NDLI: An information theoretic approach to model reduction based on frequency-domain Cross-Gramian information

Content Provider	IEEE Xplore Digital Library
Author	Jinbao Fu Chongliang Zhong Yalin Ding Jiufei Zhou
Copyright Year	2010
Description	Author affiliation: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin Province, China (Jinbao Fu; Chongliang Zhong; Yalin Ding; Jiufei Zhou)
Abstract	We focused our attention on model reduction for linear time invariant (LTI) continuous time systems with single input and single output (SISO). We analyzed the strongpoint and shortcoming of an information theoretic approach called minimum information loss method for model reduction. We explained relationships between the steady-state information entropy and controllability information for the Gaussian systems. The controllability, observability and Cross-Gramian information were analyzed in the time-domain. The frequency-domain Cross-Gramian information (FCGI) was defined based on Cross-Gramian matrix containing information associated with both controllability and observability. Furthermore, a valuable application of the frequency-domain Cross-Gramian information to model reduction (FCGMIL) was developed by using the concept and properties of frequency-domain Cross-Gramian information. The performance index of FCGMIL is to minimize the frequency-domain Cross-Gramian information loss caused by eliminating the state variables with weak contributions to Cross-Gramian information over some frequency band. Two numerical examples are illustrated to verify the efficiency of FCGMIL.
Starting Page	3679
Ending Page	3683
File Size	518355
Page Count	5
File Format	PDF
ISBN	9781424467129
e-ISBN	9781424467129
DOI	10.1109/WCICA.2010.5553913
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-07
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Reduced order systems Frequency domain analysis Controllability Observability Eigenvalues and eigenfunctions Time domain analysis Steady-state Model reduction Minimum information Frequency-domain Gramian
Content Type	Text
Resource Type	Article

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