2.765

2022影响因子

(CJCR)

  • 中文核心
  • EI
  • 中国科技核心
  • Scopus
  • CSCD
  • 英国科学文摘

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

传感器饱和的非线性网络化系统模糊$H_{\infty}$滤波

李秀英 尹帅 孙书利

李秀英, 尹帅, 孙书利. 传感器饱和的非线性网络化系统模糊H∞滤波.自动化学报, 2021, 47(5): 1149-1158 doi: 10.16383/j.aas.c180778
引用本文: 李秀英, 尹帅, 孙书利. 传感器饱和的非线性网络化系统模糊H滤波.自动化学报, 2021, 47(5): 1149-1158 doi: 10.16383/j.aas.c180778
Li Xiu-Ying, Yin Shuai, Sun Shu-Li. Fuzzy H∞ Filtering for Nonlinear Networked Systems Subject to Sensor Saturations. Acta Automatica Sinica, 2021, 47(5): 1149-1158 doi: 10.16383/j.aas.c180778
Citation: Li Xiu-Ying, Yin Shuai, Sun Shu-Li. Fuzzy H Filtering for Nonlinear Networked Systems Subject to Sensor Saturations. Acta Automatica Sinica, 2021, 47(5): 1149-1158 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
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

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

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: 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.
    Recommended by Associate Editor WANG Zhan-Shan
    1)  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

    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$
    110$y_1$
    211$y_2$
    3000
    401$y_3$
    511$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
    0.15.82377.7774
    0.35.77747.2734
    0.55.10496.0407
    0.74.11554.6130
    0.93.23473.4826
    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^{*}$
    0.25.6159
    0.45.7171
    0.65.7774
    0.85.8047
    15.8116
    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^*$
    0.2/0.30.2400.565.8221
    0.2/0.1/0.22220.080.160.5616.6811
    0.4/0.30.2100.425.7386
    0.4/0.1/0.22220.070.140.4213.6758
    0.6/0.30.1200.284.8987
    0.6/0.1/0.22220.040.080.2810.2688
    0.8/0.30.0600.143.7947
    0.8/0.1/0.22220.020.040.148.2085
    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]
    0.2/0.45.84437.3637
    0.3/0.45.83567.3509
    0.6/0.75.81436.5984
    0.7/0.95.80235.9142
    下载: 导出CSV
  • [1] Zhang D, Shi P, Wang Q, Yu L. Analysis and synthesis of networked control systems: A survey of recent advances and challenges. ISA Transactions, 2017, 66(1): 376-392 https://www.sciencedirect.com/science/article/pii/S0019057816304475
    [2] Song Y, Wei G, Yang G. Distributed filtering for a class of sensor networks with uncertain rates of packet losses. Signal Processing, 2014, 104(11): 143-151 http://www.ingentaconnect.com/content/el/01651684/2014/00000104/00000001/art00014
    [3] Qiu J, Feng G, Gao H. Asynchronous output-feedback control of networked nonlinear systems with multiple packet dropouts: T-S fuzzy affine model-based approach. IEEE Transactions on Fuzzy Systems, 2011, 19(6): 1014-1030 doi: 10.1109/TFUZZ.2011.2159011
    [4] Wang T, Qiu J, Gao H, Wang C. Network-based fuzzy control for nonlinear industrial processes with predictive compensation strategy. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2017, 47(8): 2137-2147 doi: 10.1109/TSMC.2016.2616904
    [5] Zhu C, Xia Y, Xie L, Yan L. Optimal linear estimation for systems with transmission delays and packet dropouts. IET Signal Processing, 2013, 7(9): 814-823 doi: 10.1049/iet-spr.2012.0348
    [6] Li X, Sun S. $H_{\infty}$ filtering for network-based systems with delayed measurements, packet losses, and randomly varying nonlinearities. IEEE Sensor Journal, 2016, 16(12): 4909-4918 doi: 10.1109/JSEN.2016.2553674
    [7] Takagi T, Sugeno M. Fuzzy identification of systems and its application to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 1985, 15(1): 116-132
    [8] 肖会芹, 何勇, 吴敏, 肖伸平. 基于T-S模糊模型的采样数据网络控制系统$H_{\infty}$输出跟踪控制. 自动化学报, 2015, 41(3): 661-668 https://www.cnki.com.cn/Article/CJFDTOTAL-MOTO201503019.htm

