A new method of stability analysis for T-S fuzzy systems

According to the Takagi-Sugeno (T-S) fuzzy control model of the nonlinear system, using non-parallel distributed control law, a new stability criterion condition and the corresponding analysis method was proposed. Based on Lyapunov stability theorem and linear matrix inequality approach, this condition decouples between the Lyapunov variables and the controller variables by introducing an auxiliary variable and a non-symmetrical matrix, and then reduces the conservatism of stability analysis. The simulations indicate the validity of the proposed methods.