The paper focuses on the finite-time \(H_{\infty }\) filtering (FTHF) design problem for a class of switched nonlinear systems (SNSs) via the T–S fuzzy model method. Different from the traditional FTHF design methods with time-triggered mechanism, a novel event-triggered scheme is proposed for SNSs, which takes full advantage of mixed switching signals. The information of system output and switching signals is available to the filter at each event-triggered sampling instant. By using the average dwell time technique and controller-mode-dependent Lyapunov function method, sufficient conditions of finite-time \(H_{\infty }\) filtering for SNSs are established. Then, the \(H_{\infty }\) filtering gains and event-triggered parameters can be obtained by solving some matrix inequalities. Finally, numerical simulations are provided to verify the effectiveness of the obtained theoretical results.

本文通过T–S模糊模型方法，针对一类切换非线性系统（SNS）的有限时间\（H _ {\ infty} \）滤波（FTHF）设计问题。与传统的具有时间触发机制的FTHF设计方法不同，提出了一种针对SNS的事件触发新方案，该方案充分利用了混合切换信号的优势。在每个事件触发的采样瞬间，系统输出和开关信号的信息可用于滤波器。通过使用平均停留时间技术和依赖于控制器模式的Lyapunov函数方法，为SNS建立了有限时间\（H _ {\ infty} \）滤波的充分条件。然后，\（H _ {\ infty} \）通过解决一些矩阵不等式，可以获得滤波增益和事件触发参数。最后，提供数值模拟以验证所获得理论结果的有效性。