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Absolute stability analysis for a class of Takagi-Sugeno fuzzy control systems. (English) Zbl 1167.93365
Summary: This article presents absolute stability conditions for a particular class of Takagi-Sugeno fuzzy control systems. Initially, a Takagi-Sugeno fuzzy control system is transformed into a multivariable Lur’e type system. A simple algorithm for checking the absolute stability of this system is then proposed. Since the key of the proposed algorithm is to solve algebraic Riccati equations, software packages such as MATLAB provides a simple means to check the conditions. The proposed approach does not limit the methods of fuzzification and defuzzification. This article presents several analytical examples to verify the simplicity and efficiency of the proposed approach.

MSC:
93C42Fuzzy control systems
93D09Robust stability of control systems
93C35Multivariable systems, multidimensional control systems
Software:
Matlab
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