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Delay‐Dependent Robust L2 − L∞ Filtering for a Class of Fuzzy Stochastic Systems

Author

Listed:
  • Ze Li
  • Xinhao Yang

Abstract

This paper is concerned with the L2 − L∞ filtering problem for a kind of Takagi‐Sugeno (T‐S) fuzzy stochastic system with time‐varying delay and parameter uncertainties. Parameter uncertainties in the system are assumed to satisfy global Lipschitz conditions. And the attention of this paper is focused on the stochastically mean‐square stability of the filtering error system, and the L2 − L∞ performance level of the output error with the disturbance input. The method designed for the delay‐dependent filter is developed based on linear matrix inequalities. Finally, the effectiveness of the proposed method is substantiated with an illustrative example.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:673956
    DOI: 10.1155/2014/673956
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    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. 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. 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.
    4. Ze Li & Shengyuan Xu & Yun Zou & Yuming Chu, 2011. "Robust filter design of uncertain T-S fuzzy neutral systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1231-1238.
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