Employing Kronecker Canonical Form for H-infinity Synthesis Problems
2011 (English)Report (Other academic)
The Kronecker canonical form (KCF) can be employed when solving H-infinity synthesis problem. The KCF structure reveals variables that can be eliminated in the semidefinite program that defines the controller. The structure can also be used to remove states in the controller without sacrificing performance. In order to find the KCF structure, we can transform the relevant matrices to a generalized upper triangular (Guptri) form using orthogonal transformations. Thus, we can avoid finding the KCF structure explicitly, which is a badly conditioned problem.
Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2011. , 21 p.
LiTH-ISY-R, ISSN 1400-3902 ; 3007
Controller synthesis, Kronecker canonical form (KCF), Linear matrix inequality (LMI), Model reduction, Semidefinite programming, Singular value decomposition (SVD)
IdentifiersURN: urn:nbn:se:liu:diva-97950ISRN: LiTH-ISY-R-3007OAI: oai:DiVA.org:liu-97950DiVA: diva2:650761