传感器饱和的非线性网络化系统模糊<inline-formula><tex-math id="M1">\begin{document}$H_{\infty}$\end{document}</tex-math></inline-formula>滤波

李秀英; 尹帅; 孙书利

doi:10.16383/j.aas.c180778

传感器饱和的非线性网络化系统模糊$H_{\infty}$滤波

doi: 10.16383/j.aas.c180778

李秀英^{1, 2,},
尹帅^1,,
孙书利^1, ,

1.
黑龙江大学电子工程学院自动化系哈尔滨 150080
2.
上海应用技术大学电气与电子工程学院上海 201418

基金项目:

国家自然科学基金 61503126

黑龙江省自然科学基金 F2018024

黑龙江省高等学校基本科研业务费黑龙江大学专项基金 RCYJTD201806

详细信息

作者简介:
李秀英上海应用技术大学电气与电子工程学院副教授. 主要研究方向为网络化系统的鲁棒滤波和控制. E-mail: xiuxiu4480@sina.com

尹帅：尹帅黑龙江大学电子工程学院硕士研究生. 主要研究方向为网络控制系统的$H_{\infty}$无穷滤波. E-mail: ys944083357@163.com

通讯作者:
孙书利黑龙江大学电子工程学院教授.主要研究方向为网络系统滤波, 多传感器信息融合. 本文通信作者. E-mail: sunsl@hlju.edu.cn

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- 被引次数: 0
出版历程
- 收稿日期: 2018-11-21
- 录用日期: 2019-03-25
- 刊出日期: 2021-05-21

Fuzzy $H_{\infty}$ Filtering for Nonlinear Networked Systems Subject to Sensor Saturations

LI Xiu-Ying^{1, 2
,},
YIN Shuai^1
,,
SUN Shu-Li^{1
, ,}

1.
Department of Automation, School of Electronic Engineering, Heilongjiang University, Harbin 150080
2.
School of Electrical and Electronic Engineering, Shanghai Institute of Technology, Shanghai 201418

Funds:

National Natural Science Foundation of China 61503126

Heilongjiang Province Fund F2018024

Basic Research Fund of Heilongjiang University RCYJTD201806

More Information

Author Bio:
LI Xiu-Ying Associate professor at the School of Electrical and Electronic Engineering, Shanghai Institute of Technology. Her research interest covers networked systems filtering and robust control

YIN Shuai Master student at the School of Electronic Engineering, Heilongjiang University. His main research interest is \begin{document}$H_{\infty}$\end{document} filter design of the networked systems

Corresponding author: SUN Shu-Li Professor at the School of Electronic Engineering, Heilongjiang University. His research interest covers networked systems filtering and multi-sensor fusion. Corresponding author of this paper

摘要

摘要: 研究了基于T-S模糊模型描述的非线性网络化系统$H_{\infty}$滤波器设计问题.由于网络诱导时滞的存在, 使得一个采样周期内, 到达接收端的数据可能是一个或多个, 也可能没有任何数据.提出传感器冗余策略解决由于饱和而引起的传感器件失效的问题.为降低结果的保守性, 选择模糊规则依赖的Lyapunov函数对滤波误差系统进行稳定性分析, 给出使滤波误差系统均方渐近稳定且具有指定$H_{\infty}$性能的充分条件, 滤波器参数通过求解一组线性矩阵不等式(Linear matrix inequalities, LMIs)得到.仿真研究结果表明算法的有效性.
- 网络系统 /
- T-S模糊模型 /
- 传感器饱和 /
- H_∞滤波 /
- 丢包 /
- 时延
Abstract: The $H_{\infty}$ filter design problem is investigated for T-S fuzzy-model-based nonlinear networked systems. The existing of transmission delay makes that there may be one or multiple data, even no data arriving at the receiver side within one sampling period. A redundant strategy is proposed to solve the problem of sensor failure caused by sensor saturation. In order to reduce the conservatism, the fuzzy-dependent-basis Lyapunov function is chosen to analyze the stability of filtering error systems and a sufficient condition is given to make the filtering error system mean-square asymptotically stable with a specified $H_{\infty}$ performance. The parameters of the filter are obtained by solving a set of linear matrix inequalities (LMIs). The simulation results illustrate the effectiveness of the algorithm.
- Networked system /
- T-S fuzzy model /
- sensor saturation /
- H_∞ filter /
- packet dropout /
- time delay
Recommended by Associate Editor WANG Zhan-Shan
注释:

