Fuzzy control based on quadratic performance function-a linear matrix inequality approach

2002 ◽  
Author(s):  
K. Tanaka ◽  
T. Taniguchi ◽  
H.O. Wang
Keyword(s):  
Fuzzy Control ◽  
Linear Matrix Inequality ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Performance Function ◽  
Quadratic Performance ◽  
Linear Matrix Inequality Approach

Comments on “Takagi–Sugeno fuzzy control for a wide class of fractional-order chaotic systems with uncertain parameters via linear matrix inequality”

2019 ◽  
Vol 26 (9-10) ◽  
pp. 643-645
Author(s):  
Xuefeng Zhang
Keyword(s):  
Fuzzy Control ◽  
Linear Matrix Inequality ◽  
Fractional Order ◽  
Wide Class ◽  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Uncertain Parameters ◽  
Matrix Inequality ◽  
Takagi Sugeno

This article shows that sufficient conditions of Theorems 1–3 and the conclusions of Lemmas 1–2 for Takasi–Sugeno fuzzy model–based fractional order systems in the study “Takagi–Sugeno fuzzy control for a wide class of fractional order chaotic systems with uncertain parameters via linear matrix inequality” do not hold as asserted by the authors. The reason analysis is discussed in detail. Counterexamples are given to validate the conclusion.

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