IQC Synthesis based on Inertia Constraints
1998 (English)Report (Other academic)
Integral quadratic constraints (IQC:s) can be used for proving stability of systems with uncertainties and nonlinearities. Similarly, IQC:s can also be used for controller synthesis. Necessary and sufficient conditions for the existence of such a controller is derived. These conditions include linear matrix inequalities (LMI:s) and matrix inertia specifying the number of negative eigenvalues of a matrix. In general, these conditions are non-convex. Connections to bilinear matrix inequalities and LMI:s with rank constraints are also given.
Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 1998. , 15 p.
LiTH-ISY-R, ISSN 1400-3902 ; 1994
controller synthesis, Matrix inertia, Linear matrix inequalities, Integral quadratic constraints
Maskinelement Servomekanismer Automation, Cybernetik Informationsteori
IdentifiersURN: urn:nbn:se:liu:diva-55625ISRN: LiTH-ISY-R-1994OAI: oai:DiVA.org:liu-55625DiVA: diva2:316286