Dynamic Relative Gain Array Estimation using Local Polynomial Approximation Approach

被引:5
作者
Kadhim, Ali M. H. [1 ,2 ]
Birk, Wolfgang [1 ]
Arranz, Miguel Castano [1 ]
机构
[1] Lulea Univ Technol, Signals & Syst Div, Control Engn Grp, Lulea, Sweden
[2] Univ Kufa, Fac Engn, Dept Elect Engn, Najaf, Iraq
基金
欧盟地平线“2020”;
关键词
Dynamic Relative Gain Array; nonparametric identification; local polynomial approximation approach; weakly nonlinear systems; STEADY-STATE;
D O I
10.4173/mic.2016.4.5
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article presents a procedure that utilizes the local polynomial approximation approach in the estimation of the Dynamic Relative Gain Array (DRGA) matrix and its uncertainty bounds for weakly nonlinear systems. This procedure offers enhanced frequency resolution and noise reduction when random excitation is used. It also allows separation of nonlinear distortions with shorter measuring time when multisine excitation is imposed. The procedure is illustrated using the well-known quadruple tank process as a case study in simulation and in real life. Besides, a comparison with the pairing results of the static RGA, nonlinear RGA and DRGA based on linearized quadruple tank model for different simulation cases is performed.
引用
收藏
页码:247 / 259
页数:13
相关论文
共 23 条
[1]  
[Anonymous], 2001, CONTROL SYSTEM DESIG
[2]   A comprehensive study of the bias and variance of frequency-response-function measurements: Optimal window selection and overlapping strategies [J].
Antoni, Jerome ;
Schoukens, Johan .
AUTOMATICA, 2007, 43 (10) :1723-1736
[3]  
Arranz MC, 2015, 2015 EUROPEAN CONTROL CONFERENCE (ECC), P2438, DOI 10.1109/ECC.2015.7330904
[5]   Relative gain array analysis for uncertain process models [J].
Chen, D ;
Seborg, DE .
AICHE JOURNAL, 2002, 48 (02) :302-310
[6]   Linear approximation of weakly nonlinear MIMO systems [J].
Dobrowiecki, Tadeusz P. ;
Schoukens, Johan .
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2007, 56 (03) :887-894
[7]  
Glad S., 2000, Extensions of the rga concept to nonlinear systems
[8]   CLOSED-LOOP PROPERTIES FROM STEADY-STATE GAIN INFORMATION [J].
GROSDIDIER, P ;
MORARI, M ;
HOLT, BR .
INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1985, 24 (02) :221-235
[9]   The quadruple-tank process: A multivariable laboratory process with an adjustable zero [J].
Johansson, KH .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2000, 8 (03) :456-465
[10]  
Kadhim A. M., 2015, CCA, DOI [10.1109/CCA.2015.7320840, DOI 10.1109/CCA.2015.7320840]