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Delay-dependent robust control for uncertain stochastic T–S fuzzy systems with time-varying state and input delays

Author

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  • T. Senthilkumar
  • P. Balasubramaniam

Abstract

In this article, the problem of delay-dependent robust H∞ control for uncertain stochastic Takagi–Sugeno fuzzy systems with time-varying state and input delays is investigated. The parameter uncertainties are assumed to be time-varying and norm bounded. Through construction of a new Lyapunov–Krasovskii functional, the delay-dependent robust H∞ control scheme is presented in terms of linear matrix inequalities (LMIs). By solving these LMIs, a desired fuzzy controller can be obtained. Finally, a numerical example is given to illustrate the effectiveness of the developed method.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:877-887
    DOI: 10.1080/00207721.2010.545493
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.

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