Time domain model order reduction using general orthogonal polynomials for K-power bilinear systems |
| |
Authors: | Zhen-Zhong Qi Zhi-Hua Xiao |
| |
Affiliation: | Department of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, China |
| |
Abstract: | In this paper, we propose a model order reduction (MOR) method based on general orthogonal polynomials for K-power bilinear systems in the time domain. Constructing proper projection matrices by solving a series of linear equations, a reduced K-power bilinear system is produced, which preserves the original coupled structure. It can match several expansion coefficients of the original output. Then the error bound of our algorithm is also investigated. Moreover, the stability of the reduced system is discussed as well. Finally, two numerical examples are provided to illustrate the effectiveness of our algorithm. |
| |
Keywords: | Model order reduction K-power bilinear systems orthogonal polynomials stability function approximation |
|
|