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RETRACTED ARTICLE: New Stabilization Conditions for Takagi–Sugeno Fuzzy Systems Involving Time-Varying Delay and Interval Uncertainties

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This article was retracted on 23 September 2021

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Abstract

A new stabilization problem for Takagi–Sugeno (T–S) fuzzy systems involving time-varying delay and interval uncertainties is investigated in this paper. Firstly, a new stabilization condition on dynamic output feedback control for T–S fuzzy systems is proposed. Meanwhile, a robust H∞-γ stabilization criterion for T–S fuzzy systems is presented based on Lyapunov–Krasovskii function. In addition, an incremental sampling method based on loss function is developed to deal with interval uncertainties of T–S fuzzy systems. Sequentially, the stabilization problem is calculated by combining a linear matrix inequality approach with the incremental sampling method. Lastly, two numerical examples are provided to illustrate the effectiveness and feasibility of the proposed approach.

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Acknowledgements

The authors acknowledge the support of National Natural Science Foundation of China (Grant Number 11802224), China Postdoctoral Science Foundation (Grant Number 2018M633495), International postdoctoral Exchange Fellowship Program (grant number 20190109), Fundamental Research Funds for the Central Universities (3102016ZY2016), and Aerospace Science and Technology Innovation Fund (2016kc060013).

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Authors and Affiliations

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University, Xi’an, 710049, People’s Republic of China

    Xiaoxiao Liu

  2. Aerospace Research Institute, Faculty of Science and Engineering, University of Manchester, Manchester, M1 3NJ, UK

    Xiaoxiao Liu

  3. Department of Mechanical and Civil, Northwestern Polytechnical University, Xi’an, 710129, People’s Republic of China

    YuanSheng Wang

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  1. Xiaoxiao Liu
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  2. YuanSheng Wang
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Correspondence to Xiaoxiao Liu.

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This article has been retracted. Please see the retraction notice for more detail: https://doi.org/10.1007/s40815-021-01169-9

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Liu, X., Wang, Y. RETRACTED ARTICLE: New Stabilization Conditions for Takagi–Sugeno Fuzzy Systems Involving Time-Varying Delay and Interval Uncertainties. Int. J. Fuzzy Syst. 23, 434–454 (2021). https://doi.org/10.1007/s40815-020-00938-2

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  • DOI: https://doi.org/10.1007/s40815-020-00938-2

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