Rayleigh梁系统的事件触发控制  

Event-triggered control of Rayleigh beam system

作　　者：余欢欢 严佳梦 章春国[1] YU Huanhuan;YAN Jiameng;ZHANG Chunguo(School of Sciences,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

出　　处：《杭州电子科技大学学报(自然科学版)》2025年第1期95-102,共8页Journal of Hangzhou Dianzi University:Natural Sciences

摘　　要：研究了Rayleigh梁系统的事件触发控制。首先,将Rayleigh梁系统改写为抽象发展方程,运用线性算子的扰动定理得到该系统的适定性;再借助Rayleigh梁的特征值渐近展开,通过比较原来系统控制和事件触发控制的误差,得到了事件触发控制Rayleigh梁系统的指数稳定性。算例验证了理论结果的有效性。evolution equation,and the well-posedness of the system is obtained by using the perturbation theorem of linear operators.Secondly,by utilizing the asymptotic expansion of the eigenvalues of the Rayleigh beam,the exponential stability of the event triggered control Rayleigh beam system is obtained by comparing the errors between the original system control and the event triggered control.Finally,an example is given to demonstrate the effectiveness of the theoretical results.

关 键 词：Rayleigh梁系统 事件触发控制 适定性 指数稳定性 

分 类 号：O231.4[理学—运筹学与控制论]