IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v275y2016icp361-371.html
   My bibliography  Save this article

Robust quantized H∞ filtering for discrete-time uncertain systems with packet dropouts

Author

Listed:
  • Li, Zhi-Min
  • Chang, Xiao-Heng
  • Yu, Lu

Abstract

This paper considers the problem of H∞ filtering for uncertain discrete-time systems with quantized measurements and packet dropouts. The time-invariant uncertain parameters are supposed to reside in a polytope. The system measurement outputs are quantized by a memoryless logarithmic quantizer before being transmitted to the filter and the performance of packet dropouts is described by Bernoulli random binary distribution. Attention is focused on the design of H∞ filter to mitigate the effects of quantization and packet dropouts, which ensured not only stochastically stability but also a prescribed H∞ noise attenuation level. Via parameter-dependent Lyapunov function approach and introducing some slack variables, sufficient conditions for the existence of an H∞ filter are expressed in terms of linear matrix inequalities (LMIs). Two examples are provided to demonstrate the effectiveness and applicability of the proposed method.

Suggested Citation

  • Li, Zhi-Min & Chang, Xiao-Heng & Yu, Lu, 2016. "Robust quantized H∞ filtering for discrete-time uncertain systems with packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 361-371.
    • Handle: RePEc:eee:apmaco:v:275:y:2016:i:c:p:361-371
    DOI: 10.1016/j.amc.2015.11.069
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315015714
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.11.069?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Jie & Ma, Lifeng & Liu, Yurong & Lyu, Ming & Alsaadi, Fuad E. & Bo, Yuming, 2017. "H∞ and l2−l∞ finite-horizon filtering with randomly occurring gain variations and quantization effects," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 171-187.
    2. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.
    3. Yang, Yi & Chen, Fei & Lang, Jiahong & Chen, Xiangyong & Wang, Jing, 2021. "Sliding mode control of persistent dwell-time switched systems with random data dropouts," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    4. Chang, Xiao-Heng & Li, Zhi-Min & Xiong, Jun & Wang, Yi-Ming, 2017. "LMI approaches to input and output quantized feedback stabilization of linear systems," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 162-175.
    5. He, Miao & Rong, Taotao & Li, Junmin & He, Chao, 2021. "Adaptive dynamic surface full state constraints control for stochastic Markov jump systems based on event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    6. Xiong, Shixun & Chen, Mou & Wu, Qianxian, 2019. "Predictive control for networked switch flight system with packet dropout," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 444-459.
    7. Xu, Xiaozeng & Zhang, Hongbin & Zheng, Qunxian & Chen, Wei, 2022. "Global exponential stability and H∞ control of limit cycle for switched affine systems under time-dependent switching signal," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    8. Nakamori, Seiichi, 2018. "Least-squares finite impulse response fixed-lag smoother and filter in linear discrete-time stochastic systems," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 94-106.
    9. Hamdi, Issam El & Vargas, Alessandro N. & Bouzahir, Hassane & Oliveira, Ricardo C.L.F. & Acho, Leonardo, 2021. "Robust stability of stochastic systems with varying delays: Application to RLC circuit with intermittent closed-loop," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    10. Min, Huifang & Xu, Shengyuan & Yu, Xin & Fei, Shumin & Cui, Guozeng, 2020. "Adaptive Tracking Control for Stochastic Nonlinear Systems with Full-State Constraints and Unknown Covariance Noise," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    11. Dong, Zeyu & Wang, Xin & Zhang, Xian, 2020. "A nonsingular M-matrix-based global exponential stability analysis of higher-order delayed discrete-time Cohen–Grossberg neural networks," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    12. Mahmoud, Magdi S. & Almutairi, Naif B., 2016. "Feedback fuzzy control for quantized networked systems with random delays," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 80-97.
    13. Tian, Yufeng & Wang, Zhanshan, 2021. "Dissipative filtering for singular Markovian jump systems with generally hybrid transition rates," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    14. Xie, Jiyang & Zhu, Shuqian & Zhang, Dawei, 2022. "A robust distributed secure interval observation approach for uncertain discrete-time positive systems under deception attacks," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    15. Chen, Siya & Feng, Jianwen & Wang, Jingyi & Zhao, Yi, 2020. "Almost sure exponential synchronization of drive-response stochastic memristive neural networks," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    16. Shi, Xuanxuan & Shen, Mouquan, 2019. "A new approach to feedback feed-forward iterative learning control with random packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 399-412.
    17. Song, Xinmin & Duan, Zhenhua & Park, Ju H., 2016. "Linear optimal estimation for discrete-time systems with measurement-delay and packet dropping," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 115-124.
    18. Ju, Yanhao & Sun, Yuangong & Meng, Fanwei, 2020. "Stabilization of switched positive system with impulse and marginally stable subsystems: A mode-dependent dwell time method," Applied Mathematics and Computation, Elsevier, vol. 383(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:275:y:2016:i:c:p:361-371. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.