ADAPTIVE ERROR FEEDBACK REGULATION PROBLEM FOR AN EULER-BERNOULLI BEAM EQUATION WITH GENERAL UNMATCHED BOUNDARY HARMONIC DISTURBANCE

被引：30
作者：
Guo, Wei [1 ]
Zhou, Hua-Cheng [2 ]
机构：
[1] Univ Int Business & Econ, Sch Stat, Beijing 100029, Peoples R China
[2] Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2019年 / 57卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Euler-Bernoulli beam equation; error feedback regulator problem; adaptive control; INTERNAL-MODEL PRINCIPLE; OUTPUT REGULATION; SERVOMECHANISM PROBLEM; UNBOUNDED CONTROL; LINEAR-SYSTEMS; ROBUST-CONTROL; WAVE-EQUATION; STABILIZATION; DESIGN;
D O I：
10.1137/18M1172727
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the adaptive error feedback regulator problem whereby the 1D Euler-Bernoulli beam equation with general unknown amplitude harmonic disturbance is rejected and general harmonic reference signal is tracked. We first construct one auxiliary system in which the measured error becomes the boundary output. Then an adaptive observer is designed in terms of the measured error (its time derivative) to recover the state of the auxiliary system and estimate the unknown parameters. Last, we construct another auxiliary system in which the control and the unmatched disturbance become matched and thus obtain the controller which regulates the error output to zero and keeps the states bounded.
引用
收藏
页码：1890 / 1928
页数：39
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