
This paper presents piecewise nonlinear control for piecewise Takagi-Sugeno fuzzy systems described by a local Takagi-Sugeno fuzzy model in each piecewise region. We provide a piecewise sector nonlinearity idea to construct a piecewise Takagi-Sugeno fuzzy model from given nonlinear dynamics. In addition, a piecewise fuzzy Lyapunov function is employed to avoid conservatism of common Lyapunov stability results. We drive a stabilization condition based on the piecewise fuzzy Lyapunov function approach. A stabilizing piecewise fuzzy controller is designed by solving the derived conditions. Some examples demonstrate the effectiveness of our approach.
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