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Bounding L2 Gain System Error Due to Approximations of the Nonlinear Vector Field
Electrical Engineering and Computer Science, Massachusetts Institute of Technology.
Electrical Engineering and Computer Science, Massachusetts Institute of Technology.
Electrical Engineering and Computer Science, Massachusetts Institute of Technology.
2007 (Engelska)Ingår i: Proceedings of the IEEE Conference on Computer-Aided Design, 2007, s. 879-886Konferensbidrag, Publicerat paper (Refereegranskat)
Abstract [en]

Typical nonlinear model order reduction approachesneed to address two issues: reducing the order ofthe model, and approximating the vector field. In this paperwe focus exclusively on the second issue, and present resultscharacterizing the repercussions at the system level of vector fieldapproximations. The error assessment problem is formulatedas the L2 gain upper bounding problem of a scaled feedbackinterconnection. Applying the small gain theorem in the proposedsetup, we prove that the L2 gain of the error system is upperbounded by the L2 gain of the vector field approximationerror, provided it is small. In addition, the paper also presentsa numerical procedure, based on the IQC/LMI approach, toperform the error estimation task with less conservatism. Anumerical example is given in this paper to demonstrate thepractical implications of the presented results.

Ort, förlag, år, upplaga, sidor
2007. s. 879-886
Nationell ämneskategori
Reglerteknik
Identifikatorer
URN: urn:nbn:se:kth:diva-82413OAI: oai:DiVA.org:kth-82413DiVA, id: diva2:498216
Konferens
IEEE/ACM International Conference on Computer-Aided Design. San Jose, CA, USA. 5-8 November 2007
Anmärkning
QC 20120522Tillgänglig från: 2012-02-11 Skapad: 2012-02-11 Senast uppdaterad: 2012-05-22Bibliografiskt granskad

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