NDLI: A unified view of Balanced Truncation and Singular Perturbation Approximations

Content Provider	IEEE Xplore Digital Library
Author	Pare, P.E. Wilson, A.T. Transtrum, M.K. Warnick, S.C.
Copyright Year	2015
Description	Author affiliation: Univ. of Illinois at Urbana-Champaign, Champaign, IL, USA (Pare, P.E.) \|\| Brigham Young Univ., Provo, UT, USA (Wilson, A.T.; Transtrum, M.K.; Warnick, S.C.)
Abstract	This paper demonstrates that both Balanced Truncation and Balanced Singular Perturbation Approximations can be viewed as limiting approximations of the same parameterization of Linear Time Invariant (LTI) systems. First, we introduce a specific parameterization of LTI systems that distinguishes dynamic and structural parameters. Next, we apply the Model Boundary Approximation Method (MBAM) [1] to particular parameters to achieve different approximations. This unified view of these popular model reduction techniques, which themselves can result in quite different approximations, illustrates that each approximation corresponds to a particular boundary element on a manifold, the “model manifold,” which is associated with the specific choice of model parameterization and is embedded in a sample space of measured outputs.
Starting Page	1989
Ending Page	1994
File Size	486146
Page Count	6
File Format	PDF
e-ISBN	9781479986842
DOI	10.1109/ACC.2015.7171025
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Approximation methods Manifolds Mathematical model Reduced order systems Measurement Linear systems Biological system modeling
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Order reduction of power system models using square-root balanced approach

Model Order Reduction of High Order LTI System Using Balanced Truncation Approximation

Balanced truncation and singular perturbation approximation model order reduction for stochastically controlled linear systems

Dimension reduction and controller design for a waste water treatment plant

Balanced Truncation of a stable non-minimal deep-submicron CMOS interconnect

A new frequency weighted model reduction technique using balanced singular perturbation approximation

Applications of the singular perturbation approximation of balanced systems

A symmetry approach for balanced truncation of positive linear systems

Dynamic modeling and model order reduction for vapor compression cycle

A unified view of Balanced Truncation and Singular Perturbation Approximations

Similar Documents

Order reduction of power system models using square-root balanced approach

Model Order Reduction of High Order LTI System Using Balanced Truncation Approximation

Balanced truncation and singular perturbation approximation model order reduction for stochastically controlled linear systems

Dimension reduction and controller design for a waste water treatment plant

Balanced Truncation of a stable non-minimal deep-submicron CMOS interconnect

A new frequency weighted model reduction technique using balanced singular perturbation approximation

Applications of the singular perturbation approximation of balanced systems

A symmetry approach for balanced truncation of positive linear systems

Dynamic modeling and model order reduction for vapor compression cycle

A unified view of Balanced Truncation and Singular Perturbation Approximations