Sensitivity shaping for systems with time delay by Nevanlinna-Pick interpolation
2007 (English)In: PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, 2007, 2821-2825 p.Conference paper (Refereed)
It was pointed out by Foias, Tannenbaum and Zames that the unweighted H-infinity sensitivity optimization for systems with time delay can be formulated as a finite dimensional Nevanlinna-Pick interpolation. The purpose of this paper is to consider this formulation. The synthesis of the controller and the shaping of sensitivity function are carried out by the theory of Nevanlinna-Pick interpolation with degree constraint. It turns out that the controller has a structure of the Smith predictor. The finite impulse response system is only determined by non-minimum phase zeros and unstable poles of the plant.
Place, publisher, year, edition, pages
2007. 2821-2825 p.
, Proceedings of the IEEE Conference on Decision and Control, ISSN 0191-2216
Constraint theory, Interpolation, Optimization, Time delay, Finite impulse response system, Nevanlinna Pick interpolation, Sensitivity functions
IdentifiersURN: urn:nbn:se:kth:diva-8736DOI: 10.1109/CDC.2007.4434668ISI: 000255181702060ScopusID: 2-s2.0-62749180882ISBN: 978-1-4244-1497-0OAI: oai:DiVA.org:kth-8736DiVA: diva2:14138
46th IEEE Conference on Decision and Control, New Orleans, LA, DEC 12-14, 2007
QC 201011162008-06-112008-06-112010-11-16Bibliographically approved