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Continuous-, discrete- and sampled-data- H∞ˆž control - a unified framework
Högskolan Väst, Institutionen för ingenjörsvetenskap, Avd för automation och datateknik.ORCID-id: 0000-0001-5608-8636
Chalmers University of Technology, Control Engineering Lab, SE-41 2 96 Goteborg, Sweden .
Åbo Akademi University, Department of Chemical Engineering, FIN-20500 Abo, Finland .
2000 (engelsk)Inngår i: IEEE Proceedings: Conference on Decision and Control (CDC), ISSN 0191-2216, Vol. 2, s. 1936-1941Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We present a unified and general framework for H∞-control in both continuous time, discrete time and combinations of these. The general result is a hybrid continuous-/discrete-time H∞ˆž-controller. Using a compact hybrid notation, the work shows a close relationship between the continuous-and discrete-time solutions. In fact, the pure continuous and discrete time equations may be obtained as two similar interpretations of the general result. There are no assumptions made on certain system matrices being zero or normalised, e.g. D11 = 0. The method is Riccati equation (RE) based, and it is shown how the continuous REs can be "lifted" into discrete ones reflecting the system behaviour during the period. Typical applications are control of continuous-time or discrete-time periodic systems, as well as multirate and sampled-data control, including mixed continuous and sampled-data measurements.

sted, utgiver, år, opplag, sider
2000. Vol. 2, s. 1936-1941
Emneord [en]
Control system synthesis; Discrete time control systems; Feedback; Matrix algebra; Riccati equations; Sampled data control systems; Time varying systems, Discrete time periodic systems; Hold-states; Output feedback, Optimal control systems
HSV kategori
Forskningsprogram
TEKNIK, Produktions- och materialteknik
Identifikatorer
URN: urn:nbn:se:hv:diva-7882DOI: 10.1109/CDC.2000.912146Scopus ID: 2-s2.0-0034438726OAI: oai:DiVA.org:hv-7882DiVA, id: diva2:845774
Konferanse
Conference of 39th IEEE Confernce on Decision and Control ; Conference Date: 12 December 2000 Through 15 December 2000; Conference Code:58277
Tilgjengelig fra: 2015-08-13 Laget: 2015-08-12 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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