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<p>This paper is concerned with the problem of sliding mode control (SMC) for networked control systems (NCSs) to deal with the degradation or even unstability of the system caused by packet dropout and time delay. Packet dropouts is modeled by a Bernoulli process and may occur when data is transmitted from the sensor to the controller. On one hand, in order to mitigate the impact on system performance, packet-dropout compensation using the single exponential smoothing (SES) method is introduced to provide the predicted data. On the other hand, to effectively alleviate network congestion and reduce network burden, a novel mode-dependent quantizer with variable quantization density is formulated, in which the different quantization densities based on the network load conditions are governed by Markov chains. Moreover, by utilizing packet-dropout compensation and variable quantization density method, a mode-dependent sliding mode controller is designed based on available information, sufficient conditions for the reachability of sliding surfaces and the stochastic mean-square stability of sliding mode dynamics are derived. Finally, numerical simulations are presented to demonstrate the effectiveness of the given methods.</p>

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Sliding Mode Control Based on Variable Quantization Density for Networked Control Systems with Packet Dropout and Time Delay

  • 期刊论文

  • 发表日期：

    2025年9月24日

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  • Li Hongchao,
  • Sun Shuai,
  • Zhang Jinfeng,
  • Liu Jiao

摘要

This paper is concerned with the problem of sliding mode control (SMC) for networked control systems (NCSs) to deal with the degradation or even unstability of the system caused by packet dropout and time delay. Packet dropouts is modeled by a Bernoulli process and may occur when data is transmitted from the sensor to the controller. On one hand, in order to mitigate the impact on system performance, packet-dropout compensation using the single exponential smoothing (SES) method is introduced to provide the predicted data. On the other hand, to effectively alleviate network congestion and reduce network burden, a novel mode-dependent quantizer with variable quantization density is formulated, in which the different quantization densities based on the network load conditions are governed by Markov chains. Moreover, by utilizing packet-dropout compensation and variable quantization density method, a mode-dependent sliding mode controller is designed based on available information, sufficient conditions for the reachability of sliding surfaces and the stochastic mean-square stability of sliding mode dynamics are derived. Finally, numerical simulations are presented to demonstrate the effectiveness of the given methods.