IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v47y2016i10p2247-2263.html
   My bibliography  Save this article

Stochastic sampled data robust stabilisation of T-S fuzzy neutral systems with randomly occurring uncertainties and time-varying delays

Author

Listed:
  • R. Rakkiyappan
  • A. Chandrasekar
  • S. Lakshmanan

Abstract

This paper is concerned with the stochastic sampled data robust stabilisation of T-S fuzzy neutral systems with randomly occurring uncertainties and time-varying delays. The sampling period is assumed to be m in number, whose occurrence probabilities are given constants and satisfy Bernoulli distribution. By introducing an improved Lyapunov–Krasovskii functional with new triple integral terms and by combining both the convex combination technique and reciprocal convex technique, delay-dependent robust stability criteria are obtained in terms of linear matrix inequalities. These linear matrix inequalities can be easily solved by using standard convex optimisation algorithms. The designed stochastic sampled data fuzzy controller gain can be obtained. Finally, three numerical examples are given to illustrate the effectiveness of the proposed methods.

Suggested Citation

  • R. Rakkiyappan & A. Chandrasekar & S. Lakshmanan, 2016. "Stochastic sampled data robust stabilisation of T-S fuzzy neutral systems with randomly occurring uncertainties and time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2247-2263, July.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2247-2263
    DOI: 10.1080/00207721.2014.981236
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2014.981236
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2014.981236?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.

    References listed on IDEAS

    as
    1. Xiao-Heng Chang & Guang-Hong Yang & Haibo Wang, 2011. "Observer-based -control for discrete-time T–S fuzzy systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(10), pages 1801-1809.
    2. T. Senthilkumar & P. Balasubramaniam, 2011. "Delay-dependent robust control for uncertain stochastic T–S fuzzy systems with time-varying state and input delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 877-887.
    3. P. Balasubramaniam & T. Senthilkumar, 2013. "Delay-range-dependent robust stabilisation and control for nonlinear uncertain stochastic fuzzy systems with mode-dependent time delays and Markovian jump parameters," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 187-200.
    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. Du, Yuanhua & Liu, Xinzhi & Zhong, Shouming, 2016. "Robust reliable H∞ control for neural networks with mixed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 1-8.
    2. Yuechao Ma & Shujie Jin & Nannan Gu, 2015. "Delay-dependent decentralised control for a class of uncertain similar interconnected systems with state delay and input delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(16), pages 2887-2896, December.
    3. Shiping Wen & Zhigang Zeng & Tingwen Huang, 2015. "Observer-based fuzzy control for discrete-time Takagi–Sugeno fuzzy mixed delay systems with random packet losses and multiplicative noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(1), pages 159-169, January.
    4. Mohammad Hassan Asemani & Vahid Johari Majd, 2015. "A robust -tracking design for uncertain Takagi–Sugeno fuzzy systems with unknown premise variables using descriptor redundancy approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(16), pages 2955-2972, December.
    5. Gao, Ming & Sheng, Li & Zhang, Weihai, 2015. "Stochastic H2/H∞ control of nonlinear systems with time-delay and state-dependent noise," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 429-440.
    6. Sohaira Ahmad & Muhammad Rehan & Anas Ibrar & Muhammad Umair Ali & Amad Zafar & Seong Han Kim, 2024. "Novel Robust Estimation-Based Control of One-Sided Lipschitz Nonlinear Systems Subject to Output and Input Delays," Mathematics, MDPI, vol. 12(9), pages 1-35, April.
    7. Yuechao Ma & Shujie Jin & Nannan Gu, 2016. "Decentralised memory static output feedback control for the nonlinear time-delay similar interconnected systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2487-2498, July.
    8. Zhiguo Yan & Zhiwei Zhang & Guolin Hu & Baolong Zhu, 2022. "Observer-Based Finite-Time H ∞ Control of the Blood Gases System in Extracorporeal Circulation via the T-S Fuzzy Model," Mathematics, MDPI, vol. 10(12), pages 1-15, June.
    9. Bei Wu & Mou Chen & Xiaoming Chen, 2015. "Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-16, November.
    10. Thanh Binh Nguyen & Hyoung-Kyu Song, 2022. "Further Results on Robust Output-Feedback Dissipative Control of Markovian Jump Fuzzy Systems with Model Uncertainties," Mathematics, MDPI, vol. 10(19), pages 1-16, October.
    11. Peng Shi & Yanyan Yin & Fei Liu, 2013. "Gain-Scheduled Worst-Case Control on Nonlinear Stochastic Systems Subject to Actuator Saturation and Unknown Information," Journal of Optimization Theory and Applications, Springer, vol. 156(3), pages 844-858, March.
    12. Guolin Hu & Jian Zhang & Zhiguo Yan, 2022. "Local H ∞ Control for Continuous-Time T-S Fuzzy Systems via Generalized Non-Quadratic Lyapunov Functions," Mathematics, MDPI, vol. 10(19), pages 1-13, September.
    13. Yeong-Chan Chang, 2014. "Robust adaptive neural tracking control for a class of electrically driven robots with time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(11), pages 2418-2434, November.

    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:taf:tsysxx:v:47:y:2016:i:10:p:2247-2263. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.