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Decentralized fuzzy C-means robust algorithm for continuous systems

Tim Chen (AI LAB, Faculty of Information Technology, Ton Duc Thang University, Ho Chi Minh City, Vietnam)
J.C.Y. Chen (Faculty of Engineering, King Saud University, Riyadh, Saudi Arabia)

Aircraft Engineering and Aerospace Technology

ISSN: 0002-2667

Article publication date: 10 December 2019

Issue publication date: 22 January 2020

103

Abstract

Purpose

This paper aims to address the robust controller design problem for a class of fuzzy C-means clustering algorithm that is robust against both the plant parameter perturbations and controller gain variations. Based on Takagi–Sugeno (T-S) fuzzy model description, the stability and control problems of nonlinear systems are studied.

Design/methodology/approach

A recently proposed integral inequality is selected based on the free-weight matrix, and the less conservative stability criterion is given in the form of linear matrix inequalities (LMIs).

Findings

Under the premise that the controller and the system share the same, the method does not require the number of membership functions and rules.

Practical implications

Furthermore, the modified controller in a large-scale nonlinear system is utilized as a stability criterion for a closed-loop T-S fuzzy system obtained by LMI, and is rearranged by a machine learning membership function.

Originality/value

The closed-loop controller criterion is derived by energy functions to guarantee the stability of systems. Finally, an example is given to demonstrate the results.

Keywords

Acknowledgements

The publishers of Aircraft Engineering and Aerospace Technology wish to retract the article “Decentralized fuzzy C-means robust algorithm for continuous systems” by T. Chen and J.C.Y. Chen, which appeared in Volume 92, Issue 2, 2020.

It has come to our attention that there are concerns regarding the affiliations of the authors and the originality of the paper. A reasonable description of authors’ contribution to the paper has not been provided and concerns regarding their affiliations have not been addressed. An investigation has shown evidence of a compromised peer review process. As a result, the findings of the article cannot be relied upon.

Authors submitting to the journal are expected to adhere to the guidelines and policies of the journal.

The publishers of the journal sincerely apologize to the readers.

Citation

Chen, T. and Chen, J.C.Y. (2020), "Decentralized fuzzy C-means robust algorithm for continuous systems", Aircraft Engineering and Aerospace Technology, Vol. 92 No. 2, pp. 222-228. https://doi.org/10.1108/AEAT-04-2019-0082

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

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