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Robust System Identification of Continuous-Time Model from Frequency Response Function Data
TANG Wei * #
School of Automation, Northwestern Polytechnical University
*Correspondence author
#Submitted by
Subject:
Funding: National Natural Science Foundation of China (No.No. 50905140), Specialized Research Fund for the Doctoral Program of Higher Education of China(No.No.20096102120039)
Opened online:26 April 2011
Accepted by: none
Citation: TANG Wei.Robust System Identification of Continuous-Time Model from Frequency Response Function Data[OL]. [26 April 2011] http://en.paper.edu.cn/en_releasepaper/content/4423033
 
 
This paper addresses the numerical conditioning problem that arises in the continuous-time system identification case. To solve this problem, a new frequency domain weighted least squares estimator using matrix orthogonal polynomial basis (MOPB) is proposed, which allow us to model transfer function matrix without vector operation, and yield perfect condition number. The key idea is to expand the matrix fraction description model on MOPB. The construction of MOPB is described in this paper and the efficacy of this method is illustrated with a numerical example.
Keywords:system identification; continuous-time model; numerical conditioning; matrix orthogonal polynomial basis
 
 
 

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