多输入多输出变量带误差模型的最坏情况频域辨识（英文）  

Frequency-domain worst-case identification of multiple input multiple output errors-in-variables models

作　　者：耿立辉[1] 崔世钢[1] 赵丽[1] 

机构地区：[1]天津职业技术师范大学自动化与电气工程学院天津市信息传感与智能控制重点实验室,天津300222

出　　处：《控制理论与应用》2016年第10期1366-1372,共7页Control Theory & Applications

基　　金：Supported by National Natural Science Foundation of China(61203119,61304153);Key Program of Tianjin Natural Science Foundation,China(14JCZDJC36300);Tianjin University of Technology and Education Funded Project(RC14-48)

摘　　要：本文将单输入单输出(SISO)变母带误差(EIV)模型的频域最坏情况辨识方法推广应用于多输入多输出(MIMO)情况.类似于SISO情况,多输入多输出变量带误差(MIMO EIV)模型的辨识模型集合由估计的系统名义模型及其最坏情况误差界描述.所估计的系统名义模型表征为正规右图符号,其最坏情况误差界具有可能的更少保守性,可利用EIV模型的先验信息和后验信息由v-gap度量量化得到.因此,这种模型集合非常适合于后期利用Vinnicombe提出的H。。回路成形法设计鲁棒控制器.最后,利用一数值仿真实例验证所提出辨识方法的有效性.This paper extends a frequency-domain worst-case identification method for single input single output (SISO) errors-in-variables (EIV) models to its multiple input multiple output (MIMO) case. Similar to the SISO case, the identified model set for a MIMO EIV model is described by an estimated nominal system model and its worst-case error bound. The estimated nominal system model is characterized by a normalized right graph symbol and its worst-case error bound with possibly less conservativeness is quantified by the v-gap metric using a priori and a posteriori information on the EIV model. As a consequence, such model set is well suited to subsequent robust controller design via the H∞loop-shaping method proposed by Vinnicombe. Finally, the proposed identification method is verified by a numerical simulation example. © 2016, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.

关 键 词：最坏情况辨识 变量带误差(EIV)模型 多输入多输出(MIMO) 频域 v-gap度量 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]