1) 本文责任编委王占山

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本文责任编委王占山

图 1 $z_k$真实值和$H_{\infty}$滤波值

Fig. 1 True value of $z_k$ and its filter

下载: 全尺寸图片幻灯片

表 1 接收端接收数据情况举例

Table 1 An example case of the received data at the receiver side

$k $	$\xi_k^{(0)}$	$\xi_k^{(1)}$	$\tilde {y}_k$
1	1	0	$y_1$
2	1	1	$y_2$
3	0	0	0
4	0	1	$y_3$
5	1	1	$y_5+y_4 $

下载: 导出CSV

表 2 模糊规则依赖与模糊规则独立的$\gamma^*$比较

Table 2 Comparison of $\gamma^*$ between fuzzy- basis-dependent and fuzzy-basis-independent methods

$ \xi_k^{(0)}$	模糊规则依赖情况	模糊规则独立情况
0.1	5.8237	7.7774
0.3	5.7774	7.2734
0.5	5.1049	6.0407
0.7	4.1155	4.6130
0.9	3.2347	3.4826

下载: 导出CSV

表 3 最优$H_{\infty}$性能指标与传感器饱和发生概率$\bar\delta$的关系

Table 3 Relation between optimal $H_{\infty}$ performance and the sensor saturation occurrence rate

$\bar\delta$	$\gamma^{*}$
0.2	5.6159
0.4	5.7171
0.6	5.7774
0.8	5.8047
1	5.8116

下载: 导出CSV

表 4 最大时滞为一步与两步时的$\gamma^*$比较

Table 4 Comparison of $\gamma^*$ between one-step and two-step maximum delays

${\bar\xi}_0/{\bar\xi}_1/{\bar\xi}_2$	$ P_{1d}$	$P_{2d}$	$ P_{drop}$	$\gamma^*$
0.2/0.3	0.24	0	0.56	5.8221
0.2/0.1/0.2222	0.08	0.16	0.56	16.6811
0.4/0.3	0.21	0	0.42	5.7386
0.4/0.1/0.2222	0.07	0.14	0.42	13.6758
0.6/0.3	0.12	0	0.28	4.8987
0.6/0.1/0.2222	0.04	0.08	0.28	10.2688
0.8/0.3	0.06	0	0.14	3.7947
0.8/0.1/0.2222	0.02	0.04	0.14	8.2085

下载: 导出CSV

表 5 与文献[22]中方法的$\gamma^*$比较

Table 5 Comparison of $\gamma^*$ with the method in ^[22]

$\bar\xi_0$/$\bar\xi_1$	本文	文献[22]
0.2/0.4	5.8443	7.3637
0.3/0.4	5.8356	7.3509
0.6/0.7	5.8143	6.5984
0.7/0.9	5.8023	5.9142

下载: 导出CSV

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传感器饱和的非线性网络化系统模糊$H_{\infty}$滤波

doi: 10.16383/j.aas.c180778

通讯作者:
孙书利黑龙江大学电子工程学院教授.主要研究方向为网络系统滤波, 多传感器信息融合. 本文通信作者. E-mail: sunsl@hlju.edu.cn

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Fuzzy $H_{\infty}$ Filtering for Nonlinear Networked Systems Subject to Sensor Saturations

Corresponding author: SUN Shu-Li Professor at the School of Electronic Engineering, Heilongjiang University. His research interest covers networked systems filtering and multi-sensor fusion. Corresponding author of this paper

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留言板

传感器饱和的非线性网络化系统模糊$H_{\infty}$滤波

doi: 10.16383/j.aas.c180778

通讯作者: 孙书利 黑龙江大学电子工程学院教授.主要研究方向为网络系统滤波, 多传感器信息融合. 本文通信作者. E-mail: sunsl@hlju.edu.cn

计量

出版历程

Fuzzy $H_{\infty}$ Filtering for Nonlinear Networked Systems Subject to Sensor Saturations

Corresponding author: SUN Shu-Li Professor at the School of Electronic Engineering, Heilongjiang University. His research interest covers networked systems filtering and multi-sensor fusion. Corresponding author of this paper

计量

出版历程

目录

通讯作者:
孙书利黑龙江大学电子工程学院教授.主要研究方向为网络系统滤波, 多传感器信息融合. 本文通信作者. E-mail: sunsl@hlju.edu.cn