论文标题
事件触发的反应扩散PDE的增益计划
Event-triggered gain scheduling of reaction-diffusion PDEs
论文作者
论文摘要
本文讨论了1D反应扩散PDE的边界稳定问题，并具有时间和空间变化的反应系数。边界控制设计依赖于反向替代方法。边界控制的收益安排在两个合适的事件触发机制下。更确切地说，根据两个依赖状态的事件触发条件计算/更新事件的收益：基于静态和动态的条件，在此条件下，可以保证避免Zeno行为，避免Zeno行为以及封闭环境系统的指数稳定性。提出了数值模拟以说明结果。
This paper deals with the problem of boundary stabilization of 1D reaction-diffusion PDEs with a time- and space- varying reaction coefficient. The boundary control design relies on the backstepping approach. The gains of the boundary control are scheduled under two suitable event-triggered mechanisms. More precisely, gains are computed/updated on events according to two state-dependent event-triggering conditions: static-based and dynamic-based conditions, under which, the Zeno behavior is avoided and well-posedness as well as exponential stability of the closed-loop system are guaranteed. Numerical simulations are presented to illustrate the results.
