Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Structural Engineering and Mechanics Volume 67, Number 1, July10 2018 , pages 33-43 DOI: https://doi.org/10.12989/sem.2018.67.1.033 |
|
|
|
Active vibration robust control for FGM beams with piezoelectric layers |
||
Yalan Xu, Zhousu Li and Kongming Guo
|
||
| Abstract | ||
| The dynamic output-feedback robust control method based on linear matrix inequality (LMI) method is presented for suppressing vibration response of a functionally graded material (FGM) beam with piezoelectric actuator/sensor layers in this paper. Based on the reduced model obtained by using direct mode truncation, the linear fractional state space representation of a piezoelectric FGM beam with material properties varying through the thickness is developed by considering both the inherent uncertainties in constitution material properties as well as material distribution and the model error due to mode truncation. The dynamic output-feedback robust H-infinity control law is implemented to suppress the vibration response of the piezoelectric FGM beam and the LMI method is utilized to convert control problem into convex optimization problem for efficient computation. In numerical studies, the flexural vibration control of a cantilever piezoelectric FGM beam is considered to investigate the accuracy and efficiency of the proposed control method. Compared with the efficient linear quadratic regulator (LQR) widely employed in literatures, the proposed robust control method requires less control voltage applied to the piezoelectric actuator in the case of same control performance for the controlled closed-loop system. | ||
| Key Words | ||
| FGM; piezoelectric layers; dynamic output-feedback robust control; linear matrix inequality; uncertainty | ||
| Address | ||
| Yalan Xu, Zhousu Li and Kongming Guo: School of Electronic & Mechanical Engineering, Xidian University, Xi | ||