反推
边界(拓扑)
反应扩散系统
停留时间
控制器(灌溉)
观察员(物理)
趋同(经济学)
班级(哲学)
控制理论(社会学)
非线性系统
计算机科学
控制(管理)
应用数学
最优控制
数学
扩散
理论(学习稳定性)
抛物型偏微分方程
偏微分方程
数学分析
自适应控制
物理
农学
经济增长
量子力学
经济
临床心理学
人工智能
医学
生物
作者
Bhathiya Rathnayake,Mamadou Diagne,Nicolas Espitia,Iasson Karafyllis
出处
期刊:arXiv e-prints
日期:2020-09-24
摘要
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.
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