Network-based H∞ Filter Design for T-S Fuzzy Systems with a Hybrid Event-triggered Scheme

This paper studies the $H_{\infty}$ filter design problem for a nonlinear system based on Takagi-Sugeno model. Firstly, we propose a hybrid and adaptive event-triggered scheme, which contributes to save the limited communication resource while excluding the Zeno behavior. Then, a slack Lyapunov-Krasovskii functional (LKF), the discontinuity and non-positive definiteness of which are allowed in a triggered interval, is constructed. Based on the above methods, sufficient criteria on the exponential stability of the filtering error system with a weighted $H_{\infty}$ performance are established, the design method of the desired filter is achieved as well. Finally, the obtained result is verified by a tunnel diode circuit system.