Journal
AIRCRAFT ENGINEERING AND AEROSPACE TECHNOLOGY
Volume 92, Issue 2, Pages 222-228Publisher
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/AEAT-04-2019-0082
Keywords
Fuzzy C-means clustering algorithm; Model-free sliding mode; TS fuzzy models; LMI fuzzy criterion; Fuzzy control; Stability
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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. 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.
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