Abstract
Most emulation-based results in networked control systems rely on a bound on the maximal allowable transmission interval (MATI) under which stability is preserved. However, having only such a MATI condition can lead to conservative results, as large values of transmission intervals may only occur sporadically, while the typical transmission interval is much smaller. In this paper, we therefore propose, in addition to the existence of a MATI, to also impose a bound on the average allowable transmission interval, expressed in terms of a reverse average dwell-time (RADT) condition on the transmission intervals. We provide joint conditions on the RADT and the MATI such that stability of the NCS can still be guaranteed, which can, in addition, lead to significant higher values of the MATI itself. The strengths of these new results are illustrated on a numerical example, showing a 484% improvement of the MATI, while still guaranteeing stability.
Published Version
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