具有丢包补偿网络化控制系统的量化反馈稳定性分析

王硕,禹梅,谭文

系统科学与数学 ›› 2015, Vol. 35 ›› Issue (3) : 287-297.

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系统科学与数学 ›› 2015, Vol. 35 ›› Issue (3) : 287-297. DOI: 10.12341/jssms12538
论文

具有丢包补偿网络化控制系统的量化反馈稳定性分析

    王硕,禹梅,谭文
作者信息 +

STABILITY ANALYSIS OF NETWORKED CONTROL SYSTEM WITH PACKET LOSS COMPENSATION AND QUANTIZED FEEDBACK

    WANG Shuo , YU Mei, TAN Wen
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摘要

针对受丢包和量化反馈问题约束的网络化控制系统, 研究了零输入补偿策略和保持输入补偿策略与系统稳定性的关系. 丢包补偿策略是决定网络控制系统性能的关键因素之一, 量化效应的存在使两种补偿策略对系统的影响与以往的结果产 生一些区别. 文章采用以连续丢包数作为切换信号的切换量化器, 量化密度根据网络负荷情况动态调节, 利用受限切换系统方法得到了 网络控制系统分别使用零输入策略和保持输入补偿策略时的稳定性分 析方法. 所得到的稳定性判据具有更小的保守性. 进一步比较了两 种丢包补偿策略在不同情形下对系统稳定性的影响. 从理论分析及仿真 结果可知, 这两种丢包补偿策略各有优劣,分别适用于两种不同的情况.

Abstract

For zero-input and hold-input compensation strategy, this paper investigates stability of Networked Control System (NCS) subject to packet dropouts and quantization errors. Packet drop compensation strategy plays an important role in the performance of NCS. We propose two new stability analysis criterions for these two strategies via switched system method. The quantization density is designed to be switched according to network load condition, which is less conservative. Comparison of these two strategies is given in the sense of stability. By theoretical analysis, these two strategies apply for different scenarios and none of them can be claimed superior to the other. Numerical examples are derived for comparison of the two strategies.

关键词

丢包补偿 / 量化误差 / 零输入策略 / 保持输入策略 / 切换系统方法 / 线性矩阵不等式.

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王硕 , 禹梅 , 谭文. 具有丢包补偿网络化控制系统的量化反馈稳定性分析. 系统科学与数学, 2015, 35(3): 287-297. https://doi.org/10.12341/jssms12538
WANG Shuo , YU Mei , TAN Wen. STABILITY ANALYSIS OF NETWORKED CONTROL SYSTEM WITH PACKET LOSS COMPENSATION AND QUANTIZED FEEDBACK. Journal of Systems Science and Mathematical Sciences, 2015, 35(3): 287-297 https://doi.org/10.12341/jssms12538
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