Abstract
This paper studies the stabilizing problem of networked sampled-data linear systems with independent and identically distribution (i.i.d.) packet dropouts. First of all, for the sampled-data system without packet losses, the necessary and sufficient conditions for the critical sampling intervals are given to ensure the mean square stability where zero order holder and generalized holder are adopted, respectively. Secondly, for the sampled-data system with i.i.d. packet losses, necessary and sufficient conditions for the critical sampling intervals are given to ensure the mean square stability where the zero order holder control is adopted. The random sampling framework is used to examine the case that the value of the control signal is not zero when the packet loss occurs, but the value of the previous control signal when the data packet is not lost. For the sampled-data system with i.i.d. packet losses, the range of the sampling interval is given to ensure the mean square stability where the generalized holder control is adopted. Some numerical simulations are provided to validate the theoretical results.
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This research was supported by the National Natural Science Foundation of China under Grant Nos. 61773241, 62122043 and the Youth Innovation Group Project of Shandong University under Grant No. 2020QNQT016.
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Wang, C., Wang, B. Mean-Square Stabilization of Networked Sampled-Data Systems with Packet Losses: Critical Sampling Intervals. J Syst Sci Complex 35, 1278–1292 (2022). https://doi.org/10.1007/s11424-022-0188-7
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DOI: https://doi.org/10.1007/s11424-022-0188-7