Local fuzzy modeling: Maximising the basin of attraction

Most fuzzy control papers check LMI stability conditions in order to prove global stability of Takagi-Sugeno fuzzy systems which anyway amounts to local stability results on the originating (sector-nonlinearity modeled) nonlinear system. In case of having into account the shape of the membership functions in a particular region of interest, less conservative stability and stabilization conditions can be easily set up. In this paper local quadratic stability results are explored in order to obtain the largest basin of attraction for a particular system.