Boundary stabilisation via event-triggered output-feedback for a class of 2 x 2 hyperbolic systems
Boundary stabilisation via event-triggered output-feedback for a class of 2 x 2 hyperbolic systems
复制标题
通过事件触发的输出反馈实现 2 × 2 类双曲线系统的边界稳定
DOI：
10.1080/00207721.2020.1802624
复制
发表时间：
2020
影响因子：
4.3
通讯作者：
Li Jian
中科院分区：
文献类型：
--
作者：
Li Xia;Liu Yungang;Li Fengzhong;Li Jian
本文研究了一类双曲型系统的事件触发输出反馈边界镇定问题。与相关工作不同的是，系统参数是空间变化的，并且只有一个边界测量可用于反馈，这给事件触发控制的分析和综合带来了本质上的困难。针对该问题，利用时变策略和无穷维反推技术，设计了一种事件触发输出反馈控制器。特别地，确定具有引入到阈值中的额外衰减信号的时变事件触发机制。严格证明了所设计的事件触发控制器能够保证闭环系统的所有状态在范数意义下指数收敛到零，同时不出现Zeno现象.两个仿真例子说明了所建立的边界控制策略的有效性。
This paper is devoted to the boundary stabilisation via event-triggered output-feedback for a class ofhyperbolic systems. Different from the closely related works, the system parameters are spatially varying and only one boundary measurement is available for feedback, which brings essential difficulties to the analysis and synthesis of event-triggered control. To solve the problem, by using the time-varying strategy and the infinite-dimensional backstepping technique, a novel event-triggered output-feedback controller is designed for the systems. Particularly, a time-varying event-triggering mechanism, with an extra decaying signal introduced into the threshold, is determined. It is rigorously shown that the designed event-triggered controller can guarantee that all the states of the resulting closed-loop system exponentially converge to zero in the sense ofnorm while no Zeno phenomenon occurs. Two simulation examples are given to illustrate the effectiveness of the established boundary control strategy.