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Fuzzy filtering for nonlinear Markovian jump neutral systems

Author

Listed:
  • Hao Shen
  • Shengyuan Xu
  • Jianping Zhou
  • Jinjun Lu

Abstract

This article is concerned with the problem of H∞ filter design for nonlinear Markovian jump neutral systems through the Takagi–Sugeno fuzzy model approach. By using a novel Markovian switched Lyapunov functional, a delay-dependent bounded real lemma (BRL) is presented in terms of linear matrix inequalities. Based on the derived BRL, both normal H∞ filters and non-fragile H∞ filters are designed, which guarantee that the corresponding filtering error systems are stochastically stable with a specified H∞ performance level. A numerical example is given to demonstrate the effectiveness of the proposed approach.

Suggested Citation

  • Hao Shen & Shengyuan Xu & Jianping Zhou & Jinjun Lu, 2011. "Fuzzy filtering for nonlinear Markovian jump neutral systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 767-780.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:767-780
    DOI: 10.1080/00207721003790351
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    Cited by:

    1. Yunliang Wei & Wei Xing Zheng & Ze Li & Guangdeng Zong, 2015. "Anti-windup design of uncertain discrete-time Markovian jump systems with partially known transition probabilities and saturating actuator," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1288-1298, May.
    2. Song, Xiaona & Men, Yunzhe & Zhou, Jianping & Zhao, Junjie & Shen, Hao, 2017. "Event-triggered H∞ control for networked discrete-time Markov jump systems with repeated scalar nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 123-132.
    3. Xie, Jing & Kao, Yonggui & Wang, Changhong & Gao, Cunchen, 2015. "Delay-dependent robust stability of uncertain neutral-type Itoˆ stochastic systems with Markovian jumping parameters," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 576-585.
    4. Chen, Wenbin & Lu, Junwei & Zhuang, Guangming & Gao, Fang & Zhang, Zhengqiang & Xu, Shengyuan, 2022. "Further results on stabilization for neutral singular Markovian jump systems with mixed interval time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    5. Lee, Seok Young & Lee, Won Il & Park, PooGyeon, 2017. "Improved stability criteria for linear systems with interval time-varying delays: Generalized zero equalities approach," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 336-348.

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