00000cab a22000003a 4500 UP-99796217609532822 Buklod 20231007234345.0 m |o d | ta 101109s xx d | ||r ||||| || DENGII eng Kiriakidis, K. Robust stabilization of the Takagi-Sugeno fuzzy model via bilinear matrix inequalities. pp. 269-277 Quadratic stability has enabled, mainly via the linear matrix inequality framework, the analysis and design of a nonlinear control system from the local matrices of the system's Takagi-Sugeno (T-S) fuzzy model. It is well known, however, that there exist stable differential inclusions, hence T-S fuzzy models whose stability is unprovable by a globally quadratic Lyapunov function. At present, literature in the broader area of stability analysis suggests piecewise-quadratic stability as a means to avoid such conservatism. This paper generalizes the idea and proposes a framework that supports less conservative sufficient conditions for the stability of the T-S model by using piecewise-quadratic generalized Lyapunov functions. The advocated approach results in the formulation of the controller synthesis, which, herein, aims for robust stabilization, as a problem of bilinear rather than linear matrix inequalities. Simulation studies, which include an algorithm for solution of bilinear matrix inequalities, demonstrate the proposed method LMI. T-S fuzzy model. Takagi-Sugeno fuzzy model. Bilinear matrix inequalities. Controller synthesis. Globally quadratic Lyapunov function. Linear matrix inequality framework. Local matrices. Nonlinear control system analysis. Nonlinear control system design. Piecewise-quadratic generalized Lyapunov functions. Piecewise-quadratic stability. Quadratic stability. Robust stabilization. Stability analysis. Stable differential inclusions. IEEE Transactions on fuzzy systems 9, 2 (2001). FO UPD DENG-II Article