This manuscript addresses the finite-time (FT) H_∞ control issue for distributed parameter switched systems (DPSSs). First, finite-time boundedness for DPSSs is studied. By applying piecewise Lyapunov–Krasovskii functional method incorporated with average dwell time approach, sufficient conditions of the FT boundedness for the DPSSs are derived in terms of linear matrix inequalities. Then, an event-triggered scheme is constructed to design output feedback controller, which guarantees the closed-loop system to be FT bounded. Based on the conditions in FT boundedness and event-triggered FT stabilization, FT H_∞ control problem for DPSSs is developed. Finally, two numerical examples are given to verify the effectiveness of the proposed results.

中文翻译：

---

具有事件触发方案的分布式参数切换系统的有限时间H∞控制

本手稿解决了分布式参数切换系统 (DPSS) 的有限时间 (FT) H _∞控制问题。首先，研究了 DPSS 的有限时间有界性。通过应用分段 Lyapunov-Krasovskii 函数方法结合平均停留时间方法，DPSS 的 FT 有界性的充分条件根据线性矩阵不等式导出。然后，构造事件触发方案来设计输出反馈控制器，保证闭环系统是FT有界的。基于FT有界性和事件触发FT稳定的条件，提出了DPSSs的FT H _∞控制问题。最后，给出了两个数值例子来验证所提结果的有效性。