【作者】 王建宏； 朱永红；

【Author】 Jianhong Wang , Zhu Yong-hong School of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen, 333403

【机构】 景德镇陶瓷学院机电学院；

【摘要】 本文从系统辨识的角度研究ARX系统辨识中的模型降阶问题。对于用线性回归形式表示的过程模型,根据概率框架体系下的参数矢量估计的渐近分析结果,推导了ARX模型中未知参数矢量的渐近方差形式。在辨识参数矢量的基础上,采用L2模型降阶的方法,推导了低阶模型中未知参数矢量的辨识方法,并分析了低阶模型中未知参数矢量的渐近方差表示形式。最后用仿真算例验证本文方法的有效性和可行性更多还原

【Abstract】 In this paper, we discuss the problem of model reduction in ARX system from the point of system identification.When consider the process model represented by the linear regression form, based on the asymptotic analysis results of the unknown parameters vector in the probability frame system, we derive the asymptotic variance matrix form of the unknown parameters vector in ARX system. When obtain the identified parameters vector, we apply the most popular model reduction method L 2 method and derive the identification strategy about the unknown parameters vector in the reduced model. Furthermore, we analyse the asymptotic variance matrix form of the unknown parameters vector in the reduced model. Finally, the efficiency and possibility of the proposed strategy can be confirmed by the simulation example results.更多还原