Generalized incremental balanced truncation for nonlinear systems

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

OnderzoeksoutputAcademicpeer 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.

Originele taal-2English
Titel2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
UitgeverijInstitute of Electrical and Electronics Engineers Inc.
Aantal pagina's6
ISBN van geprinte versie9781467357173
StatusPublished - 2013
Evenement52nd IEEE Conference on Decision and Control, CDC 2013 - Firenze, Florence, Italy
Duur: 10-dec-201313-dec-2013


Conference52nd IEEE Conference on Decision and Control, CDC 2013

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