Exponential Stability of the Euler-Bernoulli Beam Equation with External Disturbance and Output Feedback Time-Delay  

作　　者：WU Jilong SHANG Yingfeng 

机构地区：[1]Department of Mathematics, Tianjin University

出　　处：《Journal of Systems Science & Complexity》2019年第2期542-556,共15页系统科学与复杂性学报（英文版）

基　　金：supported by the National Science Natural Foundation in China under Grant No.61773277

摘　　要：This paper concerns the stability of a one-dimensional Euler-Bernoulli beam equation with external disturbance and output feedback time-delay, in which the disturbance is bounded by an exponential function. In order to estimate disturbance, the authors design an estimator of disturbance,which is composed of two parts: One is the system measurement that is called the eigen-measurement,another is a time-variant estimator of disturbance. Thus, the feedback controller which is based on the estimate of the disturbance is designed to stabilize the system. The finite-time stability of the system under this control law is proved by Lyapunov function method. Finally, some numerical simulations on the dynamical behavior of the closed-loop system is presented to show the correctness of the result.This paper concerns the stability of a one-dimensional Euler-Bernoulli beam equation with external disturbance and output feedback time-delay, in which the disturbance is bounded by an exponential function. In order to estimate disturbance, the authors design an estimator of disturbance,which is composed of two parts: One is the system measurement that is called the eigen-measurement,another is a time-variant estimator of disturbance. Thus, the feedback controller which is based on the estimate of the disturbance is designed to stabilize the system. The finite-time stability of the system under this control law is proved by Lyapunov function method. Finally, some numerical simulations on the dynamical behavior of the closed-loop system is presented to show the correctness of the result.

关 键 词：EIGENFUNCTION measurement EXPONENTIAL stability external DISTURBANCE feedback control 

分 类 号：O1[理学—数学]