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


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.
Number of pages6
ISBN (Print)9781467357173
Publication statusPublished - 2013
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Firenze, Florence, Italy
Duration: 10-Dec-201313-Dec-2013


Conference52nd IEEE Conference on Decision and Control, CDC 2013

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