Adaptive event-triggered quantized H8 fuzzy filtering for T-S fuzzy systems via fuzzy Lyapunov-Krasovskii functional method

This article is concerned on the problem of adaptive event-triggered quantized H-infinity fuzzy filtering for networked T-S fuzzy control systems under imperfect premise matching. First, a novel adaptive event-triggered communication scheme for networked fuzzy control systems is built to save more limited network bandwidth, where the event-triggered parameter is changed with the output fluctuation. Second, a fuzzy filter with the imperfect premise matching is designed. Under consideration of event-triggered scheme and quantization method, an unified filtering error model is well constructed, which contains time delay and parameter uncertainties. Then, a new augmented fuzzy Lyapunov-Krasovskii functional including a fuzzy Lyapunov matrix and a delay product term is established, and sufficient conditions are derived to guarantee the asymptotic stability of the filtering error system with a given H-infinity performance. Moreover, the corresponding filter can be designed by solving a set of linear matrix inequalities. Finally, a numerical example is put forward to illustrate the effectiveness and advantages of the proposed method.