Identification and control: Joint input design and H-infinity state feedback with ellipsoidal parametric uncertainty via LMIs
2008 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 44, no 2, 543-551 p.Article in journal (Refereed) Published
One obstacle in connecting robust control with models generated from prediction error identification is that very few control design methods are able to directly cope with the ellipsoidal parametric uncertainty regions that are generated by such identification methods. In this contribution we present a joint robust state feedback control/input design procedure which guarantees stability and prescribed closed-loop performance using models identified from experimental data. This means that given H-infinity specifications on the closed-loop transfer function are translated into sufficient requirements on the input signal spectrum used to identify the process. The condition takes the form of a linear matrix inequality.
Place, publisher, year, edition, pages
2008. Vol. 44, no 2, 543-551 p.
identification for robust control, H-infinity identification, least-squares identification, robust identification, confidence ellipsoids, robustness to uncertainties, parameter uncertainty, uncertain linear systems, LMI optimization
Research subject SRA - ICT
IdentifiersURN: urn:nbn:se:kth:diva-33091DOI: 10.1016/j.automatica.2007.06.025ISI: 000253260400026ScopusID: 2-s2.0-37849050445OAI: oai:DiVA.org:kth-33091DiVA: diva2:415361
FunderSwedish Research Council, 621-2007-6271
QC 201105062011-05-062011-04-282016-05-23Bibliographically approved