High-gain adaptive regulator for a string equation with uncertain harmonic disturbance under boundary output feedback control
Baozhu GUO
Wei GUO
摘要：This paper considers the boundary stabilization and parameter estimation of a one-dimensional wave equation in the case when one end is fixed and control and harmonic disturbance with uncertain amplitude are input at another end. A high-gain adaptive regulator is designed in terms of measured collocated end velocity. The existence and uniqueness of the classical solution of the closed-loop system is proven. It is shown that the state of the system approaches the standstill as time goes to infitv and meanwhile, the estimated parameter converges to the unknown parameter.
机标关键词：feedback controlstring equationexistence and uniquenessboundary stabilizationparameter estimationclassical solutionadaptive regulatorunknown parameter
分类号：O1(数学)
论文发表日期：2003-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：8( 35-42 )
英文信息