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2026, Volume 34, Issue 11: 8689-8718. doi: 10.3934/era.2026366
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Mean-square exponential ultimate boundedness of networked control systems with packet-loss-adaptive event triggering and scale-normalized encoding

  • School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243032, China
  • Published: 10 October 2026

  • This paper investigates mean-square exponential ultimate boundedness (MSEUB) for bandwidth-limited networked control systems subject to Bernoulli packet losses and finite-bit communication. A packet-loss-adaptive, event-triggered mechanism updates the triggering threshold according to the number of consecutive packet losses. It also enforces a positive minimum inter-event time. A scale-normalized encoding–decoding method is then constructed for finite-bit output transmission. Before quantization, the sampled output is normalized using a scale retained locally at the field-side node. The finite-bit index vector representing the normalized output is transmitted through the sensor-to-controller channel subject to packet losses. A stochastic closed-loop model is established by decomposing the Bernoulli packet-reception variable into its mean and zero-mean fluctuation. Tractable conditions are then derived to ensure MSEUB under Bernoulli packet losses and finite-bit reconstruction errors. Finally, numerical simulations illustrate the closed-loop and communication performance of the proposed design.

    Citation: Xiuguang Ding, Yuhao Zhang, Jiankai Xue, Jianping Zhou. Mean-square exponential ultimate boundedness of networked control systems with packet-loss-adaptive event triggering and scale-normalized encoding[J]. Electronic Research Archive, 2026, 34(11): 8689-8718. doi: 10.3934/era.2026366

    Related Papers:

  • This paper investigates mean-square exponential ultimate boundedness (MSEUB) for bandwidth-limited networked control systems subject to Bernoulli packet losses and finite-bit communication. A packet-loss-adaptive, event-triggered mechanism updates the triggering threshold according to the number of consecutive packet losses. It also enforces a positive minimum inter-event time. A scale-normalized encoding–decoding method is then constructed for finite-bit output transmission. Before quantization, the sampled output is normalized using a scale retained locally at the field-side node. The finite-bit index vector representing the normalized output is transmitted through the sensor-to-controller channel subject to packet losses. A stochastic closed-loop model is established by decomposing the Bernoulli packet-reception variable into its mean and zero-mean fluctuation. Tractable conditions are then derived to ensure MSEUB under Bernoulli packet losses and finite-bit reconstruction errors. Finally, numerical simulations illustrate the closed-loop and communication performance of the proposed design.



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