Journal of Intelligent and Robotic Systems
Four wheel steering control by fuzzy approach
Journal of Intelligent and Robotic Systems
Fundamentals of a fuzzy-logic-based generalized theory of stability
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on cybernetics and cognitive informatics
Issues concerning the analysis and implementation of a class of fuzzy controllers
Fuzzy Sets and Systems
Non-common P stability/stabilizaion analysis via multiconvexity approach
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Robust load-frequency control for uncertain nonlinear power systems: A fuzzy logic approach
Information Sciences: an International Journal
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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