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RETRACTED ARTICLE: Fuzzy C-means robust algorithm for nonlinear systems

  • Methodologies and Application
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This article was retracted on 21 December 2023

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Abstract

This paper addresses the criterion of the robust controller design for the solution of a number of fuzzy C-means clustering algorithms, which are robust to plant parameter disturbances and controller gain variations. The control and stability problems in the present nonlinear systems are studied based on a Takagi–Sugeno (T–S) fuzzy model. A lately and important proposed integral inequality is considered and selected according to the method of the free weight matrix, with these comparatively flexible stability criteria which are determined in the numerical form of linear matrix inequalities (LMIs). Under the condition of the premise in which the controller and the control system partake the same rules, the method does not inquire the same number of membership functions and mathematical rules. In addition, the improved control is used for large-scale nonlinear systems, where the stability criterion of the closed T–S fuzzy system is obtained through LMI and rearranged through the membership function for machine learning . The close-loop controller criteria are derived by using the Lyapunov energy functions to guarantee the stability of the system . Eventually, an instance is presented to reveal the efficacy of evolution.

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Authors and Affiliations

  1. Faculty of Information Technology, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Tim Chen

  2. Faculty of Information Technology, University of California, Irvine, USA

    D. Kuo

  3. Faculty of Industrial Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    C. Y. J. Chen

Authors
  1. Tim Chen
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  2. D. Kuo
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  3. C. Y. J. Chen
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Contributions

Dr. TC wrote the main manuscript text, Dr. DK developed the algorithm and Dr. CYJC prepared and demonstrated the methodology.

Corresponding author

Correspondence to C. Y. J. Chen.

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Conflict of interest

The author declares that there is not any conflict of interest regarding the process of publication of this article. All the analyzed material during the present study are included in this paper.

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This article has been retracted. Please see the retraction notice for more detail: https://doi.org/10.1007/s00500-023-09588-6"

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Chen, T., Kuo, D. & Chen, C.Y.J. RETRACTED ARTICLE: Fuzzy C-means robust algorithm for nonlinear systems. Soft Comput 25, 7297–7305 (2021). https://doi.org/10.1007/s00500-021-05655-y

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  • DOI: https://doi.org/10.1007/s00500-021-05655-y

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