection of linear feedback control subsystems anddetermine the period of these communication sequences that attains thenear-optimal control performance. Via numerical studies, we show theeffectiveness of the proposed framework.

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