Modified balanced truncation preserving ellipsoidal cone-invariance

Summary, in English

We consider model order reduction of stable linear systems which leave ellipsoidal cones invariant. We show how balanced truncation can be modified to preserve cone- invariance. Additionally, this implies a method to perform external positivity preserving model reduction for a large class of systems.

• Författare: Christian Grussler; Anders Rantzer
• Avdelning/ar: Institutionen för reglerteknik; ELLIIT: the Linköping-Lund initiative on IT and mobile communication
• Publiceringsår: 2014
• Språk: Engelska
• Sidor: 2365-2370
• Publikation/Tidskrift/Serie: IEEE Xplore Digital Library
• Länkar: http://dx.doi.org/10.1109/CDC.2014.7039749
• Dokumenttyp: Konferensbidrag
• Förlag: IEEE - Institute of Electrical and Electronics Engineers Inc.
• Ämne: Control Engineering
• Conference name: 53rd IEEE Conference on Decision and Control
• Conference date: 2014-12-15
• Conference place: Los Angeles, CA, United States
• Status: Published
• Projekt: LCCC
• Forskningsgrupp: LCCC; ELLIIT