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Improved Stability and Stabilization Criteria for T-S Fuzzy Systems with Distributed Time-Delay

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Data Mining and Big Data (DMBD 2017)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 10387))

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Abstract

This paper investigates the stability and stabilization analysis problem of nonlinear systems with distributed time-delay. The T-S fuzzy model is employed to describe the nonlinear plant. When designing fuzzy controller, the novel imperfect premise matching method is adopted, which allows the fuzzy model and the fuzzy controller to use different premise membership functions and different number of rules. As a result, greater design flexibility can be obtained. By applying a new tighter integral inequality which involves information about the double integral of the system states, and introducing the information of membership functions, less conservative stability and stabilization conditions are derived. Finally, a numerical example is provided to clarify the effectiveness of the proposed approach.

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Author information

Authors and Affiliations

  1. Harbin Institute of Technology, Harbin, 150001, China

    Qianqian Ma, Hongwei Xia & Guangcheng Ma

  2. The First Natural Gas Plant, Petro China Changqing Oilfield Company, Jingbian, 718500, China

    Yong Xia & Chong Wang

Authors
  1. Qianqian Ma
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  2. Hongwei Xia
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  3. Guangcheng Ma
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  4. Yong Xia
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  5. Chong Wang
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Corresponding author

Correspondence to Hongwei Xia .

Editor information

Editors and Affiliations

  1. Peking University, Beijing, China

    Ying Tan

  2. Kyushu University, Fukuoka, Japan

    Hideyuki Takagi

  3. Southern University of Science and Technology, Shenzhen, China

    Yuhui Shi

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© 2017 Springer International Publishing AG

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Ma, Q., Xia, H., Ma, G., Xia, Y., Wang, C. (2017). Improved Stability and Stabilization Criteria for T-S Fuzzy Systems with Distributed Time-Delay. In: Tan, Y., Takagi, H., Shi, Y. (eds) Data Mining and Big Data. DMBD 2017. Lecture Notes in Computer Science(), vol 10387. Springer, Cham. https://doi.org/10.1007/978-3-319-61845-6_51

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  • DOI: https://doi.org/10.1007/978-3-319-61845-6_51

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-61844-9

  • Online ISBN: 978-3-319-61845-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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