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

• Published in: Journal of mathematical analysis and applications Vol. 470; no. 2; pp. 1222 - 1237
• Main Authors: Zhou, Hua-Cheng, Guo, Wei
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.02.2019
• Subjects: Distributed parameter system; Disturbance rejection; Euler–Bernoulli beam; Performance output tracking; Disturbance rejection; Euler–Bernoulli beam; Performance output tracking; Distributed parameter system
• ISSN: 0022-247X; 1096-0813
• DOI: 10.1016/j.jmaa.2018.10.062

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.