This study focuses on an event-triggered control of Takagi-Sugeno (T–S) fuzzy systems. An extended dissipativity performance index is introduced, and several kinds of event-triggered control issues, such as passivity, H_∞, $L_2-L_{\infty },$ and $(\mathcal{Q},\mathcal{S},\mathcal{R})$-dissipativity, are solved in a unified framework. By utilizing the free-matrix-based double integral inequality in the derivation of a Lyapunov–Krasovskii functional, sufficient conditions are provided to ensure that the considered closed-loop system is asymptotically stable. These criteria are formulated in terms of linear matrix inequalities. Two numerical examples are given to exhibit the improved conservatism and the adequacy of the obtained results.

这项研究的重点是事件触发的Takagi-Sugeno（TS）模糊系统控制。扩展耗散性能指标的引入，以及几种事件触发的控制问题，如被动，^ h _∞，${\mathrm{大号}}_2-{\mathrm{大号}}_{\infty }，$ 和 $（\mathcal{问}，\mathcal{小号}，\mathcal{[R}）$-耗散性，在统一框架内解决。通过在Lyapunov–Krasovskii泛函的推导中利用基于自由矩阵的双积分不等式，提供了充分的条件来确保所考虑的闭环系统是渐近稳定的。这些标准是根据线性矩阵不等式制定的。给出了两个数值示例，显示了改进的保守性和所获得结果的充分性。