Dynamic Event-triggered Fuzzy Filtering for Semi-linear Parabolic PDE Systems: A Reduced-order Approach

This paper investigates dynamic event-triggered fuzzy reduced-order filtering for a class of nonlinear semi-linear parabolic partial differential equation (PDE) systems. First, the considered systems are reconstructed by a Takagi-Sugeno (T-S) fuzzy model based on the sector nonlinearity approach. Furthermore, a dynamic event-triggered mechanism is developed to improve network resource utilization. Based on the non-parallel distribution compensation principle, several theorems that guarantee the augmented system’s asymptotic stability with L₂-L_∞ performance are provided. Finally, two examples are introduced to illustrate the effectiveness of the proposed method.