标题： 带有共位传感和执行的反应扩散PDE类的采样数据和事件触发边界控制 显示英文标题

标题： Sampled-Data and Event-triggered Boundary Control of a Class of Reaction-Diffusion PDEs with Collocated Sensing and Actuation

摘要： 本文为一类具有集中传感和Robin控制的反应扩散PDEs提供了基于观测器的采样数据和事件触发边界控制策略。无限维反步设计被用作基础控制方法。结果表明，如果采样周期足够小，以采样保持方式应用的连续时间输出反馈边界控制可以保证闭环系统的全局指数稳定性。此外，保证了对采样时序扰动的鲁棒性。对于连续时间控制器的事件触发实现，使用了动态触发条件。触发条件决定了需要更新控制输入的时间点。在基于观测器的事件触发边界控制下，结果表明在两个触发时刻之间存在一个与初始条件无关的最小停留时间。此外，建立了闭环系统到平衡点的全局指数收敛性。提供了一个仿真示例来验证理论结果。 显示英文摘要

摘要： This paper provides observer-based sampled-data and event-triggered boundary control strategies for a class of reaction-diffusion PDEs with collocated sensing and Robin actuation. Infinite-dimensional backstepping design is used as the underlying control approach. It is shown that the continuous-time output feedback boundary control applied in a sample-and-hold fashion ensures global closed-loop exponential stability, provided that the sampling period is sufficiently small. Further, robustness to perturbations of the sampling schedule is guaranteed. For the event-triggered implementation of the continuous-time controller, a dynamic triggering condition is utilized. The triggering condition determines the time instants at which the control input needs to be updated. Under the observer-based event-triggered boundary control, it is shown that there is a minimal dwell-time between two triggering instants independent of initial conditions. Further, the global exponential convergence of the closed-loop system to the equilibrium point is established. A simulation example is provided to validate the theoretical results.