4.6 Article

Admissibilisation of singular interval type-2 Takagi-Sugeno fuzzy systems with time delay

Journal

IET CONTROL THEORY AND APPLICATIONS
Volume 14, Issue 8, Pages 1022-1032

Publisher

INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2019.0791

Keywords

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Funding

  1. Natural Science Foundation of Heilongjiang Province of China [YQ2019F004]
  2. National Natural Science Foundation of China [61741305, 61763045]
  3. Fundamental Research Funds for the Central Universities [3072019CFJ0401]
  4. Fundamental Research Project of Natural Science Foundation of Shaanxi Province [2020JM-552]
  5. China Postdoctoral Science Foundation [2018M63034, 2018T110275]

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This study investigates the admissibility analysis and stabilisation problems for singular interval type-2 Takagi-Sugeno fuzzy systems with time delay. A generalised integral inequality method is used to obtain the delay-dependent condition. The criteria for admissibility analysis and controller synthesis are given in terms of linear matrix inequalities. In order to reduce the conservatism of the system, some free weighting matrices and advanced integral inequalities are introduced. Finally, two illustrative examples are exhibited to demonstrate the effectiveness of the proposed method.

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