基于Hankel相关函数的电机闭环投影子空间辨识

doi:10.16182/j.issn1004731x.joss.201806008

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (6): 2058-2065.doi: 10.16182/j.issn1004731x.joss.201806008

基于Hankel相关函数的电机闭环投影子空间辨识

佘明洪^{1, 2}

1. 重庆大学自动化学院,重庆 400044;
2. 重庆电子工程职业学院计算机学院,重庆 401331

收稿日期:2017-01-17 修回日期:2017-05-24 出版日期:2018-06-08 发布日期:2018-06-14
作者简介:佘明洪(1979-), 男, 四川成都, 博士生, 讲师, 研究方向为系统辨识、预测控制、模式识别。
基金资助:
国家自然科学基金(61403055), 研究生科技创新基金优秀新生科研培育项目(CDJXS12171101), 重庆市教委科学技术研究项目(KJ1729403)

Identification of Closed Loop Projection Subspace for Motor Based on Hankel Correlation Function

She Minghong^{1, 2}

1. School of Automation, Chongqing University, Chongqing 400044, China;
2. Computer College, Chongqing College of Electronic Engineering, Chongqing 401331, China

Received:2017-01-17 Revised:2017-05-24 Online:2018-06-08 Published:2018-06-14

摘要/Abstract

摘要： 为解决闭环系统辨识中存在模型参数估计偏差较大的问题,给出闭环子空间辨识模型及基于相关函数估计的状态空间模型,通过相关函数估计和随后进行的零空间投影,对识别框架的分块Hankel矩阵进行填充;基于相关数据时间偏移集上的相同投影,通过数值计算RQ分解实现投影的乘法操作,获得未知设备系统模型的动力学估计;通过在感应电动机闭环系统上的仿真实验显示,所提方法具有更高的辨识精度,并通过真实环境下的电机硬件对辨识算法性能进行了验证。

Abstract: To solve estimation deviation problem of model parameter in the closed-loop system identification, the subspace identification model and state space model based on the estimation of the correlation function are presented, and through the correlation function estimation and zero space followed by projection, the block Hankel matrix of identification framework was filled so as to obtain the scope of the extended observability matrix; on the basis of the same projection on the time offset set of related data, the RQ decomposition of the projection is calculated by numerical calculation, and the dynamic estimation of the system model is obtained. The simulation experiment on the closed loop system of induction motor indicates that the proposed method has higher identification accuracy, and it is verified by the hardware in the real environment.

Key words: correlation function, Hankel matrix, closed loop system, subspace identification, induction motor

中图分类号:

TM75

佘明洪. 基于Hankel相关函数的电机闭环投影子空间辨识[J]. 系统仿真学报, 2018, 30(6): 2058-2065.

She Minghong. Identification of Closed Loop Projection Subspace for Motor Based on Hankel Correlation Function[J]. Journal of System Simulation, 2018, 30(6): 2058-2065.

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基于Hankel相关函数的电机闭环投影子空间辨识

Identification of Closed Loop Projection Subspace for Motor Based on Hankel Correlation Function

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