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Non-quadratic Lyapunov functions have now been more and more frequently used for the analysis and design of Takagi-Sugeno fuzzy models. In this paper, we use a delayed non-quadratic Lyapunov function to develop controller design conditions for TS systems. The conditions can easily be formulated as LMIs. We show that in certain cases the developed conditions are more relaxed than current state-of-the-art...
In this paper we propose a method to design local observers for Takagi-Sugeno fuzzy models obtained from nonlinear systems by the sector nonlinearity approach. When a global observer cannot be designed, using our method it is still possible to design observers that are valid in a well-defined region of the state-space. The design is based on a nonquadratic Lyapunov function. Depending on whether or...
A large class of nonlinear systems can be well approximated by Takagi-Sugeno fuzzy models, for which methods and algorithms have been developed to analyze their stability and to design observers and controllers. However, results obtained for Takagi-Sugeno fuzzy models are in general not directly applicable to the original nonlinear system. In this paper, we investigate what conclusions can be drawn...
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