Abstract
The aim of this paper is to design and experimentally evaluate the performance of a feedback controller to suppress vibration of a flexible beam. The controller is designed to minimize the spatial ℋ 2 norm of the closed-loop system to ensure average reduction of vibration throughout the entire structure. Vibrations of the first six bending modes of the beam are to be controlled using a collocated piezoelectric actuator-sensor pair attached to the beam. Feedthrough terms are incorporated into the flexible-structure model to correct the locations of the in-bandwidth zeros. It is shown that the spatial ℋ 2 control has an advantage over the pointwise ℋ 2 control in minimizing the vibration of the entire structure. The spatial ℋ 2 controller minimizes the ℋ 2 norm of the entire structure more uniformly, while the pointwise ℋ 2 controller only has a local effect. The implemented spatial ℋ 2 controller is able to minimize the first six bending modes of the beam effectively. This spatial ℋ 2 control can also be applied to more general structural vibration suppression problems.
| Original language | English |
|---|---|
| Pages (from-to) | 533-546 |
| Number of pages | 14 |
| Journal | IEEE Transactions on Control Systems Technology |
| Volume | 10 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Jul 2002 |
Keywords
- Flexible structures
- Intelligent structures
- Piezoelectric transducers
- Spatial ℋ norm
- Vibration control
- ℋ control
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering