Decentralized guaranteed cost static output feedback vibration control for piezoelectric smart structures

作者：Jiang, Jian ping^*; Li, Dong xu

来源：Smart Materials and Structures, 2010, 19(1): 015018.

DOI：10.1088/0964-1726/19/1/015018

This paper is devoted to the study of the decentralized guaranteed cost static output feedback vibration control for piezoelectric smart structures. A smart panel with collocated piezoelectric actuators and velocity sensors is modeled using a finite element method, and then the size of the model is reduced in the state space using the modal Hankel singular value. The necessary and sufficient conditions of decentralized guaranteed cost static output feedback control for the reduced system have been presented. The decentralized and centralized static output feedback matrices can be obtained from solving two linear matrix inequalities. A comparison between centralized control and decentralized control is performed in order to investigate their effectiveness in suppressing vibration of a smart panel. Numerical results show that when the system is subjected to initial displacement or white noise disturbance, the decentralized and centralized controls are both very effective and the control results are very close.

• 出版日期2010-1
• 单位中国人民解放军国防科学技术大学