Performance output tracking and disturbance rejection for an Euler-Bernoulli beam equation with unmatched boundary disturbance

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:470

Article

Zhou, Hua-Cheng¹  Guo, Wei² 

[1] Cent South Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China

[2] Univ Int Business & Econ, Sch Stat, Beijing 100029, Peoples R China

关键词: Distributed parameter system;    Euler-Bernoulli beam;    Disturbance rejection;    Performance output tracking;   

DOI  :  10.1016/j.jmaa.2018.10.062

来源: Elsevier

【 摘 要 】

This paper considers performance output tracking and disturbance rejection for a boundary controlled one-dimensional Euler Bernoulli beam equation suffered unknown external bounded disturbance. By first proposing a disturbance estimator and then based on this disturbance estimator, we construct a servomechanism to track the reference signal and reject the external disturbance. Four control objectives are achieved: a) the output is exponentially tracking the reference signal; b) the disturbance is rejected; c) all the states of internal-loops are bounded; d) when the disturbance and reference are disconnected, the closed-loop is exponentially stable. Finally, the state of the system is shown to be exponentially tracking the reference state. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free