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Balanced truncation of perturbative representations of nonlinear systems

Condon, Marissa and Grahovski, Georgi G. (2007) Balanced truncation of perturbative representations of nonlinear systems. In: ECMS 2007 - 21st European Conference on Modelling and Simulation, 4-6 June 2007, Prague, Czech Republic.

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Abstract

The paper presents a novel approach for a balanced truncation style of model reduction of a perturbative representation of a nonlinear system. Empirical controllability and observability gramians for nonlinear systems are employed to define a projection matrix. However, the projection matrix is applied to the perturbative representation of the system rather than directly to the exact nonlinear system. This is to achieve the required increase in efficiency desired of a reduced-order model. Application of the new method is illustrated through a sample test-system. The technique will be compared to the standard approach for reducing a perturbative representation of a nonlinear system.

Item Type:Conference or Workshop Item (Paper)
Event Type:Conference
Refereed:No
Uncontrolled Keywords:controllability and observability gramians; model reduction; balanced truncation;
Subjects:Engineering > Electronic engineering
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Engineering and Computing > School of Electronic Engineering
Research Initiatives and Centres > Research Institute for Networks and Communications Engineering (RINCE)
Publisher:European Council for Modelling and Simulation
Official URL:http://www.scs-europe.net/conf/ecms2007
Copyright Information:© 2007 European Council for Modelling and Simulation
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
Funders:Science Foundation Ireland, SFI 05/IN.1/I18
ID Code:2440
Deposited On:03 Mar 2009 11:19 by DORAS Administrator. Last Modified 24 May 2010 11:27

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