A piecewise Takagi-Sugeno fuzzy model construction and relaxation of stability conditions
T. Hori, Kazuo A. TANAKA, H.O. Wang · 2003
We present a piecewise Takagi-Sugeno fuzzy model and its stability analysis via a piecewise fuzzy Lyapunov function. A key feature of avoiding conservatism is that the piecewise fuzzy Lyapunov function mirrors the known structure of a piecewise Takagi-Sugeno fuzzy model. In addition, to construct a piecewise Takagi-Sugeno fuzzy model from given nonlinear dynamics, we employ the so-called piecewise sector nonlinearity concept which is a new extensive idea for the global or semi-global sector nonlinearity concept. An example illustrates the effectiveness of our approach.