Error quantification of the normalized right graph symbol for an errors-in-variables system

作     者：Lihui GENG Shigang CUI Zeyu XIA 

作者机构：Tianjin Key Laboratory of Information Sensing and Intelligent ControlSchool of Automation and Electrical EngineeringTianjin University of Technology and Education 

出 版 物：《Control Theory and Technology》 (控制理论与技术（英文版）)

年 卷 期：2015年第13卷第3期

页      面：238-244页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported in part by the National Natural Science Foundation of China(Nos.61203119,61304153) the Key Program of Tianjin Natural Science Foundation,China(No.14JCZDJC36300) the Tianjin University of Technology and Education funded project(No.RC14-48) 

主　　题：Error quantification errors-in-variables normalized right graph symbol 

摘      要：This paper proposes a novel method to quantify the error of a nominal normalized right graph symbol （NRGS） for an errors- in-variables （EIV） system corrupted with bounded noise. Following an identification framework for estimation of a perturbation model set, a worst-case v-gap error bound for the estimated nominal NRGS can be first determined from a priori and a posteriori information on the underlying EIV system. Then, an NRGS perturbation model set can be derived from a close relation between the v-gap metric of two models and H∞-norm of their NRGSs＇ difference. The obtained NRGS perturbation model set paves the way for robust controller design using an H∞ loop-shaping method because it is a standard form of the well-known NCF （normalized coprime factor） perturbation model set. Finally, a numerical simulation is used to demonstrate the effectiveness of the proposed identification method.