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Passive filter design for periodic stochastic systems with quantized measurements and randomly occurring nonlinearities

机译：具有量化测量值和随机发生的非线性的周期性随机系统的无源滤波器设计

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摘要

In this paper, the passive filter is designed for periodic stochastic systems with quantized measurements and randomly occurring nonlinearities. According to the dynamic properties of periodic systems, an N-periodic density quantizer is proposed to make full use of the communication capacity. By using Bernoulli processes, a new model is introduced to describe the randomly occurring nonlinearities, where each component of the state appears nonlinearity independently, and they influence each other based on the coupling matrices B(k). A reduced-order filter is designed to reduce the computation burden. Then sufficient conditions are established to ensure that the filtering error system is stochastically stable and satisfies the passivity. Finally, the effectiveness of the proposed new design technique is illustrated via a numerical example. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
机译：在本文中，无源滤波器被设计用于具有量化测量和随机发生的非线性的周期性随机系统。根据周期系统的动态特性，提出了一种N周期密度量化器，以充分利用通信能力。通过使用伯努利过程，引入了一个新模型来描述随机发生的非线性，其中状态的每个分量独立地呈现非线性，并且它们基于耦合矩阵B（k）相互影响。设计降阶滤波器以减少计算负担。然后建立足够的条件以确保滤波误差系统是随机稳定的并满足无源性。最后，通过数值算例说明了所提出的新设计技术的有效性。 （C）2015富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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  • 来源
    《Journal of the Franklin Institute》 |2016年第1期|144-159|共16页
  • 作者

    Xu Yong; Lu Renquan; Peng Hui; Chen Jian;

  • 作者单位

    Guangdong Univ Technol, Sch Automat, Guangzhou, Guangdong, Peoples R China|Guangdong Key Lab IoT Informat Proc, Guangzhou 510006, Guangdong, Peoples R China|Hangzhou Dianzi Univ, Inst Informat & Control, Key Lab IoT & Informat Fusion Technol Zhejiang, Hangzhou 310018, Zhejiang, Peoples R China;

    Guangdong Univ Technol, Sch Automat, Guangzhou, Guangdong, Peoples R China|Guangdong Key Lab IoT Informat Proc, Guangzhou 510006, Guangdong, Peoples R China|Hangzhou Dianzi Univ, Inst Informat & Control, Key Lab IoT & Informat Fusion Technol Zhejiang, Hangzhou 310018, Zhejiang, Peoples R China;

    Hangzhou Dianzi Univ, Inst Informat & Control, Key Lab IoT & Informat Fusion Technol Zhejiang, Hangzhou 310018, Zhejiang, Peoples R China;

    Zhejiang Univ, State Key Lab Ind Control Technol, Inst Cyber Syst & Control, Hangzhou 310027, Zhejiang, Peoples R China;

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