Relaxed stability conditions and systematic design of T-S fuzzy control systems

With the definition and investigation of the general fuzzy partition (GFP), the structural information of the premises and the interactions among the fuzzy subsystems were utilized sufficiently. The new relaxed stability conditions of T-S fuzzy systems were proposed for relaxing the conservatism of the previous ones. A theorem showed the relationships among the stability conditions we proposed. Based on the proposed stability conditions, we presented a systematic design method for T-S fuzzy control systems using parallel distributed compensation (PDC) principle and linear matrix inequalities (LMIs). Two computer simulations of mass-spring-damper nonlinear system demonstrate the effectiveness of the design methodology and the relaxedness of the relaxed stability conditions we proposed.