    Xiao Hui-Qin, He Yong, Wu Min, Xiao Shen-Ping. $H_{\infty}$ output tracking control for sampled-data networked control systems in T-S fuzzy model. Acta Automatica Sinica, 2015, 41(3): 661-668 https://www.cnki.com.cn/Article/CJFDTOTAL-MOTO201503019.htm
    [9] Han F, Feng G, Wang Y, Qiu J, Zhang C. A novel dropout compensation scheme for control of networked T-S fuzzy dynamic systems. Fuzzy Sets and Systems, 2014, 235(1): 44-61 http://dl.acm.org/citation.cfm?id=2562728
    [10] Su Y, Zhou Q, Gao F. A new delay-range-dependent $H_{\infty}$ filter design for T-S fuzzy nonlinear systems. Journal of The Franklin Institute, 2014, 351(6): 3305-3321 doi: 10.1016/j.jfranklin.2014.03.003
    [11] Wang Z, Shen B, Liu X. $H_{\infty}$ filtering with randomly occurring sensor saturations and missing measurements. Automatica, 2012, 48(3): 556-562 doi: 10.1016/j.automatica.2012.01.008
    [12] Wu Y, Su H, Wu Z. $H_{\infty}$ filtering for discrete fuzzy stochastic systems with randomly occurred sensor nonlinearities. Signal Processing, 2015, 108(3): 288-296
    [13] Wu Z, Shi P, Su H, Chu J. Asynchronous $l_2$-$l_{\infty}$ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities. Automatica, 2014, 50(1): 180-186 doi: 10.1016/j.automatica.2013.09.041
    [14] Ma L, Wang Z, Lam H. Event-triggered mean-square consensus control for time-varying stochastic multi-agent system with sensor saturations. IEEE Transactions on Automatic Control, 2017, 62(7): 3524-3531 doi: 10.1109/TAC.2016.2614486
    [15] Liang J, Wang Z, Liu X. $H_{\infty}$ control for 2-D time-delay systems with randomly occurring nonlinearities under sensor saturation and missing measurements. Journal of the Franklin Institute, 2015, 352(3): 1007-1030 doi: 10.1016/j.jfranklin.2014.11.020
    [16] Zhang L, Ning Z, Wang Z. Distributed filtering for fuzzy time-delay systems with packet dropouts and redundant channels. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2016, 46(4): 559-572 doi: 10.1109/TSMC.2015.2435700
    [17] Zhu Y, Zhang L, Zheng W. Distributed $H_{\infty}$ filtering for a class of discrete-time Markov jump Luré systems with redundant channels. IEEE Transactions on Industrial Electronics, 2016, 63(3): 1876-1885 doi: 10.1109/TIE.2015.2499169
    [18] 王丽媛, 郭戈, 庄严. 网络控制系统发送功率分配问题研究. 自动化学报, 2017, 43(8): 1350-1357 doi: 10.16383/j.aas.2017.c150876

    Wang Li-Yuan, Guo Ge, Zhuang Yan. Transmission power allocation for networked control systems. Acta Automatica Sinica, 2017, 43(8): 1350-1357 doi: 10.16383/j.aas.2017.c150876
    [19] Sun S, Wang G. Modeling and estimation for networked systems with multiple random transmission delays and packet losses. Systems and Control Letters, 2014, 73(12): 6-16
    [20] Yang F, Wang Z, Hung Y, Gani M. $H_{\infty}$ control for networked systems with random communication delays. IEEE Transactions on Automatic Control, 2006, 51(3): 511-518 doi: 10.1109/TAC.2005.864207
    [21] Zhang C, Feng G, Gao H, Qiu J. $H_{\infty}$ filtering for nonlinear discrete-time systems subject to quantization and packet dropouts. IEEE Transactions on Fuzzy Systems, 2011, 19(2): 353-365 doi: 10.1109/TFUZZ.2010.2098880
    [22] Li X, Xu Y, Sun S. $H_{\infty}$ filtering for T-S fuzzy systems with random multiple delays and packet dropouts subject to sensor saturations. In: Proceedings of the 16th International Conference on Control, Automation, and Systems. Korea: Gyeongju, 2016. 1061-1066
    [23] 唐晓铭, 邓梨, 虞继敏, 屈洪春. 基于区间二型T-S模糊模型的网络控制系统的输出反馈预测控制. 自动化学报, 2019, 45(3): 604-616 doi: 10.16383/j.aas.c170554

    Tang Xiao-Ming, Deng Li, Yu Ji-Min, Qu Hong-Chun. Output feedback model predictive control for interval type-2 T-S fuzzy networked control systems. Acta Automatica Sinica, 2019, 45(3): 604-616 doi: 10.16383/j.aas.c170554
    [24] Sun K K, Mou S S, Qiu J B, Wang T, Gao H J. Adaptive fuzzy control for nontriangular structural stochastic switched nonlinear systems with full state constraints. IEEE Transactions on Fuzzy Systems, 2019, 27(8): 1587-1601 doi: 10.1109/TFUZZ.2018.2883374
    [25] Qiu J, Sun K, Wang T, Gao H. Observer-based fuzzy adaptive event-triggered control for pure-feedback nonlinear systems with prescribed performance. IEEE Transactions on Fuzzy Systems, 2019, 27(11): 2152-2162 doi: 10.1109/TFUZZ.2019.2895560
  • 加载中
图(1) / 表(5)
计量
  • 文章访问数:  999
  • HTML全文浏览量:  179
  • PDF下载量:  207
  • 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

目录

    /

    返回文章
    返回