IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n486978.html

Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities

Author

Listed:
  • Li Qiu
  • Chengxiang Liu
  • Fengqi Yao
  • Gang Xu

Abstract

This paper focuses on the stability issue of discrete‐time networked control systems with random Markovian delays and uncertain transition probabilities, wherein the random time delays exist in the sensor‐to‐controller and controller‐to‐actuator. The resulting closed‐loop system is modeled as a discrete‐time Markovian delays system governed by two Markov chains. Using Lyapunov stability theory, a result is established on the Markovian structure and ensured that the closed‐loop system is stochastically stable. A simulation example illustrates the validity and feasibility of the results.

Suggested Citation

  • Li Qiu & Chengxiang Liu & Fengqi Yao & Gang Xu, 2014. "Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:486978
    DOI: 10.1155/2014/486978
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/486978
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/486978?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
    ---><---

    References listed on IDEAS

    as
    1. Shuping He & Fei Liu, 2012. "Adaptive Observer‐Based Fault Estimation for Stochastic Markovian Jumping Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Shuping He & Fei Liu, 2012. "Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jianwei Xia, 2014. "Delay‐Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Ze Li & Xinhao Yang, 2014. "Delay‐Dependent Robust L2 − L∞ Filtering for a Class of Fuzzy Stochastic Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Fenggang Wang & Xianzhang Ling & Xun Xu & Feng Zhang, 2014. "Structural Stiffness Identification Based on the Extended Kalman Filter Research," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Yang Yu & Zengqiang Mi & Yikun Xu & Tong Zhao, 2014. "Global Multivariable Control of Permanent Magnet Synchronous Motor for Mechanical Elastic Energy Storage System under Multiclass Nonharmonic External Disturbances," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Lina Rong & Chengda Yu & Pengfei Guo & Hui Gao, 2014. "Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Tak Kuen Siu, 2014. "Integration by Parts and Martingale Representation for a Markov Chain," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Yanwei Tian & Baofeng Chen, 2014. "Sufficient Conditions on the Exponential Stability of Neutral Stochastic Differential Equations with Time‐Varying Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    8. Xugang Feng & Jiayan Zhang & Jing Wang & Shaokang Xiong & Qiling Wu & Yetai Fei, 2014. "Predictive Function Optimization Control for a Class of Hydraulic Servo Vibration Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnlaaa:v:2014:y:2014:i:1:n:486978. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.