Model reduction of bilinear systems based on Laguerre series expansion

作者:Wang Xiaolong*; Jiang Yaolin
来源:Journal of the Franklin Institute, 2012, 349(3): 1231-1246.
DOI:10.1016/j.jfranklin.2012.01.009

摘要

We present a model reduction method for bilinear systems based on the Laguerre series expansion of the kernels resulting from the Volterra representation theory. By employing a two-sided projection, the reduced order system preserves a desired number of Laguerre coefficients, thereby approximating the original system faithfully. Furthermore, the relationship between the proposed Laguerre-based methods and the moment matching methods is studied, which reveals that these two approaches are equivalent under some specific conditions.