Frequency Analysis of T-s Fuzzy Control Systems
نویسندگان
چکیده
This paper investigates the problem of analysis of a Takagi-Sugeno (T-S) fuzzy control system in the frequency domain. First, a linear plant with a T-S fuzzy controller is considered, and the complex dynamic behaviors of the system generated by the nonlinearity in the controller are analyzed. The global stability, instability and existence of limit cycles of the system are predicted with the aid of the describing function method. Then, the method is extended to the robust control of an uncertain system, and the condition is given under which the T-S fuzzy controller can guarantee the global stability of the closed-loop system. All the results are obtained straightforwardly by the frequency domain graphic methods and simulations are finally provided to show the effectiveness of the proposed analysis methods.
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