Local and global bifurcations in simple Takagi-Sugeno fuzzy systems

The relevance of bifurcation analysis in Takagi-Sugeno (T-S) fuzzy systems is emphasized mainly through examples. It is demonstrated that even the mos t simple cases can show a great variety of behaviors. To understand the ric hness of asymptotic dynamics, one can find in TS systems, a methodology is proposed by invoking bifurcation theory. Several local and global bifurcati ons (some of them, degenerate) are detected and summarized in the correspon ding bifurcation diagrams. It is claimed that this kind of careful analysis could help to cope with some criticism raised regarding the blind use of f uzzy systems.