Generalized incremental balanced truncation for nonlinear systems
2013 (English)In: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC), IEEE conference proceedings, 2013, 5552-5557 p.Conference paper (Refereed)
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.
Place, publisher, year, edition, pages
IEEE conference proceedings, 2013. 5552-5557 p.
, IEEE Conference on Decision and Control. Proceedings, ISSN 0743-1546
Nonlinear systems, Stability, Anti-symmetric, Balanced truncation, Energy functions, Model reduction, Nonlinear electronic circuits, Reduced order models, Reduction techniques, Stability properties, Control theory
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-150878DOI: 10.1109/CDC.2013.6760764ISI: 000352223506047ScopusID: 2-s2.0-84902354952ISBN: 978-146735717-3OAI: oai:DiVA.org:kth-150878DiVA: diva2:745732
52nd IEEE Conference on Decision and Control, CDC 2013, 10 December 2013 through 13 December 2013, Florence, Italy
QC 201409112014-09-112014-09-112015-12-08Bibliographically approved