Abstract
This paper addresses the problem of designing the controller for a class of nonlinear systems by using the Takagi-Sugeno fuzzy models. Based on generalised fuzzy Lyapunov function and homogeneous polynomial techniques, a new method is proposed to locally stabilize the Takagi-Sugeno fuzzy system. The new method overcomes the drawbacks of the previous results and enlarges the design space. Finally, two examples are given to illustrate the effectiveness of the approach.
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