Absolute stability analysis for a class of Takagi-Sugeno fuzzy control systems

Authors:
Chyun-Chau Fuh
Affiliations:
Department of Mechanical and Mechatronic Engineering, National Taiwan Ocean University, Taiwan, R.O.C.
Venue:
International Journal of Systems Science
Year:
2008

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Abstract

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.