Abstract: Concerning the output error model, order identification and parameter estimation were integrated and extended, and the determinant ratio method based on the auxiliary model was put forward. The system order and parameter estimation were got simultaneously with this method, so it could reduce calculation time in the process of system identification. Considering the inaccuracy of the determinant ratio method, a model validation method was proposed to enhance the identification ability. At last, the simulation indicates that the expended determinant ratio method effectively estimates the system order and parameters.

Key words: order identification, parameter estimation, determinant ratio method, auxiliary model, least-squares

摘要： 针对输出误差模型，结合辅助模型的思想对原有阶次辨识和参数估计的方法进行融合和扩展，推导出基于辅助模型的行列式比定阶法，同时得出模型的阶次和参数，不仅减少了辨识过程的计算量，也节约了辨识时间。考虑到原有行列式比定阶法可能存在的不准确性，提出了一种系统模型的确认方法，增强了阶次辨识能力。仿真实验也充分表明，对行列式比定阶法的扩展不仅可以准确地辨识出系统的阶次，得出的参数估计值也有较高的精度。

关键词: 阶次辨识, 参数估计, 行列式比定阶法, 辅助模型, 最小二乘