Stabilization of T-S Fuzzy Impulsive Systems via A Step-Function Method

Kun Li, Yuming Feng, Shannong Ma, Donghan Xiao

Keywords: step-function, Lyapunov-like function, stability, T-S fuzzy, impulsive systems

Abstract: In this paper, a step-function method is used to analyze the stability of Takagi-Sugeno (T-S) fuzzy impulsive systems. In the step-function method, the Lyapunov-like function does not need to be monotonically decreasing or continuous in each impulsive interval, which widens the stability analysis method of Lyapunov-like to a certain extent. By combining with the mixed impulse, the mixed impulse method of single-step step-function and the mixed impulse method of multi-steps step-function are constructed, and several relatively conservative and sufficient stability conditions of T-S fuzzy impulsive systems are obtained. In addition, the upper bound of impulsive interval is estimated, which is larger than that of other methods. Finally, numerical simulation results are used to verify the effectiveness of the proposed method.

Submission Number: 57