Generalized incremental balanced truncation for nonlinear systems

B. Besselink, N. Van De Wouw, J. M A Scherpen, H. Nijmeijer

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

The method of generalized incremental balanced truncation is introduced in this paper, providing a technique for model reduction of nonlinear systems in which the autonomous part of the vector field is anti-symmetric. This approach differs from existing balancing-like reduction techniques in the definition of two novel, incremental energy functions, which provides several advantages. First, stability properties of the reduced-order model can be guaranteed, hereby considering the stability of trajectories for both zero and nonzero input. Second, a computable bound on the reduction error is derived. The reduction technique is illustrated by means of application to an example of a nonlinear electronic circuit.

Original languageEnglish
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5552-5557
Number of pages6
ISBN (Print)9781467357173
DOIs
Publication statusPublished - 2013
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Firenze, Florence, Italy
Duration: 10-Dec-201313-Dec-2013

Conference

Conference52nd IEEE Conference on Decision and Control, CDC 2013
Country/TerritoryItaly
CityFlorence
Period10/12/201313/12/2013

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