Decentralized <inline-formula> <tex-math notation="LaTeX">${H_{\infty}}$ </tex-math> </inline-formula> Filtering for Large-Scaled System Based on T-S Fuzzy Model With the Integrated Event-Triggered Strategy

Abstract

Considering the characteristics of data transmission between the channels, this paper studies the decentralized ${H_\infty }$ filter for the large-scaled system with an integrated event-triggered strategy. The Takagi–Sugeno fuzzy model is used to approximate the large-scaled system. Different from the event-triggered control with the single condition, an event-triggered control with an integrated condition is presented to determine when the measurement output should be broadcast and transmitted to its filter and thus leading to a high efficiency of data transmissions. By applying a Lyapunov–Krasovskii functional and linear matrix inequalities, a method of the integrated event-triggered ${H_\infty }$ filter performance analysis and designing is developed so that the overall filtering error system concerned to be asymptotically stable with a given disturbance attenuation level. A simulation is finally given to show these effective methods in this paper.