基于输出带干扰非线性一维波动方程的输出反馈镇定  

Output Feedback Stabilization of Nonlinear One-Dimensional Wave Equation Under Boundary Output with Disturbance

作　　者：张小英[1] 柴树根[2] ZHANG Xiaoying;CHAI Shugen(College of Arts and Sciences, Shanxi Agricultural University, Taigu 030801;School of Mathematical Sciences, Shanxi University, Taiyuan 030006)

机构地区：[1]山西农业大学文理学院 [2]山西大学数学科学学院

出　　处：《系统科学与数学》2019年第1期15-29,共15页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(11671240);山西农业大学科技创新基金(2017ZZ06)资助课题

摘　　要：研究了基于输出带干扰非线性一维波动方程的输出反馈镇定.首先,设计时变增益观测器获得干扰的估计.其次,使用干扰补偿原则获得输出反馈控制器.最后,对闭环系统解的存在性与唯一性作了证明,进一步使用能量扰动法获得闭环系统的渐近稳定性.This paper studies the output feedback stabilization for nonlinear onedimensional wave equation under boundary output with disturbance. Firstly, a time varying gain extended state observer is designed in terms of output to estimate disturbance. Secondly, the output feedback controller is obtained by the principle of interference compensation. Finally, the existence and uniqueness of the classical solution of the closed-loop system is proved and the asymptotical stability of the closed-loop system is obtained by the energy perturbation method by us.

关 键 词：非线性一维波方程 输出带干扰 输出反馈镇定 

分 类 号：O231[理学—运筹学与控制论]