TY - JOUR
T1 - Linear matrix inequality-based vibration control of three-dimensional Euler–Bernoulli beam with external disturbance
AU - Ji, Jiewen
AU - Liu, Jinkun
AU - Sun, Lin
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2025/3
Y1 - 2025/3
N2 - In this paper, we address the LMI-based vibration control problem of a three-dimensional Euler–Bernoulli beam subject to external disturbance. First, the dynamics of the system is characterized by several partial differential equations (PDEs). Second, in order to realize the disturbance rejection, we propose the disturbance observers. Based on these, the boundary control protocols are designed via linear matrix inequality (LMI) method for suppressing elastic vibration. A significant feature of LMI is that the control gains can be efficiently solved by this method. Finally, some simulation examples illustrate the effectiveness of the proposed theoretical results.
AB - In this paper, we address the LMI-based vibration control problem of a three-dimensional Euler–Bernoulli beam subject to external disturbance. First, the dynamics of the system is characterized by several partial differential equations (PDEs). Second, in order to realize the disturbance rejection, we propose the disturbance observers. Based on these, the boundary control protocols are designed via linear matrix inequality (LMI) method for suppressing elastic vibration. A significant feature of LMI is that the control gains can be efficiently solved by this method. Finally, some simulation examples illustrate the effectiveness of the proposed theoretical results.
KW - Euler–Bernoulli beam
KW - Three-dimension
KW - boundary control
KW - external disturbance
KW - linear matrix inequality method
UR - https://www.scopus.com/pages/publications/105001558338
U2 - 10.1177/10775463241234472
DO - 10.1177/10775463241234472
M3 - 文章
AN - SCOPUS:105001558338
SN - 1077-5463
VL - 31
SP - 851
EP - 863
JO - JVC/Journal of Vibration and Control
JF - JVC/Journal of Vibration and Control
IS - 5-6
ER -