|
|
|
| Power iteration subspace tracing for identification of piezoelectric smart structures |
| LIU Qing-hua1，OUYANG Shan1,2 |
| 1. School of Electronic Engineering, XiDian University, Xi’an 710071,China;2. School of Information and Communication, GuiLin University of Electronic Technology, Guilin 541004, China |
|
|
|
Abstract For the subspace identification of piezoelectric smart structure model, the power iteration subspace tracing algorithm is presented based on the fact that the column space of the extended observability matrix is the same with the signal subspace of autocorrelation matrix of the observation vector, which converges globally and exponentially to the principal subspace. In order to avoid the error propagation of the principal subspace derivation at each iteration, the multistage power iteration decomposition is proposed. The simulation results compared with the projection approximation subspace tracking method show that there are smaller angle between the estimation and the true extended observability matrix, lower root mean square error of output, and higher tracking precision. Finally, the application to the actual model is given to demonstrate the efficiency of the proposed algorithm.
|
|
Received: 10 August 2011
|
|
|
|
|
|
|
2013, Vol. 32 
