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Dissipativity-Based Reliable Interval Type-2 Fuzzy Filter Design for Uncertain Nonlinear Systems

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Abstract

The problem of dissipativity-based reliable fuzzy filter design for a category of uncertain nonlinear discrete-time systems is investigated based on the interval type-2 (IT2) T–S fuzzy approach. Uncertainties, which exist in considered systems, are described via adopting both lower membership functions and upper membership functions with corresponding weighting coefficients. In the design process, a vital problem, sensor failure, is taken into consideration. To improve the flexibility of filter design, an IT2 fuzzy filter model is employed, in which membership functions are different from those of the system model. Firstly, sufficient criteria are proposed to ensure the asymptotic stability with strict dissipativity of filtering error system. Following the proposed sufficient conditions, sufficient criteria for dissipative IT2 fuzzy filter design are proposed to estimate unknown system dynamics, where cone complementary linear algorithm is introduced to solve the bilinear problem. Secondly, both \(\mathcal{H}_{\infty }\) and passive IT2 fuzzy filter design algorithms are presented as extensions. Finally, simulation results are given to illustrate the effectiveness of the IT2 fuzzy reliable filtering approach proposed in this paper.

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Author information

Authors and Affiliations

  1. College of Mathematics, Bohai University, Jinzhou, 121013, Liaoning, China

    Zhenxing Zhang

  2. College of Information Sciences and Technology, Bohai University, Jinzhou, 121013, China

    Qi Zhou

  3. School of Automation, Guangdong University of Technology, Guangzhou, 510006, China

    Qi Zhou & Hongyi Li

  4. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, 150001, China

    Chengwei Wu

  5. College of Engineering, Bohai University, Jinzhou, 121013, China

    Hongyi Li

Authors
  1. Zhenxing Zhang
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  2. Qi Zhou
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  3. Chengwei Wu
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  4. Hongyi Li
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Corresponding author

Correspondence to Hongyi Li.

Additional information

This work was partially supported by the National Natural Science Foundation of China (61622302, 61673072, 61573070, 61773072), the Guangdong Natural Science Funds for Distinguished Young Scholar (2017A030306014), and the Department of Education of Guangdong Province (2016KTSCX030).

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Zhang, Z., Zhou, Q., Wu, C. et al. Dissipativity-Based Reliable Interval Type-2 Fuzzy Filter Design for Uncertain Nonlinear Systems. Int. J. Fuzzy Syst. 20, 390–402 (2018). https://doi.org/10.1007/s40815-017-0413-z

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  • DOI: https://doi.org/10.1007/s40815-017-0413-z

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