论文标题
一类反应扩散PDE的基于观察者的事件触发的边界控制
Observer-based Event-triggered Boundary Control of a Class of Reaction-Diffusion PDEs
论文作者
论文摘要
本文介绍了一种基于观察者的事件触发的边界控制策略，用于与罗宾致动的一类反应扩散PDE。观察者仅需要边界测量。控制方法由使用估计的状态得出的后台输出反馈边界控制器和动态触发条件组成，该条件决定了需要更新控制输入的时间瞬间。结果表明，在提出的基于观察者的事件触发的边界控制方法下，在两个触发的瞬间之间的停留时间最少，而与初始条件无关。此外，还建立了闭环系统与平衡点的良好和全局指数收敛。提供了一个模拟示例来验证理论发展。
This paper presents an observer-based event-triggered boundary control strategy for a class of reaction-diffusion PDEs with Robin actuation. The observer only requires boundary measurements. The control approach consists of a backstepping output feedback boundary controller, derived using estimated states, and a dynamic triggering condition, which determines the time instants at which the control input needs to be updated. It is shown that under the proposed observer-based event-triggered boundary control approach, there is a minimal dwell-time between two triggering instants independent of initial conditions. Furthermore, the well-posedness and the global exponential convergence of the closed-loop system to the equilibrium point are established. A simulation example is provided to validate the theoretical developments.
