Abstract
In this article, a new systematic synthesis method is proposed to design a state feedback fuzzy controller for a Takagi-Sugeno (T-S) fuzzy plant. Both the stability and H ∞ performance of the closed-loop system are considered. More specifically, by using the information that the degree of membership function is constrained within the interval [0, 1], the T-S fuzzy plant is transformed into the form of linear fractional transformation (LFT). Within the framework of LFT, the problem of stability and H ∞ performance for the T-S fuzzy system can be reformulated into a convex optimization problem which can be approached by solving two linear matrix inequalities. An numerical example is provided to illustrate the effectiveness of the proposed method.
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